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John wishes to borrow 10,000. Lenders X and Y offer the following terms: Lender X would be repaid with 10 equal annual payments made at

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John wishes to borrow 10,000. Lenders X and Y offer the following terms: Lender X would be repaid with 10 equal annual payments made at the end of each year at 8% interest effective annually. Lender Y charges an annual effective interest rate of i with John accumulating the amount necessary to repay the loan by means of 10 annual deposits at the end of each year into a sinking fund earning 7% interest effective annually. The total payment (principal and interest) is the same for Lender X as for Lender Y. Calculate

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