{"id":11436,"date":"2026-09-24T09:00:00","date_gmt":"2026-09-24T00:00:00","guid":{"rendered":"https:\/\/triumphmind.com\/cfa\/?p=11436"},"modified":"2026-09-29T09:01:32","modified_gmt":"2026-09-29T00:01:32","slug":"cfa-l2-fi-formulas","status":"publish","type":"post","link":"https:\/\/triumphmind.com\/cfa\/2026\/09\/24\/cfa-l2-fi-formulas\/","title":{"rendered":"\u3010CFA\u00ae\ufe0e L2 Fixed Income \u516c\u5f0f\u96c6\u3011Fixed Income \u306e\u91cd\u8981\u516c\u5f0f26\u672c\uff5c\u8a18\u53f7\u306e\u610f\u5473\u3068\u4f7f\u3044\u3069\u3053\u308d\u3092\u5358\u5143\u5225\u306b\u6574\u7406"},"content":{"rendered":"<link rel=\"stylesheet\" href=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.18.9\/dist\/katex.min.css\">\n<style> .cfagl-nav{background:#f6f7fb;border-radius:6px;padding:1em 1.2em;margin:1em 0;line-height:1.9;word-break:normal;overflow-wrap:anywhere} .cfagl-nav a{display:block;margin:.15em 0} .cfagl-lm{font-size:.9em;margin:.2em 0 1em} .cfagl-t{border:1px solid #d5d9e3;border-left:4px solid #172152;border-radius:4px;padding:.75em 1em;margin:0 0 .8em;background:#fff} .cfagl-t .en{display:block;font-weight:bold;color:#172152;line-height:1.5;word-break:normal;overflow-wrap:anywhere} .cfagl-t .ja{display:block;font-size:.9em;color:#555;margin:.15em 0 .4em;line-height:1.5} .cfagl-t .df{display:block;line-height:1.75} .cfafm-c{border:1px solid #d5d9e3;border-top:4px solid #172152;border-radius:4px;padding:.9em 1em;margin:0 0 1.2em;background:#fff} .cfafm-c .nm{display:block;font-weight:bold;color:#172152;line-height:1.5} .cfafm-c .ne{display:block;font-size:.85em;color:#667;margin-bottom:.5em;word-break:normal;overflow-wrap:anywhere} .cfafm-x{background:#f6f7fb;border-radius:4px;padding:.6em .8em;margin:.4em 0 .7em;overflow-x:auto;overflow-y:hidden;-webkit-overflow-scrolling:touch} .cfafm-x .katex-display{margin:.3em 0!important} .cfafm-lg{margin:.3em 0 .6em;padding:0;font-size:.92em} .cfafm-lg div{display:flex;gap:.8em;padding:.25em 0;border-bottom:1px dotted #d5d9e3;line-height:1.6} .cfafm-lg .s{flex:0 0 auto;min-width:4.5em;max-width:45%;overflow-x:auto} .cfafm-lg .d{flex:1 1 auto} .cfafm-x .katex-display+.katex-display{margin-top:.2em!important} @media (max-width:600px){.cfafm-x .katex-display>.katex{font-size:.9em}.cfafm-lg div{flex-wrap:wrap;gap:.1em .8em}.cfafm-lg .s{max-width:100%}} .cfafm-u{display:block;line-height:1.75;font-size:.95em} .cfafm-u b{color:#172152} .cfahub-g{display:grid;grid-template-columns:repeat(auto-fill,minmax(250px,1fr));gap:.8em;margin:1em 0} .cfahub-g a{display:block;border:1px solid #d5d9e3;border-left:4px solid #172152;border-radius:4px;padding:.8em 1em;background:#fff;text-decoration:none;color:#172152;line-height:1.5} .cfahub-g a .n{display:block;font-weight:bold} .cfahub-g a .j{display:block;font-size:.88em;color:#555} .cfagl-t p:empty,.cfafm-c p:empty,.cfahub-g p:empty,.cfagl-nav p:empty{display:none} .cfagl-lsc{border:2px solid #c9a227;background:#fffbea;border-radius:6px;padding:.9em 1.1em;margin:1em 0 1.4em;line-height:1.75} .cfagl-lsc b{display:block;color:#8a6d1d;margin-bottom:.3em} .cfagl-lsc a{display:inline-block;margin-top:.4em;font-weight:bold} .cfahub-g a .c{display:block;font-size:.82em;color:#8a6d1d;margin-top:.3em} <\/style>\n<div class=\"box05\">CFA\u00ae\ufe0e Level 2\u300cFixed Income\uff08\u50b5\u5238\uff09\u300d\u306e\u91cd\u8981\u516c\u5f0f26\u672c\u3092\u3001\u5b66\u7fd2\u5358\u5143\uff08Learning Module\uff09\u3054\u3068\u306b\u6574\u7406\u3057\u307e\u3057\u305f\u3002\u516c\u5f0f\u3054\u3068\u306b<strong>\u6570\u5f0f\u30fb\u8a18\u53f7\u306e\u610f\u5473\u30fb\u4f7f\u3044\u3069\u3053\u308d<\/strong>\u3092\u307e\u3068\u3081\u3066\u3044\u307e\u3059\u3002\u6570\u5f0f\u304c\u6a2a\u306b\u9577\u3044\u5834\u5408\u306f\u3001\u6a2a\u306b\u30b9\u30af\u30ed\u30fc\u30eb\u3057\u3066\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/div>\n<div class=\"cfagl-lsc\"><b>Leveraged Support Course \u3092\u3054\u5229\u7528\u306e\u65b9\u3078<\/b>FA-Academy \u306e Leveraged Support Course\uff08LSC\uff09\u3092\u3054\u5229\u7528\u306e\u65b9\u306b\u306f\u3001\u3053\u306e\u7528\u8a9e\u96c6\u3068\u516c\u5f0f\u96c6\u3092\u30ec\u30d9\u30eb\u5225\u306b\u6574\u7406\u3057\u305f\u8cc7\u6599\uff08PDF\uff09\u3092\u304a\u6e21\u3057\u3057\u3066\u3044\u307e\u3059\u3002\u30aa\u30d5\u30e9\u30a4\u30f3\u3067\u306e\u78ba\u8a8d\u3084\u8a66\u9a13\u76f4\u524d\u306e\u898b\u76f4\u3057\u306b\u3054\u6d3b\u7528\u304f\u3060\u3055\u3044\u3002<a href=\"https:\/\/triumphmind.com\/cfa\/side_by_side\/\">Level 2 Leveraged Support Course \u306e\u8a73\u7d30\u3092\u898b\u308b<\/a><\/div>\n<h2>\u5358\u5143\uff08LM\uff09\u4e00\u89a7<\/h2>\n<div class=\"cfagl-nav\"><a href=\"#l2-fi-f-lm1\">LM1 \u91d1\u5229\u306e\u671f\u9593\u69cb\u9020\u3068\u91d1\u5229\u5909\u52d5<\/a><a href=\"#l2-fi-f-lm2\">LM2 \u7121\u88c1\u5b9a\u8a55\u4fa1\u306e\u67a0\u7d44\u307f<\/a><a href=\"#l2-fi-f-lm3\">LM3 \u30aa\u30d7\u30b7\u30e7\u30f3\u4ed8\u304d\u50b5\u5238\u306e\u8a55\u4fa1\u3068\u5206\u6790<\/a><a href=\"#l2-fi-f-lm4\">LM4 \u4fe1\u7528\u5206\u6790\u30e2\u30c7\u30eb<\/a><a href=\"#l2-fi-f-lm5\">LM5 \u30af\u30ec\u30b8\u30c3\u30c8\u30fb\u30c7\u30d5\u30a9\u30eb\u30c8\u30fb\u30b9\u30ef\u30c3\u30d7<\/a><\/div>\n<h2>Fixed Income \u306e\u91cd\u8981\u516c\u5f0f\uff08LM\u5225\uff09<\/h2>\n<h3 id=\"l2-fi-f-lm1\">LM1 The Term Structure and Interest Rate Dynamics\uff08\u91d1\u5229\u306e\u671f\u9593\u69cb\u9020\u3068\u91d1\u5229\u5909\u52d5\uff09<\/h3>\n<div class=\"cfagl-lm\">\u3053\u306e\u5358\u5143\u306e\u8981\u70b9\u89e3\u8aac\uff1a<a href=\"https:\/\/triumphmind.com\/cfa\/2026\/09\/22\/cfa-l2-fi-lm1\/\">LM1 \u91d1\u5229\u306e\u671f\u9593\u69cb\u9020\u3068\u91d1\u5229\u5909\u52d5<\/a><\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">1. \u30b9\u30dd\u30c3\u30c8\u30ec\u30fc\u30c8\u3068\u5272\u5f15\u4fc2\u6570\u306e\u95a2\u4fc2<\/div>\n<div class=\"ne\">Spot Rate and Discount Factor<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.2574em;vertical-align:-0.936em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3214em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7673em;\"><span style=\"top:-2.989em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:1em;\"><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">\u27fa<\/span><span class=\"mspace\" style=\"margin-right:1em;\"><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.6779em;vertical-align:-0.95em;\"><\/span><span class=\"minner\"><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3214em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.836em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.7279em;\"><span style=\"top:-3.9029em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1\/<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6444em;\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">N\u671f\u6e80\u671f\u306e\u5272\u5f15\u4fc2\u6570\uff08DF = Discount Factor\u3002\u5c06\u6765\u306e1\u5358\u4f4d\u53d7\u53d6\u306e\u73fe\u5728\u4fa1\u5024\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">N\u671f\u306e\u30b9\u30dd\u30c3\u30c8\u30ec\u30fc\u30c8\uff08\u30bc\u30ed\u30af\u30fc\u30dd\u30f3\u30ec\u30fc\u30c8\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u6e80\u671f\u307e\u3067\u306e\u671f\u9593\u6570<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u30b9\u30dd\u30c3\u30c8\u30fb\u30ec\u30fc\u30c8\u304b\u3089\u5272\u5f15\u4fc2\u6570\u3092\u6c42\u3081\u308b\u3001\u307e\u305f\u306f\u5272\u5f15\u4fc2\u6570\u304b\u3089\u30b9\u30dd\u30c3\u30c8\u30fb\u30ec\u30fc\u30c8\u3092\u9006\u7b97\u3059\u308b\u5f0f\u3002\u30d5\u30a9\u30ef\u30fc\u30c9\u30fb\u30ec\u30fc\u30c8\u3084\u30b9\u30ef\u30c3\u30d7\u30fb\u30ec\u30fc\u30c8\u306e\u8a08\u7b97\u306e\u57fa\u790e\u3068\u306a\u308b\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">2. \u30d5\u30a9\u30ef\u30fc\u30c9\u30ec\u30fc\u30c8\u30fb\u30e2\u30c7\u30eb<\/div>\n<div class=\"ne\">Forward Rate Model<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.1413em;vertical-align:-0.25em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0502em;\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8913em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0502em;\">B<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.1413em;vertical-align:-0.25em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8913em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.1774em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.1076em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">A<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0502em;\">B<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8913em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0502em;\">B<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0502em;\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">A\u671f\u30fbB\u671f\u306e\u30b9\u30dd\u30c3\u30c8\u30ec\u30fc\u30c8<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9805em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.1076em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">A<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0502em;\">B<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">A\u671f\u5f8c\u306b\u30b9\u30bf\u30fc\u30c8\u3059\u308b(B\u2212A)\u671f\u9593\u306e\u30d5\u30a9\u30ef\u30fc\u30c9\u30ec\u30fc\u30c8<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B<\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30d5\u30a9\u30ef\u30fc\u30c9\u306e\u8d77\u70b9(A)\u3068\u6e80\u671f(B)\u307e\u3067\u306e\u671f\u9593<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>2\u3064\u306e\u5e74\u9650\u306e\u30b9\u30dd\u30c3\u30c8\u30fb\u30ec\u30fc\u30c8\u304b\u3089\u3001\u5c06\u6765\u6642\u70b9\u3092\u8d77\u70b9\u3068\u3059\u308b\u30d5\u30a9\u30ef\u30fc\u30c9\u30fb\u30ec\u30fc\u30c8\u3092\u7121\u88c1\u5b9a\u306e\u95a2\u4fc2\u3067\u5c0e\u304f\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">3. \u5272\u5f15\u4fc2\u6570\u306b\u3088\u308b\u30d5\u30a9\u30ef\u30fc\u30c9\u4fa1\u683c<\/div>\n<div class=\"ne\">Forward Price from Discount Factors<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">A<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0502em;\">B<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.1963em;vertical-align:-0.836em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0502em;\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.836em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">A<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0502em;\">B<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">A\u6642\u70b9\u306b\u53d7\u3051\u6e21\u3059\uff08B\u2212A\uff09\u671f\u6e80\u671f\u50b5\u306e\u30d5\u30a9\u30ef\u30fc\u30c9\u4fa1\u683c<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0502em;\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">A\u671f\u30fbB\u671f\u306e\u5272\u5f15\u4fc2\u6570\uff08DF = Discount Factor\u3002\u5c06\u6765\u306e1\u5358\u4f4d\u53d7\u53d6\u306e\u73fe\u5728\u4fa1\u5024\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B<\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u53d7\u6e21\u6642\u70b9\uff08A\uff09\u3068\u50b5\u5238\u306e\u6e80\u671f\u6642\u70b9\uff08B\uff09\u307e\u3067\u306e\u671f\u9593<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u73fe\u6642\u70b9\u3067\u5408\u610f\u3057\u5c06\u6765\u53d7\u3051\u6e21\u3059\u30bc\u30ed\u30af\u30fc\u30dd\u30f3\u50b5\u306e\u30d5\u30a9\u30ef\u30fc\u30c9\u4fa1\u683c\u3092\u30012\u3064\u306e\u5272\u5f15\u4fc2\u6570\u306e\u6bd4\u3068\u3057\u3066\u6c42\u3081\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">4. \u30b9\u30dd\u30c3\u30c8\u30ec\u30fc\u30c8=\u30d5\u30a9\u30ef\u30fc\u30c9\u30ec\u30fc\u30c8\u306e\u5e7e\u4f55\u5e73\u5747<\/div>\n<div class=\"ne\">Spot Rate as Geometric Mean of Forward Rates<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.8em;vertical-align:-0.65em;\"><\/span><span class=\"mord\"><span class=\"delimsizing size2\">[<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.1076em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.1076em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.0779em;vertical-align:-0.65em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.1076em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"delimsizing size2\">]<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.4279em;\"><span style=\"top:-3.6029em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">1\/<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6444em;\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">T\u671f\u306e\u30b9\u30dd\u30c3\u30c8\u30ec\u30fc\u30c8<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">1\u671f\u30b9\u30dd\u30c3\u30c8\u30ec\u30fc\u30c8<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9805em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.1076em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">t\u671f\u5f8c\u30b9\u30bf\u30fc\u30c8\u306e1\u671f\u30d5\u30a9\u30ef\u30fc\u30c9\u30ec\u30fc\u30c8<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u6e80\u671f\u307e\u3067\u306e\u671f\u9593\u6570<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>1\u671f\u30b9\u30dd\u30c3\u30c8\u30fb\u30ec\u30fc\u30c8\u3068\u4e00\u9023\u306e1\u671f\u30d5\u30a9\u30ef\u30fc\u30c9\u30fb\u30ec\u30fc\u30c8\u306e\u5e7e\u4f55\u5e73\u5747\u3068\u3057\u3066\u3001\u9577\u3044\u5e74\u9650\u306e\u30b9\u30dd\u30c3\u30c8\u30fb\u30ec\u30fc\u30c8\u3092\u6c42\u3081\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">5. \u30d1\u30fc\u30ec\u30fc\u30c8\u304b\u3089\u306e\u30b9\u30dd\u30c3\u30c8\u30ec\u30fc\u30c8\u30fb\u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7<\/div>\n<div class=\"ne\">Bootstrapping Spot Rates from Par Rates<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6444em;\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.0436em;vertical-align:-0.936em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.1076em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.0436em;vertical-align:-0.936em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.1076em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7401em;\"><span style=\"top:-2.989em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6667em;vertical-align:-0.0833em;\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.0436em;vertical-align:-0.936em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.1076em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2083em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7673em;\"><span style=\"top:-2.989em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.2574em;vertical-align:-0.936em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3214em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7673em;\"><span style=\"top:-2.989em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.4306em;\"><\/span><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30d1\u30fc\u30ec\u30fc\u30c8\uff08\u984d\u9762\u3067\u53d6\u5f15\u3055\u308c\u308b\u50b5\u5238\u306e\u30af\u30fc\u30dd\u30f3\u7387\u3002\u3053\u3053\u3067\u306f\u984d\u9762\u30921\u3068\u3059\u308b\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6389em;vertical-align:-0.2083em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2083em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u65e2\u306b\u6c42\u3081\u305f1\u671f\u30fb2\u671f\u2026N\u22121\u671f\u306e\u30b9\u30dd\u30c3\u30c8\u30ec\u30fc\u30c8<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u89e3\u3053\u3046\u3068\u3059\u308bN\u671f\u30b9\u30dd\u30c3\u30c8\u30ec\u30fc\u30c8<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u5bfe\u8c61\u3068\u3059\u308b\u6e80\u671f\u307e\u3067\u306e\u671f\u9593\u6570<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u30d1\u30fc\u30fb\u30ec\u30fc\u30c8\u304b\u3089\u77ed\u3044\u5e74\u9650\u306e\u9806\u306b\u30b9\u30dd\u30c3\u30c8\u30fb\u30ec\u30fc\u30c8\u3092\u9010\u6b21\u7684\u306b\u6c42\u3081\u308b\u5f0f\u3002\u30d6\u30fc\u30c8\u30b9\u30c8\u30e9\u30c3\u30d7\u6cd5\u306e\u8a08\u7b97\u306b\u7528\u3044\u308b\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">6. \u30b9\u30dd\u30c3\u30c8(\u5272\u5f15\u4fc2\u6570)\u304b\u3089\u306e\u30b9\u30ef\u30c3\u30d7\u30ec\u30fc\u30c8<\/div>\n<div class=\"ne\">Swap Rate from Spot Rates \/ Discount Factors<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.1963em;vertical-align:-0.836em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.836em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.0436em;vertical-align:-0.936em;\"><\/span><span class=\"mord text\"><span class=\"mord\">where<\/span><\/span><span class=\"mspace\" style=\"margin-right:1em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.1076em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.0436em;vertical-align:-0.936em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.1076em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7401em;\"><span style=\"top:-2.989em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6667em;vertical-align:-0.0833em;\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.0436em;vertical-align:-0.936em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.1076em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7673em;\"><span style=\"top:-2.989em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.2574em;vertical-align:-0.936em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3214em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7673em;\"><span style=\"top:-2.989em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6444em;\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">T\u671f\u30b9\u30ef\u30c3\u30d7\u30ec\u30fc\u30c8\uff08\u56fa\u5b9a\u30ec\u30c3\u30b0\u306e\u30ec\u30fc\u30c8\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">1\u671f\u2026T\u671f\u306e\u5272\u5f15\u4fc2\u6570\uff08DF = Discount Factor\u3002\u5c06\u6765\u306e1\u5358\u4f4d\u53d7\u53d6\u306e\u73fe\u5728\u4fa1\u5024\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">1\u671f\u2026T\u671f\u306e\u30b9\u30dd\u30c3\u30c8\u30ec\u30fc\u30c8<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30b9\u30ef\u30c3\u30d7\u306e\u6e80\u671f\u307e\u3067\u306e\u671f\u9593\u6570<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u56fa\u5b9a\u30ec\u30c3\u30b0\u3068\u5909\u52d5\u30ec\u30c3\u30b0\u306e\u73fe\u5728\u4fa1\u5024\u304c\u7b49\u3057\u304f\u306a\u308b\u6761\u4ef6\u304b\u3089\u3001\u30b9\u30ef\u30c3\u30d7\u30fb\u30ec\u30fc\u30c8\u3092\u5272\u5f15\u4fc2\u6570\u3084\u30b9\u30dd\u30c3\u30c8\u30fb\u30ec\u30fc\u30c8\u3067\u6c42\u3081\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">7. \u30b9\u30ef\u30c3\u30d7\u30b9\u30d7\u30ec\u30c3\u30c9<\/div>\n<div class=\"ne\">Swap Spread<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Swap\u00a0spread<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">swap<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7167em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">govt<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Swap\u00a0spread<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30b9\u30ef\u30c3\u30d7\u30b9\u30d7\u30ec\u30c3\u30c9\uff1a\u30b9\u30ef\u30c3\u30d7\u30ec\u30fc\u30c8\u3068\u56fd\u50b5\u5229\u56de\u308a\u306e\u5dee<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7167em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">swap<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u540c\u4e00\u6e80\u671f\u306e\u30b9\u30ef\u30c3\u30d7\uff08swap\uff09\u56fa\u5b9a\u30ec\u30fc\u30c8<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7167em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">govt<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u540c\u4e00\u6e80\u671f\u306e\u30aa\u30f3\u30b6\u30e9\u30f3\u56fd\u50b5\uff08govt = government\uff09\u306e\u5229\u56de\u308a<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u540c\u5e74\u9650\u306e\u30b9\u30ef\u30c3\u30d7\u30fb\u30ec\u30fc\u30c8\u3068\u56fd\u50b5\u5229\u56de\u308a\u306e\u5dee\u3092\u6c42\u3081\u308b\u5f0f\u3002\u7d4c\u6e08\u5168\u4f53\u306e\u4fe1\u7528\u30fb\u6d41\u52d5\u6027\u30ea\u30b9\u30af\u306e\u6307\u6a19\u3068\u3057\u3066\u7528\u3044\u308b\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">8. \u30ad\u30fc\u30ec\u30fc\u30c8\u30fb\u5b9f\u52b9\u30c7\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306b\u3088\u308b\u30dd\u30fc\u30c8\u30d5\u30a9\u30ea\u30aa\u53ce\u76ca\u7387<\/div>\n<div class=\"ne\">Portfolio Return via Key Rate \/ Effective Duration<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8056em;vertical-align:-0.0556em;\"><\/span><span class=\"mord\">%\u0394<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top:0em;\">(<\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">KeyRateDur<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.207em;\"><span style=\"top:-2.4559em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2441em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">KeyRateDur<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.207em;\"><span style=\"top:-2.4559em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2441em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mclose delimcenter\" style=\"top:0em;\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8056em;vertical-align:-0.0556em;\"><\/span><span class=\"mord\">%\u0394<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30dd\u30fc\u30c8\u30d5\u30a9\u30ea\u30aa\u4fa1\u5024\uff08V\uff09\u306e\u5909\u5316\u7387<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9275em;vertical-align:-0.2441em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">KeyRateDur<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2175em;\"><span style=\"top:-2.4559em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2441em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u7b2ci\u6e80\u671f\u306e\u30ad\u30fc\u30ec\u30fc\u30c8\u30fb\u30c7\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\uff08Key Rate Duration\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u7b2ci\u6e80\u671f\u306e\u5229\u56de\u308a\u306e\u5909\u5316\uff08\u5c0f\u6570\uff09<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u5404\u5e74\u9650\u306e\u5229\u56de\u308a\u5909\u5316\u3068\u30ad\u30fc\u30fb\u30ec\u30fc\u30c8\u30fb\u30c7\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u304b\u3089\u3001\u30dd\u30fc\u30c8\u30d5\u30a9\u30ea\u30aa\u4fa1\u5024\u306e\u5909\u5316\u7387\u3092\u8fd1\u4f3c\u3059\u308b\u5f0f\u3002\u30ab\u30fc\u30d6\u5f62\u72b6\u306e\u5909\u5316\u306e\u5f71\u97ff\u5206\u6790\u306b\u4f7f\u3046\u3002<\/div>\n<\/div>\n<h3 id=\"l2-fi-f-lm2\">LM2 The Arbitrage-Free Valuation Framework\uff08\u7121\u88c1\u5b9a\u8a55\u4fa1\u306e\u67a0\u7d44\u307f\uff09<\/h3>\n<div class=\"cfagl-lm\">\u3053\u306e\u5358\u5143\u306e\u8981\u70b9\u89e3\u8aac\uff1a<a href=\"https:\/\/triumphmind.com\/cfa\/2026\/09\/22\/cfa-l2-fi-lm2\/\">LM2 \u7121\u88c1\u5b9a\u8a55\u4fa1\u306e\u67a0\u7d44\u307f<\/a><\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">9. \u30b9\u30dd\u30c3\u30c8\u30ec\u30fc\u30c8\u306b\u3088\u308b\u88c1\u5b9a\u306a\u3057\u4fa1\u683c<\/div>\n<div class=\"ne\">Arbitrage-Free Value with Spot Rates<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.2963em;vertical-align:-0.936em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">CF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.2963em;vertical-align:-0.936em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7401em;\"><span style=\"top:-2.989em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">CF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6667em;vertical-align:-0.0833em;\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.2963em;vertical-align:-0.936em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7673em;\"><span style=\"top:-2.989em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">CF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u50b5\u5238\u306e\u88c1\u5b9a\u306a\u3057\u4fa1\u683c<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">CF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">CF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u5404\u671f\u306e\u30ad\u30e3\u30c3\u30b7\u30e5\u30d5\u30ed\u30fc\uff08CF = Cash Flow\u3002\u30af\u30fc\u30dd\u30f3\u3001\u6e80\u671f\u306f\uff0b\u984d\u9762\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"minner\">\u2026<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.044em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u5404\u671f\u306e\u30b9\u30dd\u30c3\u30c8\u30ec\u30fc\u30c8<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.109em;\">N<\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u6e80\u671f\u307e\u3067\u306e\u671f\u9593\u6570<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u5404\u30ad\u30e3\u30c3\u30b7\u30e5\u30d5\u30ed\u30fc\u3092\u6e80\u671f\u306e\u5bfe\u5fdc\u3059\u308b\u30b9\u30dd\u30c3\u30c8\u30fb\u30ec\u30fc\u30c8\u3067\u5272\u308a\u5f15\u304d\u3001\u30aa\u30d7\u30b7\u30e7\u30f3\u306e\u306a\u3044\u50b5\u5238\u306e\u7121\u88c1\u5b9a\u4fa1\u683c\u3092\u6c42\u3081\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">10. \u4e8c\u9805\u91d1\u5229\u30c4\u30ea\u30fc\u306e\u5f8c\u65b9\u5e30\u7d0d\u6cd5\u306b\u3088\u308b\u8a55\u4fa1<\/div>\n<div class=\"ne\">Binomial Tree Backward Induction<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">node<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.1963em;vertical-align:-0.836em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">i<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">node<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0.5<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">up<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\">0.5<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">down<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.836em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">node<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u5f53\u8a72\u30ce\u30fc\u30c9\uff08node\uff09\u306e\u50b5\u5238\u4fa1\u5024<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">up<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">down<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u6b21\u671f\u306e\u4e0a\u4f4d\uff08up\uff09\u30fb\u4e0b\u4f4d\uff08down\uff09\u30ce\u30fc\u30c9\u306e\u50b5\u5238\u4fa1\u5024<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C<\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u5f53\u8a72\u671f\u306e\u30af\u30fc\u30dd\u30f3<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8095em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">i<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">node<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u5f53\u8a72\u30ce\u30fc\u30c9\u306e1\u671f\u30d5\u30a9\u30ef\u30fc\u30c9\u30ec\u30fc\u30c8<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u5404\u30ce\u30fc\u30c9\u3067\u4e0a\u4e0b2\u3064\u306e\u5c06\u6765\u4fa1\u5024\u3068\u30af\u30fc\u30dd\u30f3\u306e\u5e73\u5747\u3092\u3001\u305d\u306e\u30ce\u30fc\u30c9\u306e\u91d1\u5229\u3067\u5272\u308a\u5f15\u3044\u3066\u4fa1\u5024\u3092\u6c42\u3081\u308b\u5f0f\u3002\u30c4\u30ea\u30fc\u306b\u3088\u308b\u50b5\u5238\u8a55\u4fa1\u306e\u57fa\u672c\u3068\u306a\u308b\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">11. \u30c4\u30ea\u30fc\u91d1\u5229\u306e\u5bfe\u6570\u6b63\u898f\u30b9\u30d7\u30ec\u30c3\u30c9<\/div>\n<div class=\"ne\">Lognormal Spacing of Tree Rates<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8095em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">i<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0813em;\">H<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8095em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">i<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">L<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8641em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8641em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">2<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0359em;\">\u03c3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8095em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">i<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0813em;\">H<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u540c\u4e00\u6642\u70b9\u306e\u4e0a\u4f4d(\u9ad8\u3044)1\u671f\u30d5\u30a9\u30ef\u30fc\u30c9\u30ec\u30fc\u30c8<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8095em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">i<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">L<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u540c\u4e00\u6642\u70b9\u306e\u4e0b\u4f4d(\u4f4e\u3044)1\u671f\u30d5\u30a9\u30ef\u30fc\u30c9\u30ec\u30fc\u30c8<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.4306em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">\u03c3<\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u91d1\u5229\u30dc\u30e9\u30c6\u30a3\u30ea\u30c6\u30a3(\u5e74\u7387)<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u4e8c\u9805\u91d1\u5229\u30c4\u30ea\u30fc\u306e\u540c\u4e00\u6642\u70b9\u3067\u3001\u96a3\u63a5\u3059\u308b\u30ce\u30fc\u30c9\u306e\u91d1\u5229\u3092\u30dc\u30e9\u30c6\u30a3\u30ea\u30c6\u30a3\u306e\u4eee\u5b9a\u304b\u3089\u95a2\u4fc2\u3065\u3051\u308b\u5f0f\u3002\u30c4\u30ea\u30fc\u306e\u30ad\u30e3\u30ea\u30d6\u30ec\u30fc\u30b7\u30e7\u30f3\u306b\u7528\u3044\u308b\u3002<\/div>\n<\/div>\n<h3 id=\"l2-fi-f-lm3\">LM3 Valuation and Analysis of Bonds with Embedded Options\uff08\u30aa\u30d7\u30b7\u30e7\u30f3\u4ed8\u304d\u50b5\u5238\u306e\u8a55\u4fa1\u3068\u5206\u6790\uff09<\/h3>\n<div class=\"cfagl-lm\">\u3053\u306e\u5358\u5143\u306e\u8981\u70b9\u89e3\u8aac\uff1a<a href=\"https:\/\/triumphmind.com\/cfa\/2026\/09\/22\/cfa-l2-fi-lm3\/\">LM3 \u30aa\u30d7\u30b7\u30e7\u30f3\u4ed8\u304d\u50b5\u5238\u306e\u8a55\u4fa1\u3068\u5206\u6790<\/a><\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">12. \u5b9f\u52b9\u30c7\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3<\/div>\n<div class=\"ne\">Effective Duration<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">EffDur<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.1963em;vertical-align:-0.836em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord text\"><span class=\"mord\">Curve<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2583em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2083em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2583em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">+<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2083em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.836em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">EffDur<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u5b9f\u52b9\u30c7\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\uff08Effective Duration\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8917em;vertical-align:-0.2083em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2583em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2083em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30ab\u30fc\u30d6\u3092\u4e0b\u65b9\u30b7\u30d5\u30c8\u3055\u305b\u305f\u3068\u304d\u306e\u4fa1\u683c\uff08PV = Present Value\u3001\u73fe\u5728\u4fa1\u5024\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8917em;vertical-align:-0.2083em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2583em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">+<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2083em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30ab\u30fc\u30d6\u3092\u4e0a\u65b9\u30b7\u30d5\u30c8\u3055\u305b\u305f\u3068\u304d\u306e\u4fa1\u683c<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u73fe\u5728\u4fa1\u683c\uff08\u30b7\u30d5\u30c8\u306a\u3057\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord text\"><span class=\"mord\">Curve<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30d9\u30f3\u30c1\u30de\u30fc\u30af\u30fb\u30ab\u30fc\u30d6\uff08Curve\uff09\u306e\u5e73\u884c\u30b7\u30d5\u30c8\u5e45\uff08\u5c0f\u6570\uff09<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u30d9\u30f3\u30c1\u30de\u30fc\u30af\u30fb\u30ab\u30fc\u30d6\u3092\u4e0a\u4e0b\u306b\u5e73\u884c\u79fb\u52d5\u3055\u305b\u305f\u8a55\u4fa1\u984d\u304b\u3089\u3001\u30aa\u30d7\u30b7\u30e7\u30f3\u4ed8\u304d\u50b5\u5238\u306e\u91d1\u5229\u611f\u5fdc\u5ea6\u3092\u6c42\u3081\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">13. \u5b9f\u52b9\u30b3\u30f3\u30d9\u30af\u30b7\u30c6\u30a3<\/div>\n<div class=\"ne\">Effective Convexity<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">EffCon<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.2963em;vertical-align:-0.936em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\">\u0394<\/span><span class=\"mord text\"><span class=\"mord\">Curve<\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.7401em;\"><span style=\"top:-2.989em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2583em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2083em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2583em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">+<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2083em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\">2<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.936em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">EffCon<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u5b9f\u52b9\u30b3\u30f3\u30d9\u30af\u30b7\u30c6\u30a3\uff08Effective Convexity\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8917em;vertical-align:-0.2083em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2583em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2083em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2583em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">+<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2083em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30ab\u30fc\u30d6\u3092\u4e0b\u65b9\u30fb\u4e0a\u65b9\u30b7\u30d5\u30c8\u3055\u305b\u305f\u3068\u304d\u306e\u4fa1\u683c\uff08PV = Present Value\u3001\u73fe\u5728\u4fa1\u5024\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">PV<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u73fe\u5728\u4fa1\u683c\uff08\u30b7\u30d5\u30c8\u306a\u3057\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord text\"><span class=\"mord\">Curve<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30d9\u30f3\u30c1\u30de\u30fc\u30af\u30fb\u30ab\u30fc\u30d6\uff08Curve\uff09\u306e\u5e73\u884c\u30b7\u30d5\u30c8\u5e45\uff08\u5c0f\u6570\uff09<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u30ab\u30fc\u30d6\u3092\u4e0a\u4e0b\u306b\u30b7\u30d5\u30c8\u3055\u305b\u305f\u8a55\u4fa1\u984d\u304b\u3089\u3001\u91d1\u5229\u5909\u5316\u306b\u5bfe\u3059\u308b\u4fa1\u683c\u306e\u66f2\u7387\u3092\u6c42\u3081\u308b\u5f0f\u3002\u30aa\u30d7\u30b7\u30e7\u30f3\u4ed8\u304d\u50b5\u5238\u306e\u975e\u7dda\u5f62\u6027\u306e\u628a\u63e1\u306b\u4f7f\u3046\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">14. \u30ad\u30e3\u30c3\u30d7\u4ed8\u304d\u30fb\u30d5\u30ed\u30a2\u4ed8\u304d\u5909\u52d5\u50b5\u306e\u4fa1\u5024<\/div>\n<div class=\"ne\">Value of Capped \/ Floored Floater<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">capped<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">straight<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">cap<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">floored<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">straight<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">floor<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">capped<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">floored<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30ad\u30e3\u30c3\u30d7\u4ed8\u304d\uff08capped\uff09\u30fb\u30d5\u30ed\u30a2\u4ed8\u304d\uff08floored\uff09\u5909\u52d5\u5229\u4ed8\u50b5\u306e\u4fa1\u5024<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">straight<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30aa\u30d7\u30b7\u30e7\u30f3\u306a\u3057\uff08straight\uff09\u5909\u52d5\u5229\u4ed8\u50b5\u306e\u4fa1\u5024\uff08\u901a\u5e38\u306f\u984d\u9762100\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">cap<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u57cb\u8fbc\u30ad\u30e3\u30c3\u30d7\uff08cap\uff09\u306e\u4fa1\u5024\uff08\u6295\u8cc7\u5bb6\u304c\u30b7\u30e7\u30fc\u30c8\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.2222em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">floor<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u57cb\u8fbc\u30d5\u30ed\u30a2\uff08floor\uff09\u306e\u4fa1\u5024\uff08\u6295\u8cc7\u5bb6\u304c\u30ed\u30f3\u30b0\uff09<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u30ad\u30e3\u30c3\u30d7\u4ed8\u304d\u30fb\u30d5\u30ed\u30a2\u4ed8\u304d\u5909\u52d5\u5229\u4ed8\u50b5\u306e\u4fa1\u5024\u3092\u3001\u30b9\u30c8\u30ec\u30fc\u30c8\u5909\u52d5\u5229\u4ed8\u50b5\u306b\u30ad\u30e3\u30c3\u30d7\u307e\u305f\u306f\u30d5\u30ed\u30a2\u306e\u4fa1\u5024\u3092\u52a0\u6e1b\u3057\u3066\u6c42\u3081\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">15. \u8ee2\u63db\u4fa1\u5024(\u30d1\u30ea\u30c6\u30a3\u4fa1\u5024)<\/div>\n<div class=\"ne\">Conversion Value (Parity Value)<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Conversion\u00a0value<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">share<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Conversion\u00a0ratio<\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Conversion\u00a0value<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u8ee2\u63db\u4fa1\u5024\uff08\u30d1\u30ea\u30c6\u30a3\u4fa1\u5024\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">share<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u539f\u682a\uff08share\uff09\u306e\u5e02\u5834\u4fa1\u683c<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Conversion\u00a0ratio<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u8ee2\u63db\u6bd4\u7387\uff1a\u793e\u50b51\u672c\u3042\u305f\u308a\u8ee2\u63db\u3055\u308c\u308b\u682a\u6570<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u8ee2\u63db\u793e\u50b5\u3092\u76f4\u3061\u306b\u682a\u5f0f\u306b\u8ee2\u63db\u3057\u305f\u5834\u5408\u306e\u4fa1\u5024\u3092\u3001\u682a\u4fa1 \u00d7 \u8ee2\u63db\u6bd4\u7387\u3067\u6c42\u3081\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">16. \u8ee2\u63db\u793e\u50b5\u306e\u6700\u4f4e\u4fa1\u5024(\u30d5\u30ed\u30a2)<\/div>\n<div class=\"ne\">Minimum (Floor) Value of a Convertible Bond<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Minimum\u00a0value<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"><\/span><span class=\"mop\">max<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"delimsizing size1\">(<\/span><\/span><span class=\"mord text\"><span class=\"mord\">Conversion\u00a0value<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Straight\u00a0value<\/span><\/span><span class=\"mord\"><span class=\"delimsizing size1\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Minimum\u00a0value<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u8ee2\u63db\u793e\u50b5\u306e\u6700\u4f4e\u4fa1\u5024\uff08\u4fa1\u5024\u306e\u4e0b\u9650\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Conversion\u00a0value<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u8ee2\u63db\u4fa1\u5024\uff08=\u682a\u4fa1\u00d7\u8ee2\u63db\u6bd4\u7387\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Straight\u00a0value<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u540c\u6761\u4ef6\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u306a\u3057\u50b5\u5238\u3068\u3057\u3066\u306e\u4fa1\u5024\uff08\u30b9\u30c8\u30ec\u30fc\u30c8\u4fa1\u5024\u3002\u88c1\u5b9a\u306a\u3057\u67a0\u7d44\u3067\u7b97\u5b9a\uff09<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u8ee2\u63db\u793e\u50b5\u306e\u4fa1\u5024\u306e\u4e0b\u9650\u3092\u3001\u8ee2\u63db\u4fa1\u5024\u3068\u30b9\u30c8\u30ec\u30fc\u30c8\u4fa1\u5024\u306e\u3046\u3061\u5927\u304d\u3044\u65b9\u3068\u3057\u3066\u6c42\u3081\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">17. \u5e02\u5834\u8ee2\u63db\u4fa1\u683c\u30fb\u8ee2\u63db\u30d7\u30ec\u30df\u30a2\u30e0\u7387<\/div>\n<div class=\"ne\">Market Conversion Price &amp; Premium Ratio<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">mc<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.0463em;vertical-align:-0.686em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Conv.\u00a0ratio<\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">CB<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.686em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Prem\/share<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">mc<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">share<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Prem\u00a0ratio<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:2.1963em;vertical-align:-0.836em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:1.3603em;\"><span style=\"top:-2.314em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">share<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top:-3.23em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width:0.04em;\"><\/span><\/span><span style=\"top:-3.677em;\"><span class=\"pstrut\" style=\"height:3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">mc<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">share<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.836em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1514em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">mc<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u5e02\u5834\u8ee2\u63db\u4fa1\u683c\uff08mc = market conversion\u3002\u5b9f\u8cea\u7684\u306a\u682a\u306e\u53d6\u5f97\u30b3\u30b9\u30c8\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">CB<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u8ee2\u63db\u793e\u50b5\uff08CB = Convertible Bond\uff09\u306e\u5e02\u5834\u4fa1\u683c<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Conv.\u00a0ratio<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u8ee2\u63db\u6bd4\u7387\uff08Conversion ratio\uff09\uff1a\u793e\u50b51\u672c\u3042\u305f\u308a\u8ee2\u63db\u3055\u308c\u308b\u682a\u6570<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Prem\/share<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">1\u682a\u3042\u305f\u308a\u5e02\u5834\u8ee2\u63db\u30d7\u30ec\u30df\u30a2\u30e0\uff08Premium per share\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">share<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u73fe\u5728\u306e\u539f\u682a\uff08share\uff09\u4fa1\u683c<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Prem\u00a0ratio<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u5e02\u5834\u8ee2\u63db\u30d7\u30ec\u30df\u30a2\u30e0\u7387\uff08Premium ratio\uff09<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u8ee2\u63db\u793e\u50b5\u3092\u901a\u3058\u3066\u682a\u5f0f\u3092\u53d6\u5f97\u3059\u308b\u5834\u5408\u306e\u5b9f\u8cea\u7684\u306a\u682a\u4fa1\u3068\u3001\u73fe\u5728\u306e\u682a\u4fa1\u306b\u5bfe\u3059\u308b\u4e0a\u4e57\u305b\u5206\u304a\u3088\u3073\u305d\u306e\u6bd4\u7387\u3092\u6c42\u3081\u308b\u5f0f\u3002<\/div>\n<\/div>\n<h3 id=\"l2-fi-f-lm4\">LM4 Credit Analysis Models\uff08\u4fe1\u7528\u5206\u6790\u30e2\u30c7\u30eb\uff09<\/h3>\n<div class=\"cfagl-lm\">\u3053\u306e\u5358\u5143\u306e\u8981\u70b9\u89e3\u8aac\uff1a<a href=\"https:\/\/triumphmind.com\/cfa\/2026\/09\/22\/cfa-l2-fi-lm4\/\">LM4 \u4fe1\u7528\u5206\u6790\u30e2\u30c7\u30eb<\/a><\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">18. \u671f\u5f85\u640d\u5931\u30fb\u30c7\u30d5\u30a9\u30eb\u30c8\u6642\u640d\u5931\u30fb\u30c7\u30d5\u30a9\u30eb\u30c8\u78ba\u7387<\/div>\n<div class=\"ne\">Expected Loss, LGD and POD<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">LGD<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Exposure<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord text\"><span class=\"mord\">RR<\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Expected\u00a0loss<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7667em;vertical-align:-0.0833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">LGD<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">POD<\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">LGD<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30c7\u30d5\u30a9\u30eb\u30c8\u6642\u640d\u5931\uff08LGD = Loss Given Default\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Exposure<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30c7\u30d5\u30a9\u30eb\u30c8\u6642\u306e\u30a8\u30af\u30b9\u30dd\u30fc\u30b8\u30e3\u30fc\uff08\u56de\u53ce\u524d\u306e\u640d\u5931\u53ef\u80fd\u984d\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">RR<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u56de\u53ce\u7387\uff08RR = Recovery Rate\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Expected\u00a0loss<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u671f\u5f85\u640d\u5931<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">POD<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30c7\u30d5\u30a9\u30eb\u30c8\u78ba\u7387\uff08POD = Probability of Default\u3002\u591a\u671f\u9593\u3067\u306f\u5404\u671f\u306e\u7121\u6761\u4ef6\u30c7\u30d5\u30a9\u30eb\u30c8\u78ba\u7387\u3092\u7528\u3044\u308b\uff09<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u30a8\u30af\u30b9\u30dd\u30fc\u30b8\u30e3\u30fc\u3001\u56de\u53ce\u7387\u3001\u30c7\u30d5\u30a9\u30eb\u30c8\u78ba\u7387\u304b\u3089\u3001\u30c7\u30d5\u30a9\u30eb\u30c8\u6642\u640d\u5931\u3068\u5404\u671f\u306e\u671f\u5f85\u640d\u5931\u3092\u6c42\u3081\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">19. \u4fe1\u7528\u8a55\u4fa1\u8abf\u6574(CVA)\u3068\u516c\u6b63\u4fa1\u5024<\/div>\n<div class=\"ne\">Credit Valuation Adjustment &amp; Fair Value<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">CVA<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">LGD<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">POD<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">LGD<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">POD<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u6e80\u671f\u307e\u3067\u5404\u671f\u3092\u8db3\u3059<\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Fair\u00a0value<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7667em;vertical-align:-0.0833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">VND<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">CVA<\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">CVA<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u4fe1\u7528\u8a55\u4fa1\u8abf\u6574\uff08CVA = Credit Valuation Adjustment\uff09\uff1a\u5404\u671f\u306e\u671f\u5f85\u640d\u5931\u306e\u73fe\u5728\u4fa1\u5024\u306e\u5408\u8a08<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">LGD<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">t\u671f\u306e\u30c7\u30d5\u30a9\u30eb\u30c8\u6642\u640d\u5931\uff08LGD = Loss Given Default\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">POD<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">t\u671f\u306e\uff08\u7121\u6761\u4ef6\uff09\u30c7\u30d5\u30a9\u30eb\u30c8\u78ba\u7387\uff08POD = Probability of Default\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">DF<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">t\u671f\u306e\u7121\u30ea\u30b9\u30af\u5272\u5f15\u4fc2\u6570\uff08DF = Discount Factor\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Fair\u00a0value<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u4fe1\u7528\u30ea\u30b9\u30af\u3092\u53cd\u6620\u3057\u305f\u50b5\u5238\u306e\u516c\u6b63\u4fa1\u5024<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">VND<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u7121\u30c7\u30d5\u30a9\u30eb\u30c8\u524d\u63d0\u306e\u50b5\u5238\u4fa1\u5024\uff08VND = Value assuming No Default\uff09<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u5404\u671f\u306e\u671f\u5f85\u640d\u5931\u306e\u73fe\u5728\u4fa1\u5024\u3092\u5408\u8a08\u3057\u3066CVA\u3092\u6c42\u3081\u3001\u30ea\u30b9\u30af\u306e\u306a\u3044\u50b5\u5238\u306e\u4fa1\u5024\u304b\u3089\u5dee\u3057\u5f15\u3044\u3066\u516c\u6b63\u4fa1\u5024\u3092\u5f97\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">20. \u30cf\u30b6\u30fc\u30c9\u30ec\u30fc\u30c8\u304b\u3089\u306e\u751f\u5b58\u78ba\u7387<\/div>\n<div class=\"ne\">Probability of Survival from Hazard Rate<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">POS<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.1413em;vertical-align:-0.25em;\"><\/span><span class=\"mord text\"><span class=\"mord\">hazard<\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.8913em;\"><span style=\"top:-3.113em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">POD<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7778em;vertical-align:-0.0833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">hazard<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8917em;vertical-align:-0.2083em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">POS<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2083em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">POS<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3283em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">T\u671f\u307e\u3067\u751f\u5b58\u3059\u308b\u78ba\u7387\uff08POS = Probability of Survival\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">hazard<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">1\u671f\u3042\u305f\u308a\u306e\u6761\u4ef6\u4ed8\u304d\u30c7\u30d5\u30a9\u30eb\u30c8\u7387\uff08\u30cf\u30b6\u30fc\u30c9\u30ec\u30fc\u30c8\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">POD<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2806em;\"><span style=\"top:-2.55em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">t\u671f\u306e\uff08\u7121\u6761\u4ef6\uff09\u30c7\u30d5\u30a9\u30eb\u30c8\u78ba\u7387\uff08POD = Probability of Default\uff09<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u4e00\u5b9a\u306e\u30cf\u30b6\u30fc\u30c9\u7387\u304b\u3089\u8907\u6570\u671f\u9593\u306e\u751f\u5b58\u78ba\u7387\u3068\u3001\u5404\u671f\u306e\u7121\u6761\u4ef6\u306e\u30c7\u30d5\u30a9\u30eb\u30c8\u78ba\u7387\u3092\u6c42\u3081\u308b\u5f0f\u3002\u4fe1\u7528\u8a55\u4fa1\u8abf\u6574\uff08CVA\uff09\u306e\u8a08\u7b97\u306b\u7528\u3044\u308b\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">21. \u4fe1\u7528\u30b9\u30d7\u30ec\u30c3\u30c9\u306e\u8fd1\u4f3c<\/div>\n<div class=\"ne\">Credit Spread Approximation<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Credit\u00a0spread<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7667em;vertical-align:-0.0833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">POD<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord text\"><span class=\"mord\">RR<\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mrel\">=<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">risky<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">riskfree<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Credit\u00a0spread<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u4fe1\u7528\u30b9\u30d7\u30ec\u30c3\u30c9<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">POD<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u5e74\u9593\u30c7\u30d5\u30a9\u30eb\u30c8\u78ba\u7387\uff08POD = Probability of Default\u3002\u30cf\u30b6\u30fc\u30c9\u30ec\u30fc\u30c8\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">RR<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u56de\u53ce\u7387\uff08RR = Recovery Rate\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7167em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">risky<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">riskfree<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30ea\u30b9\u30af\u306e\u3042\u308b\u50b5\u5238\u30fb\u7121\u30ea\u30b9\u30af\u50b5\u306e\u6700\u7d42\u5229\u56de\u308a\uff08YTM = Yield to Maturity\uff09<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u30c7\u30d5\u30a9\u30eb\u30c8\u78ba\u7387\u3068\u56de\u53ce\u7387\u304b\u3089\u4fe1\u7528\u30b9\u30d7\u30ec\u30c3\u30c9\u3092\u8fd1\u4f3c\u3059\u308b\u5f0f\u3002\u30ea\u30b9\u30af\u306e\u3042\u308b\u50b5\u5238\u3068\u7121\u30ea\u30b9\u30af\u50b5\u306e\u5229\u56de\u308a\u5dee\u3068\u3057\u3066\u3082\u5b9a\u7fa9\u3055\u308c\u308b\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">22. \u4fe1\u7528\u683c\u4ed8\u79fb\u884c\u306b\u3088\u308b\u671f\u5f85\u53ce\u76ca\u3078\u306e\u5f71\u97ff<\/div>\n<div class=\"ne\">Expected Return Impact of Credit Migration<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E<\/span><span class=\"mopen\">[<\/span><span class=\"mord\">%\u0394<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"mclose\">]<span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mop\">Pr<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"><\/span><span class=\"mord\"><span class=\"delimsizing size1\">(<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7778em;vertical-align:-0.0833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">ModDur<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"delimsizing size1\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mop\">Pr<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">2<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"><\/span><span class=\"mord\"><span class=\"delimsizing size1\">(<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7778em;vertical-align:-0.0833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">ModDur<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3011em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"delimsizing size1\">)<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right:0.1667em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u79fb\u884c\u5148\u306e\u683c\u4ed8\u3054\u3068\u306b\u8db3\u3059<\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right:0.0576em;\">E<\/span><span class=\"mopen\">[<\/span><span class=\"mord\">%\u0394<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><span class=\"d\">\u683c\u4ed8\u79fb\u884c\u306b\u3088\u308b\u50b5\u5238\u4fa1\u683c\uff08P\uff09\u306e\u671f\u5f85\u5909\u5316\u7387\uff08E[\u00b7]\u306f\u671f\u5f85\u5024\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mop\">Pr<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right:0.0572em;\">j<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u683c\u4ed8j\u3078\u79fb\u884c\u3059\u308b\u78ba\u7387\uff08\u9077\u79fb\u884c\u5217\u306e\u8a72\u5f53\u884c\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">ModDur<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u4fee\u6b63\u30c7\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\uff08Modified Duration\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3117em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right:0.0572em;\">j<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u683c\u4ed8j\u3078\u306e\u79fb\u884c\u306b\u4f34\u3046\u30b9\u30d7\u30ec\u30c3\u30c9\u5909\u5316<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u683c\u4ed8\u3051\u63a8\u79fb\u78ba\u7387\u3068\u5404\u683c\u4ed8\u3051\u306e\u30b9\u30d7\u30ec\u30c3\u30c9\u5909\u5316\u304b\u3089\u3001\u683c\u4ed8\u3051\u5909\u5316\u306b\u3088\u308b\u671f\u5f85\u4fa1\u683c\u5909\u5316\u7387\u3092\u6c42\u3081\u308b\u5f0f\u3002<\/div>\n<\/div>\n<h3 id=\"l2-fi-f-lm5\">LM5 Credit Default Swaps\uff08\u30af\u30ec\u30b8\u30c3\u30c8\u30fb\u30c7\u30d5\u30a9\u30eb\u30c8\u30fb\u30b9\u30ef\u30c3\u30d7\uff09<\/h3>\n<div class=\"cfagl-lm\">\u3053\u306e\u5358\u5143\u306e\u8981\u70b9\u89e3\u8aac\uff1a<a href=\"https:\/\/triumphmind.com\/cfa\/2026\/09\/22\/cfa-l2-fi-lm5\/\">LM5 \u30af\u30ec\u30b8\u30c3\u30c8\u30fb\u30c7\u30d5\u30a9\u30eb\u30c8\u30fb\u30b9\u30ef\u30c3\u30d7<\/a><\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">23. CDS\u30a2\u30c3\u30d7\u30d5\u30ed\u30f3\u30c8\u30fb\u30d7\u30ec\u30df\u30a2\u30e0<\/div>\n<div class=\"ne\">CDS Upfront Premium<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Upfront\u00a0premium<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord text\"><span class=\"mord\">Credit\u00a0spread<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Fixed\u00a0coupon<\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Duration<\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Upfront\u00a0premium<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">CDS\uff08Credit Default Swap\uff09\u5951\u7d04\u6642\u306b\u6388\u53d7\u3059\u308b\u30a2\u30c3\u30d7\u30d5\u30ed\u30f3\u30c8\u30fb\u30d7\u30ec\u30df\u30a2\u30e0\uff08\u540d\u76ee\u6bd4\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Credit\u00a0spread<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u53c2\u7167\u4f01\u696d\u306e\u4fe1\u7528\u30b9\u30d7\u30ec\u30c3\u30c9\uff08CDS\u30b9\u30d7\u30ec\u30c3\u30c9\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Fixed\u00a0coupon<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">CDS\u306e\u6a19\u6e96\u30af\u30fc\u30dd\u30f3\uff08\u6295\u8cc7\u9069\u683c\uff08IG\uff09\u306f1%\u3001\u30cf\u30a4\u30a4\u30fc\u30eb\u30c9\uff08HY\uff09\u306f5%\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Duration<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">CDS\u306e\u5b9f\u52b9\u30c7\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>CDS\u30b9\u30d7\u30ec\u30c3\u30c9\u3068\u6a19\u6e96\u30af\u30fc\u30dd\u30f3\u306e\u5dee\u306b\u30c7\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u639b\u3051\u3001\u5951\u7d04\u958b\u59cb\u6642\u306e\u30a2\u30c3\u30d7\u30d5\u30ed\u30f3\u30c8\u30fb\u30d7\u30ec\u30df\u30a2\u30e0\u3092\u8fd1\u4f3c\u3059\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">24. \u30a2\u30c3\u30d7\u30d5\u30ed\u30f3\u30c8\u304b\u3089\u306eCDS\u4fa1\u683c<\/div>\n<div class=\"ne\">CDS Price from Upfront Premium<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Price\u00a0of\u00a0CDS<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7278em;vertical-align:-0.0833em;\"><\/span><span class=\"mord\">100<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9444em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Upfront\u00a0premium\u00a0%<\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Price\u00a0of\u00a0CDS<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u540d\u76ee100\u3042\u305f\u308a\u306eCDS\uff08Credit Default Swap\uff09\u4fa1\u683c<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9444em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Upfront\u00a0premium\u00a0%<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u540d\u76ee\u306b\u5bfe\u3059\u308b\u30a2\u30c3\u30d7\u30d5\u30ed\u30f3\u30c8\u30fb\u30d7\u30ec\u30df\u30a2\u30e0\u7387\uff08\u2248\uff08\u30b9\u30d7\u30ec\u30c3\u30c9\u2212\u30af\u30fc\u30dd\u30f3\uff09\u00d7\u30c7\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\uff09<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u30a2\u30c3\u30d7\u30d5\u30ed\u30f3\u30c8\u30fb\u30d7\u30ec\u30df\u30a2\u30e0\uff08%\uff09\u3092100\u304b\u3089\u5dee\u3057\u5f15\u304d\u3001\u984d\u9762100\u5f53\u305f\u308a\u306eCDS\u4fa1\u683c\u3092\u6c42\u3081\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">25. \u30b9\u30d7\u30ec\u30c3\u30c9\u5909\u5316\u306b\u3088\u308bCDS\u640d\u76ca<\/div>\n<div class=\"ne\">CDS Profit from Spread Change<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8056em;vertical-align:-0.0556em;\"><\/span><span class=\"mord\">%\u0394<\/span><span class=\"mord text\"><span class=\"mord\">Price<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">bps<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Duration<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.1858em;vertical-align:-0.4358em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">P\/L<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1864em;\"><span style=\"top:-2.4003em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">buyer<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.4358em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">bps<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7667em;vertical-align:-0.0833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Duration<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Notional<\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8056em;vertical-align:-0.0556em;\"><\/span><span class=\"mord\">%\u0394<\/span><span class=\"mord text\"><span class=\"mord\">Price<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">CDS\uff08Credit Default Swap\uff09\u4fa1\u683c\u306e\u5909\u5316\u7387<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.9694em;vertical-align:-0.2861em;\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.3361em;\"><span style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">bps<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.2861em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u4fe1\u7528\u30b9\u30d7\u30ec\u30c3\u30c9\u306e\u5909\u5316\uff08bps = basis points\u3001\u30d9\u30fc\u30b7\u30b9\u30dd\u30a4\u30f3\u30c8\u3002%\u8868\u8a18\u3067\u7528\u3044\u308b\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Duration<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">CDS\u306e\u30c7\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:1.1858em;vertical-align:-0.4358em;\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">P\/L<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.1864em;\"><span style=\"top:-2.4003em;margin-right:0.05em;\"><span class=\"pstrut\" style=\"height:2.7em;\"><\/span><span class=\"katex-sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">buyer<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height:0.4358em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30d7\u30ed\u30c6\u30af\u30b7\u30e7\u30f3\u306e\u8cb7\u3044\u624b\uff08buyer\uff09\u306e\u640d\u76ca\uff08P\/L = Profit and Loss\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Notional<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u5951\u7d04\u306e\u60f3\u5b9a\u5143\u672c<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u5951\u7d04\u5f8c\u306e\u30b9\u30d7\u30ec\u30c3\u30c9\u5909\u5316\u306b\u30c7\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3068\u60f3\u5b9a\u5143\u672c\u3092\u639b\u3051\u3001CDS\u30dd\u30b8\u30b7\u30e7\u30f3\u306e\u640d\u76ca\u3092\u8fd1\u4f3c\u3059\u308b\u5f0f\u3002<\/div>\n<\/div>\n<div class=\"cfafm-c\">\n<div class=\"nm\">26. CDS\u6c7a\u6e08\u6642\u306e\u30da\u30a4\u30a2\u30a6\u30c8\u984d<\/div>\n<div class=\"ne\">CDS Payout Amount at Settlement<\/div>\n<div class=\"cfafm-x\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">LGD<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7278em;vertical-align:-0.0833em;\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">RR<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Payout<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right:0.2778em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.7667em;vertical-align:-0.0833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">LGD<\/span><\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right:0.2222em;\"><\/span><\/span><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Notional<\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"cfafm-lg\">\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">LGD<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30c7\u30d5\u30a9\u30eb\u30c8\u6642\u640d\u5931\u7387\uff08LGD = Loss Given Default\u3002=1\u2212\u56de\u53ce\u7387\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6833em;\"><\/span><span class=\"mord text\"><span class=\"mord\">RR<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u56de\u53ce\u7387\uff08RR = Recovery Rate\u3002\u30aa\u30fc\u30af\u30b7\u30e7\u30f3\u3067\u6c7a\u5b9a\u3001\u6700\u5272\u5b89\u53d7\u6e21\u50b5\u30d9\u30fc\u30b9\uff09<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Payout<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">\u30d7\u30ed\u30c6\u30af\u30b7\u30e7\u30f3\u306e\u58f2\u308a\u624b\u304c\u652f\u6255\u3046\u6c7a\u6e08\u984d<\/span><\/div>\n<div><span class=\"s\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"katex-base\"><span class=\"katex-strut\" style=\"height:0.6944em;\"><\/span><span class=\"mord text\"><span class=\"mord\">Notional<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"d\">CDS\uff08Credit Default Swap\uff09\u306e\u60f3\u5b9a\u5143\u672c<\/span><\/div>\n<\/div>\n<div class=\"cfafm-u\"><b>\u4f7f\u3044\u3069\u3053\u308d\uff1a<\/b>\u30af\u30ec\u30b8\u30c3\u30c8\u30fb\u30a4\u30d9\u30f3\u30c8\u767a\u751f\u6642\u306b\u3001\u56de\u53ce\u7387\u304b\u3089\u640d\u5931\u7387\u3092\u6c42\u3081\u3001\u60f3\u5b9a\u5143\u672c\u3092\u639b\u3051\u3066\u30d7\u30ed\u30c6\u30af\u30b7\u30e7\u30f3\u306e\u58f2\u308a\u624b\u306e\u652f\u6255\u984d\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u3002<\/div>\n<\/div>\n<h2>\u3042\u308f\u305b\u3066\u4f7f\u3044\u305f\u3044\u30da\u30fc\u30b8<\/h2>\n<ul>\n<li><a href=\"https:\/\/triumphmind.com\/cfa\/2026\/09\/24\/cfa-l2-fi-glossary\/\">CFA\u00ae\ufe0e Level 2 Fixed Income \u7528\u8a9e\u96c6\uff08\u82f1\u8a9e\u30fb\u65e5\u672c\u8a9e\u8a33\u30fb\u610f\u5473\uff09<\/a><\/li>\n<li><a href=\"https:\/\/triumphmind.com\/cfa\/cfa-level2-formulas\/\">CFA\u00ae\ufe0e Level 2 \u516c\u5f0f\u96c6\uff08\u5168\u79d1\u76ee\u306e\u4e00\u89a7\uff09<\/a><\/li>\n<li><a href=\"https:\/\/triumphmind.com\/cfa\/cfa-curriculum\/#l2-fi\">CFA\u00ae\ufe0e \u5b66\u7fd2\u5185\u5bb9\u306e\u76ee\u6b21\uff08Level 2 Fixed Income\uff09<\/a><\/li>\n<\/ul>\n<h2>\u52b9\u7387\u3088\u304f\u5b66\u3076\u306b\u306f FA-Academy<\/h2>\n<p>CFA\u00ae\ufe0e\u306e\u5354\u4f1a\u30c6\u30ad\u30b9\u30c8\u306f\u82f1\u8a9e\u3067\u5206\u91cf\u3082\u591a\u304f\u3001\u7528\u8a9e\u3084\u516c\u5f0f\u3092\u82f1\u8a9e\u3060\u3051\u3067\u7406\u89e3\u3057\u3066\u3044\u304f\u306e\u306f\u5927\u304d\u306a\u8ca0\u62c5\u3067\u3059\u3002<\/p>\n<p>FA-Academy\uff08Financial Analyst Academy\uff09\u306f\u3001<strong>\u65e5\u672c\u8a9e\u3067\u5b66\u3079\u308b\u6570\u5c11\u306a\u3044CFA\u00ae\ufe0e\u8a66\u9a13\u30b5\u30dd\u30fc\u30c8<\/strong>\u3067\u3059\u3002\u3053\u308c\u307e\u3067 Level 1 \u304b\u3089 Level 3 \u307e\u3067\u591a\u304f\u306e\u5408\u683c\u8005\u3092\u8f29\u51fa\u3057\u3066\u304a\u308a\u3001\u5408\u683c\u8005\u306e\u65b9\u3005\u3068\u306e\u5bfe\u8ac7\u3082\u6570\u591a\u304f\u516c\u958b\u3057\u3066\u3044\u307e\u3059\u3002\u3069\u3093\u306a\u65b9\u304c\u3001\u3069\u306e\u3088\u3046\u306b\u5408\u683c\u3055\u308c\u305f\u306e\u304b\u306f<a href=\"https:\/\/triumphmind.com\/cfa\/category\/gokaku\/\" target=\"_blank\" rel=\"noopener\">\u5408\u683c\u8005\u5bfe\u8ac7\u30fb\u5408\u683c\u4f53\u9a13\u8ac7\u306e\u4e00\u89a7<\/a>\u304b\u3089\u3054\u89a7\u3044\u305f\u3060\u3051\u307e\u3059\u3002<\/p>\n<ul>\n<li><a href=\"https:\/\/triumphmind.com\/cfa\/present1\/\" target=\"_blank\" rel=\"noopener\">Level 1 \u65e5\u672c\u8a9e\u8981\u70b9\u96c6\u306e\u7121\u6599\u30b5\u30f3\u30d7\u30eb\u3092\u53d7\u3051\u53d6\u308b\uff087\u65e5\u9593\u30e1\u30fc\u30eb\u8b1b\u5ea7\uff09<\/a><\/li>\n<li><a href=\"https:\/\/timerex.net\/s\/cfa.tips.slack_2a23\/e72e883e\/\" target=\"_blank\" rel=\"noopener\">\u7121\u6599\u500b\u5225\u9762\u8ac7\u3092\u4e88\u7d04\u3059\u308b\uff08\u5b66\u7fd2\u8a08\u753b\u306e\u3054\u76f8\u8ac7\uff09<\/a><\/li>\n<li><a href=\"https:\/\/triumphmind.com\/cfa\/course\/\" target=\"_blank\" rel=\"noopener\">\u53d7\u8b1b\u6848\u5185\uff08\u30b3\u30fc\u30b9\u4e00\u89a7\u30fb\u53d7\u8b1b\u6599\uff09\u3092\u898b\u308b<\/a><\/li>\n<li><a href=\"https:\/\/triumphmind.com\/cfa\/side_by_side\/\" target=\"_blank\" rel=\"noopener\">Level 2 Leveraged Support Course\uff08\u7528\u8a9e\u96c6\u30fb\u516c\u5f0f\u96c6\u306e\u6574\u7406\u8cc7\u6599\u3064\u304d\uff09\u3092\u898b\u308b<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>CFA\u00ae\ufe0e Level 2 Fixed Income\uff08\u50b5\u5238\uff09\u306e\u91cd\u8981\u516c\u5f0f26\u672c\u3092\u3001\u6700\u65b0\u7248\u30ab\u30ea\u30ad\u30e5\u30e9\u30e0\u306e\u5358\u5143\uff08LM\uff09\u5225\u306b\u3001\u6570\u5f0f\u30fb\u8a18\u53f7\u306e\u610f\u5473\u30fb\u4f7f\u3044\u3069\u3053\u308d\u3068\u3042\u308f\u305b\u3066\u6574\u7406\u3057\u305f\u516c\u5f0f\u96c6\u3067\u3059\u3002<\/p>\n","protected":false},"author":1,"featured_media":11589,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jin_ogp_image_url":"","_jin_last_featured_id":0,"footnotes":""},"categories":[102],"tags":[],"class_list":["post-11436","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-formulas"],"_links":{"self":[{"href":"https:\/\/triumphmind.com\/cfa\/wp-json\/wp\/v2\/posts\/11436","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/triumphmind.com\/cfa\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/triumphmind.com\/cfa\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/triumphmind.com\/cfa\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/triumphmind.com\/cfa\/wp-json\/wp\/v2\/comments?post=11436"}],"version-history":[{"count":5,"href":"https:\/\/triumphmind.com\/cfa\/wp-json\/wp\/v2\/posts\/11436\/revisions"}],"predecessor-version":[{"id":11934,"href":"https:\/\/triumphmind.com\/cfa\/wp-json\/wp\/v2\/posts\/11436\/revisions\/11934"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/triumphmind.com\/cfa\/wp-json\/wp\/v2\/media\/11589"}],"wp:attachment":[{"href":"https:\/\/triumphmind.com\/cfa\/wp-json\/wp\/v2\/media?parent=11436"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/triumphmind.com\/cfa\/wp-json\/wp\/v2\/categories?post=11436"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/triumphmind.com\/cfa\/wp-json\/wp\/v2\/tags?post=11436"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}