{"id":261055,"date":"2025-07-19T18:12:12","date_gmt":"2025-07-19T18:12:12","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=261055"},"modified":"2025-07-19T18:12:14","modified_gmt":"2025-07-19T18:12:14","slug":"a-bond-is-valued-at-99500-par-is-100000","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/19\/a-bond-is-valued-at-99500-par-is-100000\/","title":{"rendered":"A bond is valued at $99,500. Par is $100,000"},"content":{"rendered":"\n<p>A bond is valued at $99,500. Par is $100,000. The annual coupon is $450. What can you say about this bond? a. The YTM has dropped to a value below 4.5%. b. The YTM is equal to 4.5%. c. The YTM is now above 4.5%.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is <strong>c. The YTM is now above 4.5%<\/strong>.<\/p>\n\n\n\n<p>The bond is currently valued at $99,500, which is below its par value of $100,000. This indicates that the bond is trading at a discount, meaning its market price is lower than its face value. The coupon payment is $450 annually, which is based on the par value of $100,000. To calculate the bond&#8217;s coupon rate, divide the annual coupon payment by the par value: Coupon&nbsp;rate=450100,000=0.0045&nbsp;or&nbsp;4.5%\\text{Coupon rate} = \\frac{450}{100,000} = 0.0045 \\text{ or } 4.5\\%<\/p>\n\n\n\n<p>Since the bond is priced below par, the Yield to Maturity (YTM) must be higher than the coupon rate. This is because investors demand a higher return to compensate for purchasing the bond at a discount. The YTM represents the total return an investor can expect if the bond is held to maturity, including both the coupon payments and any gain from the bond&#8217;s price moving toward par.<\/p>\n\n\n\n<p>For a bond priced below par, the YTM will always exceed the coupon rate. In this case, since the bond is priced at $99,500 (a discount), the YTM is greater than 4.5%. Therefore, the correct choice is <strong>c. The YTM is now above 4.5%<\/strong>.<\/p>\n\n\n\n<p>A bond&#8217;s price and YTM are inversely related. If the bond price falls below par, the YTM increases because the investor is purchasing the bond at a discount and receiving the same fixed coupon payments. Conversely, if the bond price rises above par, the YTM would decrease as the investor is paying a premium for the same coupon payments.<\/p>\n\n\n\n<p><br><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A bond is valued at $99,500. Par is $100,000. The annual coupon is $450. What can you say about this bond? a. The YTM has dropped to a value below 4.5%. b. The YTM is equal to 4.5%. c. The YTM is now above 4.5%. The correct answer and explanation is: The correct answer is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-261055","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/261055","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=261055"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/261055\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=261055"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=261055"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=261055"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}