1.Suppose you purchase a 30-year Treasury bond with a 5% annual coupon, initially trading at par. In 10 years’ time, the bond’s yield to maturity has risen to 7% (EAR).
a. If you sell the bond now, what internal rate of return will you have earned on your investment in the bond?
b. If instead you hold the bond to maturity, what internal rate of return will you earn on your investment in the bond?
c. Is comparing the IRRs in (a) versus (b) a useful way to evaluate the decision to sell the bond? Explain.
2.What is the price today of a two-year, default-free security with a face value of $1000 and an annual coupon rate of 6%? Does this bond trade at a discount, at par, or at a premium?
3.What is the price of a five-year, zero-coupon, default-free security with a face value of $1000?