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Zero Coupon yield curve

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Maturity (years) 1 2 3 4 5
YTM 5% 5.5% 5.75% 5.95% 6.05%

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

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

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

I need to work out the problems in Excel.

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