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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