Both Bond A and Bond B have 9.8 percent coupons and are priced at par value. Bond A has 9 years to maturity, while Bond B has 20 years to maturity. a. If interest rates suddenly rise by 2.4 percent, what is the percentage change in price of Bond A and Bond B? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond A Bond B %A in Price % % b. If interest rates suddenly fall by 2.4 percent instead, what would be the percentage change in price Bond A and Bond B? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. %A in Price Bond A %

Both Bond A and Bond B have 9.8 percent coupons and are priced at par value. Bond A has 9 years to maturity, while Bond B has 20 years to maturity. a. If interest rates suddenly rise by 2.4 percent, what is the percentage change in price of Bond A and Bond B? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond A Bond B %A in Price % % b. If interest rates suddenly fall by 2.4 percent instead, what would be the percentage change in price Bond A and Bond B? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. %A in Price Bond A %

Personal Finance

13th Edition

ISBN:9781337669214

Author:GARMAN

Publisher:GARMAN

Chapter14: Investing In Stocks And Bonds

Section: Chapter Questions

Problem 6DTM

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Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?
What would be the value of the bond described in Part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return? Would we now have a discount or a premium bond? What would happen to the bond’s value if inflation fell and rd declined to 7%? Would we now have a premium or a discount bond? What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%? (Hint: With a financial calculator, enter PMT, I/YR, FV, and N, and then change N to see what happens to the PV as the bond approaches maturity.)
Interest Rate Sensitivity A bond trader purchased each of the following bonds at a yield to maturity of 8%. Immediately after she purchased the bonds, interest rates fell to 7%. What is the percentage change in the price of each bond after the decline in interest rates? Assume annual coupons and annual compounding. Fill in the following table:
Bond Valuation and Changes in Maturity and Required Returns Suppose Hillard Manufacturing sold an issue of bonds with a 10-year maturity, a 1,000 par value, a 10% coupon rate, and semiannual interest payments. a. Two years after the bonds were issued, the going rate of interest on bonds such as these fell to 6%. At what price would the bonds sell? b. Suppose that 2 years after the initial offering, the going interest rate had risen to 12%. At what price would the bonds sell? c. Suppose that 2 years after the issue date (as in Part a) interest rates fell to 6%. Suppose further that the interest rate remained at 6% for the next 8 years. What would happen to the price of the bonds over time?
Both Bond Bill and Bond Ted have 11 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 3 years to maturity, whereas Bond Ted has 20 years to maturity. Both bonds have a par value of 1,000. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. If rates were to suddenly fall by 2 percent instead, what would be the percentage change in the price of these bonds? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Bond J has a coupon rate of 7 percent and Bond K has a coupon rate of 13 percent. Both bonds have 16 years to maturity, make semiannual payments, and have a YTM of 10 percent. a. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e. g., 32.16.) b. What if rates suddenly fall by 2 percent instead? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)
Laurel, Inc., and Hardy Corp. both have 7 percent coupon bonds outstanding, with semiannual interest payments, and both are priced at par value. The Laurel, Inc., bond has three years to maturity, whereas the Hardy Corp. bond has 16 years to maturity. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) If interest rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of these bonds be then? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)