Check my work The prices of zero-coupon bonds with various maturities are given in the following table. Suppose that you want to construct a 2-year maturity forward loan commencing in 3 years. The face value of each bond is $1,000. Maturity (Years) Price S 940.93 1 2 868.39 3 800.92 4 735.40 5 670.48 a. Suppose that you buy today one 3-year maturity zero-coupon bond. How many 5-year maturity zeros would you have to sell to make your initial cash flow equal to zero? (Round your answer to 4 decimal places.) 5-year maturity zeros b. What are the cash flows on this strategy in each year? (Negative value should be indicated by a minus sign. Leave cell blank if there is no effect. Round your answers to 2 decimal places.) Cash Flow Time 0 Next> 13 of 13 Prev c. What is the effective 2-year interest rate on the effective 3-year-ahead forward loan? (Round your answer to 2 decimal places.) 2-year interest rate % pok int ences d. Confirm that the effective 2-year forward interest rate equals (1+) (1+f)-1. You therefore can interpret the 2-year loan rate as a 2-year forward rate for the last two years. Alternatively, show that the effective 2-year forward rate equals (Round your answer to 2 decimal places.) (y3) 2-year loan rate