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

Maturity (years)	1	2	3	4	5
Yield to Maturity	4.75%	5.07%	5.35%	5.73%	6.02%

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 4-year maturity?

Note: Assume annual compounding.