Spot rate Forward rate Consider the following four zero-coupon bonds: Bond Face value Time to maturity Market price (years) 1 $1,000 1 $966.93 2 $1,000 2 ? 3 $1,000 3 $916.48 $1,000 ? ? 3.21% ? 2.43% ? 4 4 2.73% a. Calculate the market prices for Bonds 2 and 4. Please show your calculations. b. Calculate the one and three-year spot rates. Please show your calculations. c. What is the shape of the yield curve? Please explain. d. Calculate the one-year forward rates over the second and fourth years. Please show your calculations. e. What is the price of a three-year coupon bond with a 5% annual coupon rate? The face value is $1,000. Please show your calculations. f. What is the yield to maturity (YTM) of the three-year coupon bond with a 5% annual coupon rate? Please show your calculations