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

Maturity (years)	1	2	3	4	5
Yield to Maturity	4.18%	4.49%	4.76%	5.10%	5.46%

a. What is the price per

$ 100$100

face value of a

33 -year,

zero-coupon risk-free bond?

b. What is the price per

$ 100$100

face value of a

44 -year,

zero-coupon, risk-free bond?

c. What is the risk-free interest rate for a

33 -year

maturity?

Note :

Assume annual compounding.