{"id":1875,"date":"2019-09-27T13:33:00","date_gmt":"2019-09-27T13:33:00","guid":{"rendered":"https:\/\/analystprep.com\/cfa-level-1-exam\/?p=1875"},"modified":"2026-03-11T15:35:15","modified_gmt":"2026-03-11T15:35:15","slug":"bonds-price-coupon-rate-maturity-market-discount-rate","status":"publish","type":"post","link":"https:\/\/analystprep.com\/cfa-level-1-exam\/fixed-income\/bonds-price-coupon-rate-maturity-market-discount-rate\/","title":{"rendered":"Relationships Among a Bond\u2019s Price, Coupon Rate, Maturity, and Market Discount Rate"},"content":{"rendered":"\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"QAPage\",\n  \"mainEntity\": {\n    \"@type\": \"Question\",\n    \"name\": \"How will a bond price change if the discount rate increases by 100 basis points?\",\n    \"text\": \"A bond\u2019s price is forecast to increase by 4% if the market discount rate decreases by 100 basis points. If the bond market\u2019s discount rate increases by the same amount, the bond price will most likely change by:\\n\\nA. 4%\\nB. Less than 4%\\nC. More than 4%\",\n    \"answerCount\": 1,\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"The correct answer is B. Due to convexity, the relationship between a bond\u2019s price and its yield is nonlinear. When yields rise by the same magnitude that they previously fell, the bond price will decrease by a smaller percentage than the earlier increase.\"\n    }\n  }\n}\n<\/script>\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"VideoObject\",\n  \"name\": \"Introduction to Fixed Income Valuation (2025 Level I CFA\u00ae Exam \u2013 Fixed Income\u2013Module 3)\",\n  \"description\": \"This video lesson covers key concepts in fixed income valuation for CFA Level 1. It explains how to calculate bond prices using discount and spot rates, interpret yield measures, understand bond pricing components, and analyze various yield curves and spread measures. It also introduces matrix pricing and forward rate calculations.\",\n  \"uploadDate\": \"2022-05-21T00:00:00+00:00\",\n  \"thumbnailUrl\": \"https:\/\/i.ytimg.com\/vi\/lEbeibhvCzM\/hqdefault.jpg\",\n  \"contentUrl\": \"https:\/\/www.youtube.com\/watch?v=lEbeibhvCzM\",\n  \"embedUrl\": \"https:\/\/www.youtube.com\/embed\/lEbeibhvCzM\",\n  \"duration\": \"PT56M17S\"\n}\n<\/script>\n\n\n\n<iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/lEbeibhvCzM?si=AtpqB5wmLJe6yf58\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n\n\n<h2><strong>Price versus Market Discount Rate (Yield-to-maturity)<\/strong><\/h2>\n<p>The price of a\u00a0fixed-rate bond will fluctuate whenever the market discount rate changes. This relationship could be summarized as follows:<\/p>\n<ul>\n<li>when the market discount rate increases, the bond&#8217;s price decreases (inverse effect);<\/li>\n<li>when the market discount rate decreases, the bond&#8217;s price increases (inverse effect).<\/li>\n<\/ul>\n<p>However, the percentage price change is greater in absolute value when the market discount rate goes down than when it is up due to the convexity effect. We will see why this is true when we learn to interpret and calculate convexity in the reading on\u00a0<em>Understanding Fixed-Income Risk and Return<\/em>.<\/p>\n<h2><strong>Price versus Maturity<\/strong><\/h2>\n<p>When a bond is redeemed at maturity, the bondholder receives the bond\u2019s par value from the issuer. As a result, the price of the bond converges (moves closer) to the par value as the bond nears maturity. It is actually easy to see why this happens. As maturity nears, bondholders are almost assured of receiving the par amount and will not part ways with the bond unless offered a price closer to the par value. Buyers are also unwilling to pay much of a premium for a bond nearing maturity because they stand to receive only the par value when the bond is redeemed.<\/p>\n<p>Generally, all factors constant, the price of a longer-term bond is more volatile than that of a shorter-term bond. Think of a company that has issued a 30-year bond. There are high chances that interest rates, and hence bond prices, will vary quite a bit throughout the 30-year period. The price of a bond that matures in a few months would show less price volatility as interest rates are unlikely to change a lot in such a short period of time. Besides, with a short-term bond, bondholders are almost assured of being paid off.<\/p>\n<h2><strong>Price versus Coupon Rate<\/strong><\/h2>\n<p>When the coupon rate is greater than the market discount rate, the bond is priced at a premium above par value. Conversely, when the coupon rate is less than the market discount rate, the bond is priced at a discount below par value.<\/p>\n<p>All else equal, the price of a lower coupon bond is more volatile than that of a higher coupon bond. The smaller the coupon, the greater the interest rate risk<\/p>\n<blockquote>\n<h3><strong>Question<\/strong><\/h3>\n<p>A bond\u2019s price is forecast to increase by 4% if the market discount rate decreases by 100 basis points. If the bond market\u2019s discount rate increases by the same amount, the bond price will <em>most likely<\/em> change by:<\/p>\n<ol style=\"list-style-type: upper-alpha;\">\n<li data-tadv-p=\"keep\">4%.<\/li>\n<li data-tadv-p=\"keep\">Less than 4%<\/li>\n<li data-tadv-p=\"keep\">More than 4%<\/li>\n<\/ol>\n<p><strong>Solution<\/strong><\/p>\n<p>The correct answer is <strong>B<\/strong>.<\/p>\n<p>The bond price is most likely to change by less than 4% as the relationship between the bond&#8217;s price and the market discount rate is not linear (convexity effect).<\/p>\n<\/blockquote>","protected":false},"excerpt":{"rendered":"<p>Price versus Market Discount Rate (Yield-to-maturity) The price of a\u00a0fixed-rate bond will fluctuate whenever the market discount rate changes. This relationship could be summarized as follows: when the market discount rate increases, the bond&#8217;s price decreases (inverse effect); when the&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[9],"tags":[],"class_list":["post-1875","post","type-post","status-publish","format-standard","hentry","category-fixed-income","blog-post","no-post-thumbnail","animate"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Bond Pricing &amp; Interest Rates | CFA Level 1 - AnalystPrep<\/title>\n<meta name=\"description\" content=\"Understand how a bond\u2019s price fluctuates with changes in market discount rates, coupon rates, and time to maturity.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/analystprep.com\/cfa-level-1-exam\/fixed-income\/bonds-price-coupon-rate-maturity-market-discount-rate\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bond Pricing &amp; Interest Rates | CFA Level 1 - 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