1- Is the yield to maturity on a bond the same thing as the required return? Is YTM the same thing as the coupon rate? Suppose today a 10 percent coupon bond sells at par. Two years from now, the required return on the same bond is 8 percent. What is the coupon rate on the bond now? The YTM?
2- Suppose you buy a 7 percent coupon, 20-year bond today when it’s first issued. If interest rates suddenly rise to 15 percent, what happens to the value of your bond? Why?
3- Lycan, Inc., has 6 percent coupon bonds on the market that have 9 years left to maturity. The bonds make annual payments. If the YTM on these bonds is 8 percent, what is the current bond price?
4- Merton Enterprises has bonds on the market making annual payments, with 12 years to maturity, and selling for $963. At this price, the bonds yield 7.5 percent. What must the coupon rate be on Merton’s bonds?
5- App Store Co. issued 20-year bonds one year ago at a coupon rate of 6.1 percent. The bonds make semiannual payments. If the YTM on these bonds is 5.3 percent, what is the current bond price?
6- Volbeat Corporation has bonds on the market with 10.5 years to maturity, a YTM of 8.4 percent, and a current price of $945. The bonds make semiannual payments. What must the coupon rate be on the bonds?
7- If Treasury bills are currently paying 4.1 percent and the inflation rate is 1.6 percent, what is the approximate real rate of interest? The exact real rate?
8- Suppose the real rate is 2.8 percent and the inflation rate is 3.4 percent. What rate would you expect to see on a Treasury bill?
9- Bond X is a premium bond making annual payments. The bond has a coupon rate of 9 percent, a YTM of 7 percent, and has 13 years to maturity. Bond Y is a discount bond making annual payments. This bond has a coupon rate of 7 percent, a YTM of 9 percent, and also has 13 years to maturity. What are the prices of these bonds today? If interest rates remain unchanged, what do you expect the prices of these bonds to be in one year? In three years? In eight years? In 12 years? In 13 years? What’s going on here? Illustrate your answers by graphing bond prices versus time to maturity.
10- Bond J has a coupon rate of 4 percent. Bond S has a coupon rate of 14 percent. Both bonds have 10 years to maturity, make semiannual payments, and have a YTM of 8 percent. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? What if rates suddenly fall by 2 percent instead? What does this problem tell you about the interest rate risk of lower-coupon bonds?