Problem 4: Use the following information to answer the questions. Suppose we see the following prices for zero-coupon bonds with maturities ranging from one to six years:

Maturity in Years Bond Price 1 $98.04 2 $95.18 3 $92.18 4 $89.28 5 $86.52 6 $83.90 Note: Each bond has a face value of $100 a) What is the three-year spot rate? b) What is the price of a six-year coupon bond that has a face value of $1,000 and an annual coupon rate of 8%? The coupons are paid annually