Given the information of a pure yield curve below: Maturity (years) 1 2 3 4 Yield to Maturity (%) 3% 4% 5% 6% a. What is the present value of a bond with four years to maturity and a 10% coupon rate (pay coupon annually)? (5%) b. What is the yield to maturity of the bond? (5%) c. What is the short rate in each year? (15%)