Please answer A & B

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. a. Suppose that you buy today one 3-year maturity zero-coupon bond with face value $1,000. How many 5-year maturity zeros would you have to sell to make your initial cash flow equal to zero (specifically, what must be the total face value of those 5-year zeros)? b. What are the cash flows on this strategy in each year? c. What is the effective 2-year interest rate on the effective 3 -year-ahead forward loan? d. Confirm that the effective 2-year forward interest rate equals (1+f4)(1+f5)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 (1+y3)3(1+y5)51 Complete this question by entering your answers in the tabs below. a. Suppose that you buy today one 3-year maturity zero-coupon bond with face value $1,000. How many 5-year maturity zeros would you have to sell to make your initial cash flow equal to zero (specifically, what must be the total face value those 5-year zeros)? (Round your answer to 4 decimal places.) c. What is the effective 2 -year interest rate on the effective 3 -year-ahead forward loan? (Round your answer to 2 decimal places.) d. Confirm that the effective 2-year forward interest rate equals (1+f4)(1+f5)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.) Complete this question by entering your answers in the tabs below. 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.)