### The annual effective interest rate

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Cindy borrows 13,500 for 12 years at an annual effective interest rate of i. She accumulates the amount necessary to repay the loan by a sinking fund. Cindy makes 12 payments of P at the end of each year, which includes payment on the loan at an annual effective interest rate of i and payment into a sinking fund on which the annual effective interest rate is 4%. If the annual effective rate on the loan had been 2i instead of i, Cindy's total annual payment would have been 1.2 P. Find the amount P.....

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