Suppose the current, zero-coupon, yield curve for risk-free bonds is as follows:

Maturity (years)	1	2	3	4	5
Yield to Maturity	4.51	4.84	5.00%	5.12%	5.37%

a. What is the price per $100 face value of a 3-year, zero-coupon risk-free bond?

b. What is the price per $100 face value of a 5-year, zero-coupon, risk-free bond?

c. What is the risk-free interest rate for a 3-year maturity?

Note: Assume annual compounding.