Calculate the duration of a 12 percent coupon bond with 10 years remaining to maturity and selling
Question:
Calculate the duration of a 12 percent coupon bond with 10 years remaining to maturity and selling at par. Use annual interest rates. Given the duration calculated, calculate the percentage change in bond price if the market discount rate for this bond declines by 0.75 percent.
Coupon A coupon or coupon payment is the annual interest rate paid on a bond, expressed as a percentage of the face value and paid from issue date until maturity. Coupons are usually referred to in terms of the coupon rate (the sum of coupons paid in a...Discount Rate Depending upon the context, the discount rate has two different definitions and usages. First, the discount rate refers to the interest rate charged to the commercial banks and other financial institutions for the loans they take from the Federal...Maturity Maturity is the date on which the life of a transaction or financial instrument ends, after which it must either be renewed, or it will cease to exist. The term is commonly used for deposits, foreign exchange spot, and forward transactions, interest...
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Therefore the duration is 633 years Approximate change in bond price D 1YTM poin...View the full answer
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Bond valuation is the process of determining the worth of a bond. It is based on the present value of the bond\'s future cash flows, which include coupon payments and the return of the bond\'s face value (or \"principal\") at maturity. The discount rate used in the calculation is directly tied to prevailing interest rates, and a rise in interest rates will decrease the present value of the bond and thus lower its price. Conversely, a fall in interest rates will increase the present value of the bond and raise its price.
Interest rates serve as a benchmark for determining the value of a bond, as they determine the discount rate used in the bond valuation calculation. The most commonly used measure of interest rates is the yield to maturity (YTM), which represents the internal rate of return of an investment in a bond if the investor holds the bond until maturity and receives all scheduled payments. Yield to maturity is a function of the coupon rate, the current market price of the bond, the face value of the bond, and the number of years remaining until maturity. By comparing the yield to maturity of a bond to prevailing market interest rates, an investor can assess the relative value of the bond.