Joe must pay liabilities of 1,000 due 6 months from now and another 1,000 due one year from now. There are two available investments: \,1. Bond I: a 6-month bond with face amount of 1,000, a 8% nominal annual coupon rate convertible semiannually, and a 6% nominal annual yield rate convertible semiannually; and \,2. Bond II: a one year bond with face amount of 1,000, a 5% nominal annual coupon rate convertible semiannually, and a 7% nominal annual yield rate convertible semiannually Calculate the amount of each bond Joe should purchase in order to exactly match the liabilities.