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Problem 15-19 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

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Problem 15-19 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) 1 2 3 4. 5 Price $ 953.16 863.39 794.92 728.60 650.00 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.) Answer is complete and correct. 5-year maturity zeros 1.2230 + 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.) (1 + y5) 5 (1 + y3)3 1 2-year loan rate %

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