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.