Question
You are given two loans, with each loan to be repaid by a single payment in the future. The first loan is repaid by a
You are given two loans, with each loan to be repaid by a single payment in the future. The first loan is repaid by a 3,000 payment at the end of four years, with interest accrued at an effective annual interest rate of 0.08. The second loan is repaid by a 4,000 payment at the end of five years, with a semiannual nominal interest rate of 0.1. However, you decide to consolidate the two loans, so that instead of making the payments separately for each loan, the combined loans are repaid by two equal installments of X, with an effective annual interest rate of 0.07. The first payment is due in one year, and the second is due in two years. Calculate X.
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