{"id":17637,"date":"2021-07-13T07:57:35","date_gmt":"2021-07-13T07:57:35","guid":{"rendered":"https:\/\/analystprep.com\/study-notes\/?p=17637"},"modified":"2026-03-26T16:52:55","modified_gmt":"2026-03-26T16:52:55","slug":"calculate-and-interpret-the-components-of-a-convertible-bonds-value","status":"publish","type":"post","link":"https:\/\/analystprep.com\/study-notes\/cfa-level-2\/calculate-and-interpret-the-components-of-a-convertible-bonds-value\/","title":{"rendered":"Conversion Value"},"content":{"rendered":"<script type=\"application\/ld+json\">\r\n{\r\n  \"@context\": \"https:\/\/schema.org\",\r\n  \"@type\": \"VideoObject\",\r\n  \"name\": \"Valuation and Analysis of Bonds with Embedded Options (2025 Level II CFA\u00ae Exam \u2013 Fixed Income \u2013 Learning Module 3)\",\r\n  \"description\": \"CFA Level II Fixed Income lesson on Bonds with Embedded Options covering callable and putable bonds, arbitrage-free valuation using interest rate trees, option-adjusted spreads (OAS), effective duration and convexity, key rate durations, interest rate volatility effects, capped and floored floating-rate bonds, and valuation of convertible bonds.\",\r\n  \"thumbnailUrl\": \"https:\/\/img.youtube.com\/vi\/5zZuTYmjxW8\/maxresdefault.jpg\",\r\n  \"uploadDate\": \"2021-09-09\",\r\n  \"duration\": \"PT1H8M58S\",\r\n  \"contentUrl\": \"https:\/\/www.youtube.com\/watch?v=5zZuTYmjxW8\",\r\n  \"embedUrl\": \"https:\/\/www.youtube.com\/embed\/5zZuTYmjxW8\"\r\n}\r\n<\/script>\r\n<script type=\"application\/ld+json\">\r\n{\r\n  \"@context\": \"https:\/\/schema.org\",\r\n  \"@type\": \"QAPage\",\r\n  \"mainEntity\": {\r\n    \"@type\": \"Question\",\r\n    \"name\": \"What is the market conversion premium per share for the convertible bond?\",\r\n    \"text\": \"Consider a convertible bond that pays 10% annual coupons issued on 01\/01\/2018 and maturing on 31\/12\/2020. The bond has a conversion ratio of 25, a market price of $1,000, and the common stock is trading at $30 per share. What is the market conversion premium per share?\",\r\n    \"answerCount\": 1,\r\n    \"acceptedAnswer\": {\r\n      \"@type\": \"Answer\",\r\n      \"text\": \"The market conversion premium per share is $10.\",\r\n      \"dateCreated\": \"2026-01-22\",\r\n      \"upvoteCount\": 0,\r\n      \"url\": \"https:\/\/analystprep.com\/study-notes\/cfa-level-2\/calculate-and-interpret-the-components-of-a-convertible-bonds-value\/\",\r\n      \"author\": {\r\n        \"@type\": \"Organization\",\r\n        \"name\": \"AnalystPrep\"\r\n      }\r\n    },\r\n    \"suggestedAnswer\": [\r\n      {\r\n        \"@type\": \"Answer\",\r\n        \"text\": \"First calculate the market conversion price by dividing the convertible bond price by the conversion ratio: $1,000 \u00f7 25 = $40. Then subtract the current share price: $40 \u2212 $30 = $10.\"\r\n      }\r\n    ]\r\n  }\r\n}\r\n<\/script>\r\n\r\n\r\n<p><iframe loading=\"lazy\" src=\"\/\/www.youtube.com\/embed\/5zZuTYmjxW8\" width=\"611\" height=\"343\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\r\n<p><em><strong>Conversion value<\/strong> <\/em>(parity value) is the value of a bond if it is converted into common shares at the prevailing market price.<\/p>\r\n<p>$$ \\text{Conversion value}=\\text{Underlying share price} \\times \\text{Conversion ratio} $$<\/p>\r\n<p>$$\u00a0 \\text{Minimum value of the convertible bond} = \\text{max(Conversion value, Straight value)} $$<\/p>\r\n<p>Where:<\/p>\r\n<p>Straight value is the value of the underlying option-free bond.<\/p>\r\n<div style=\"text-align:center; background:#f3f5f9; padding:26px 16px; margin:24px 0;\">\r\n  <div style=\"max-width:720px; margin:0 auto;\">\r\n    <a href=\"https:\/\/analystprep.com\/free-trial\/\" target=\"_blank\" rel=\"noopener noreferrer\"\r\n       style=\"display:block; width:100%; padding:14px 24px; border:2px solid #2f6fdd; border-radius:999px; color:#2f6fdd; text-decoration:none; font-size:16px; font-weight:500; line-height:1.2; text-align:center;\">\r\n      Practice convertible bond valuation for CFA Level II with a Free Trial.\r\n    <\/a>\r\n  <\/div>\r\n<\/div>\r\n<h4>Example: Conversion Value<\/h4>\r\n<p>Pallab Pujar, CFA, is analyzing a convertible bond. The characteristics of the bond and the underlying common stock are given below:<\/p>\r\n<p>$$ \\textbf{Characteristics of the convertible bond} \\\\ \\begin{array}{c|c} \\text{Par value} &amp; 100 \\\\ \\hline \\text{Annual coupon rate} &amp; 5.00\\% \\\\ \\hline \\text{Conversion ratio} &amp; 2.58 \\\\ \\hline \\text{Market price} &amp; {110\\% \\text{ of par value}} \\\\ \\hline \\text{Straight value} &amp; {90\\% \\text{ of par value}} \\\\ \\end{array} $$ $$ \\textbf{Underlying common stock characteristics} \\\\ \\begin{array}{c|c} \\text{Current market price} &amp; {$35 \\text{ per share}} \\\\ \\hline \\text{Annual cash dividend} &amp; {$2.20 \\text{ per share}} \\end{array} $$<\/p>\r\n<ol style=\"list-style-type: lower-roman;\" type=\"a\">\r\n\t<li>The conversion value is <em>closest<\/em> to:\r\n\r\n<p>$$\\begin{align*} \\text{Conversion value} &amp;=\\text{Underlying share price} \\times \\text{Conversion ratio} \\\\\u00a0 &amp;=$35\\times2.58=90.3 \\end{align*} $$<\/p>\r\n<\/li>\r\n\t<li>The minimum value of the convertible bond is <em>closest<\/em> to:\r\n\r\n<p>$$\\begin{align*} \\text{Min. value of the convertible bond} &amp;=\\text{max}{\\left(90.3, 90\\%\\times100\\right)} \\\\ \\text{max}{\\left(90.3,90\\right)} &amp; =$90.3 \\end{align*} $$<\/p>\r\n<\/li>\r\n<\/ol>\r\n<p>The <strong><em>market conversion price<\/em><\/strong> is the amount investors pay for a stock when exercising their option to exchange convertible bonds into the company\u2019s common stocks.<\/p>\r\n<p>$$ \\text{Market conversion price}=\\frac{\\text{Convertible bond price}}{\\text{Conversion ratio}} $$<\/p>\r\n<p>The <strong><em>market conversion premium per share<\/em><\/strong> is the premium or discount payable when buying the convertible bond rather than the underlying share.<\/p>\r\n<p>$$ \\begin{align*} &#038; \\text{Market conversion premium per share} \\\\ &#038; = \\text{Market conversion price}-\\text{Underlying share price} \\end{align*} $$<\/p>\r\n<p>The <em><strong>market conversion premium ratio<\/strong><\/em> is the percentage of the premium or discount investors have to pay in relation to the shares\u2019 current market price.<\/p>\r\n<p>$$ \\begin{align*} \\text{Market conversion premium ratio} =\\frac{\\text{Market conversion premium per share}}{\\text{Underlying share price}} \\end{align*} $$<\/p>\r\n<h4>Example: Market Conversion Price, Premium Per Share, and Premium Ratio<\/h4>\r\n<p>Pallab Pujar, CFA, is analyzing a convertible bond. The characteristics of the bond and the underlying common stock are given below:<\/p>\r\n<p>$$ \\textbf{Characteristics of the convertible bond} \\\\ \\begin{array}{c|c} \\text{Par value} &amp; 100 \\\\ \\hline \\text{Annual coupon rate} &amp; 5.00\\% \\\\ \\hline \\text{Conversion ratio} &amp; 2.58 \\\\ \\hline \\text{Market price} &amp; {110\\% \\text{ of par value}} \\\\ \\hline \\text{Straight value} &amp; {90\\% \\text{ of par value}} \\\\ \\end{array} $$ $$ \\textbf{Underlying common stock characteristics} \\\\ \\begin{array}{c|c} \\text{Current market price} &amp; {$35 \\text{ per share}} \\\\ \\hline \\text{Annual cash dividend} &amp; {$2.20 \\text{ per share}} \\end{array} $$<\/p>\r\n<ol type=\"a\">\r\n\t<li style=\"list-style-type: none;\">\r\n<ol style=\"list-style-type: lower-roman;\" type=\"a\">\r\n\t<li>The market conversion price of the convertible bond is <em>closest<\/em> to:\r\n\r\n<p>$$ \\begin{align*} \\text{Market conversion price} &amp;=\\frac{\\text{Convertible bond price}}{\\text{Conversion ratio}} \\\\\u00a0 &amp;=110\\%\\times\\frac{100}{2.58}=$42.64 \\end{align*} $$<\/p>\r\n<\/li>\r\n\t<li>The market conversion premium per share is <em>closest<\/em> to:\r\n\r\n<p>$$ \\begin{align*} \\text{Market conversion premium per share} &amp; = \\text{Market conversion price} \\\\ &amp; -\\text{Underlying share price} \\\\ &amp; =$42.64 &#8211; $35 = $7.62 \\end{align*} $$<\/p>\r\n<\/li>\r\n\t<li>The market conversion premium ratio is <em>closest<\/em> to:\r\n\r\n<p>$$ \\begin{align*} \\text{Market conversion } &amp; \\text{premium ratio} \\\\ &amp; =\\frac{\\text{Market conversion premium per share}}{\\text{Underlying share price}} \\\\ &amp; =\\frac{$7.62}{$35}=21.8\\% \\end{align*} $$<\/p>\r\n<\/li>\r\n<\/ol>\r\n<h2>Downside Risk and Upside Potential of Convertible Bonds<\/h2>\r\n<h3>Downside risk<\/h3>\r\n<p>The value of a straight bond can be used as a benchmark of the downside risk of a convertible bond. The following metric can thus be computed.<\/p>\r\n<p>$$ \\text{Premium over straight value} =\\frac{\\text{Bond price}}{\\text{Straight value}}-1 $$<\/p>\r\n<p>The higher the premium over straight value, the less attractive the convertible bond is holding all else constant. However, this measure is not accurate as the straight value varies with changes in the interest rates and credit spreads.<\/p>\r\n<h4>Example: Calculating Premium over Straight Value<\/h4>\r\n<p>Consider a convertible bond with a market price of $110 and a straight value of $90. The issuing company\u2019s stock is currently $35 per share. The bond\u2019s premium over straight value is closest to:<\/p>\r\n<p>$$ \\begin{align*} \\text{Premium over straight value} &amp;=\\frac{\\text{Convertible bond price}}{\\text{Straight value}}-1 \\\\\u00a0 &amp;=\\frac{$110}{$90}-1=22.2\\% \\end{align*} $$<\/p>\r\n<h3>Upside potential<\/h3>\r\n<p>The upside potential of a convertible bond depends on the expectation of the underlying common stock.\u2003<\/p>\r\n<blockquote>\r\n<h2>Question<\/h2>\r\n<p>Consider a convertible bond that pays 10% annual coupons issued on 01\/01\/2018 and maturing on 31\/12\/2020. The bond\u2019s characteristics and market information are outlined in the following table:<\/p>\r\n<p>$$ \\begin{array}{c|c} \\text{Issue date} &amp; {01 \\text{ January } 2018} \\\\ \\hline \\text{Maturity date} &amp; {31 \\text{ December } 2020} \\\\ \\hline \\text{Annual Coupon} &amp; 10.00\\% \\\\ \\hline \\text{Issue Size} &amp; 1,000,000 \\\\ \\hline \\text{Issue price} &amp; 1,000 \\\\ \\hline \\text{Conversion ratio} &amp; 25 \\\\ \\hline \\text{Straight value} &amp; 990 \\\\\\hline \\text{Common stock market price} &amp; {$30 \\text{ per share}} \\\\ \\hline \\text{Annual Cash Dividend} &amp; {$2.4 \\text{ per share}} \\end{array} $$<\/p>\r\n<p>The market conversion premium per share is <em>closest to<\/em>:<\/p>\r\n<ol type=\"A\">\r\n\t<li>$10.<\/li>\r\n\t<li>$30.<\/li>\r\n\t<li>$40.<\/li>\r\n<\/ol>\r\n<h4><strong>Solution<\/strong><\/h4>\r\n<p><strong>The correct answer is A.<\/strong><\/p>\r\n<p>$$ \\begin{align*} &#038; \\text{Market conversion premium per share}\u00a0\\\\ &#038; = \\text{Market conversion price} -\\text{Underlying share price} \\end{align*} $$<\/p>\r\n<p>Where:<\/p>\r\n<p>$$ \\begin{align*} \\text{Market conversion price} &amp;=\\frac{\\text{Convertible bond price}}{\\text{Conversion ratio}} \\\\\u00a0 \\\\\u00a0&amp; = \\frac{$1000}{$25}=$40 \\end{align*} $$<\/p>\r\n<p>$$ \\text{Market conversion premium per share} = $40-$30 = $10 $$<\/p>\r\n<\/blockquote>\r\n<p>Reading 30: Valuation and Analysis of Bonds with Embedded Options<\/p>\r\n<p><em>LOS 30 (o) Calculate and interpret the components of a convertible bond\u2019s value.<\/em><\/p>\r\n\r\n\n            <div \n                class=\"elfsight-widget-pricing-table elfsight-widget\" \n                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\n                data-elfsight-pricing-table-version=\"2.6.1\"\n                data-elfsight-widget-id=\"elfsight-pricing-table-3\">\n            <\/div>\n            <\/li>\r\n<\/ol>\r\n<div style=\"text-align:center; background:#f3f5f9; padding:48px 20px 28px; margin:40px 0;\">\r\n  \r\n  <a href=\"https:\/\/analystprep.com\/free-trial\/\" target=\"_blank\" rel=\"noopener noreferrer\"\r\n     style=\"display:inline-block; background:#4274d8; color:#ffffff; text-decoration:none; padding:18px 42px; border-radius:999px; font-size:17px; font-weight:700; line-height:1;\">\r\n    Start Free Trial\r\n  <\/a>\r\n\r\n  <p style=\"max-width:640px; margin:18px auto 0; font-size:16px; line-height:1.5; color:#1f2937;\">\r\n    Strengthen convertible bond valuation and hybrid security analysis with\r\n    exam-focused CFA Level II practice.\r\n  <\/p>\r\n\r\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Conversion value (parity value) is the value of a bond if it is converted into common shares at the prevailing market price. $$ \\text{Conversion value}=\\text{Underlying share price} \\times \\text{Conversion ratio} $$ $$\u00a0 \\text{Minimum value of the convertible bond} = \\text{max(Conversion&#8230;<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[102,472],"tags":[],"class_list":["post-17637","post","type-post","status-publish","format-standard","hentry","category-cfa-level-2","category-fixed-income","blog-post","no-post-thumbnail","animate"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Convertible Bond Value Components | CFA II<\/title>\n<meta name=\"description\" content=\"Learn how to calculate and interpret conversion value, conversion ratio, market conversion premium, and premium ratios for 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