Question

Joe must pay liabilities of 1,000 due one year from now and another 2,000 due three...

Joe must pay liabilities of 1,000 due one year from now and another 2,000 due three years from now. There are two available investments: Bond I: A one-year zero-coupon bond that matures for 1,000. The yield rate is 6% per year Bond II: A two-year zero-coupon bond with face amount of 1,000. The yield rate is 7% per year. At the present time the one-year forward rate for an investment made two years from now is 6.5%. Joe plans to buy amounts of each bond. He plans to reinvest the proceeds from Bond II in a one-year zero-coupon bond. Assuming the reinvestment earns the forward rate, calculate the total purchase price of Bond I and Bond II where the amounts are selected to exactly match the liabilities. 2,584 2,697 2,801 2,907 3,000

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