Bond A is a premium bond making semiannual payments. The bond pays a coupon rate of 8.6 percent, has a YTM of 6.8 percent, and has 15 years to maturity. Bond B is a discount bond making semiannual payments. This bond pays a coupon rate of 6.8 percent, has a YTM of 8.6 percent, and also has 15 years to maturity. The bonds have a par value of $1,000. What is the price of each bond today? Calculate the price of both bonds if interest rates fall by 2%, 1%, and increase by 1%, 2% (so that you have 5 different prices for each bond). Which bond is more sensitive to changes in interest rates? Comment on why (a good answer will have at least 3 sentences explaining the reason)

Bond A is a premium bond making semiannual payments. The bond pays a coupon rate of 8.6 percent, has a YTM of 6.8 percent, and has 15 years to maturity. Bond B is a discount bond making semiannual payments. This bond pays a coupon rate of 6.8 percent, has a YTM of 8.6 percent, and also has 15 years to maturity. The bonds have a par value of $1,000. What is the price of each bond today? Calculate the price of both bonds if interest rates fall by 2%, 1%, and increase by 1%, 2% (so that you have 5 different prices for each bond). Which bond is more sensitive to changes in interest rates? Comment on why (a good answer will have at least 3 sentences explaining the reason)

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)

7th Edition

ISBN:9780357033609

Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Chapter12: Investing In Stocks And Bonds

Section: Chapter Questions

Problem 10FPE

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Current Yield with Semiannual Payments A bond that matures in 7 years sells for $1,020. The bond has a face value of $1,000 and a yield to maturity of 10.5883%. The bond pays coupons semiannually. What is the bond’s current yield?
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.)
Bond Value as Maturity Approaches An investor has two bonds in his portfolio. Each bond matures in 4 years, has a face value of 1,000, and has a yield to maturity equal to 9.6%. One bond, Bond C, pays an annual coupon of 10%; the other bond, Bond Z, is a zero coupon bond. Assuming that the yield to maturity of each bond remains at 9.6% over the next 4 years, what will be the price of each of the bonds at the following time periods? Fill in the following table:
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?