Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) 1 2 3 4 Coupon rate (annual payment)0 %8 % 5% 13% YTM 1.971% 4.723% 6.201% 6.695% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is nothing%. (Round to two decimal places.)