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John borrows 1000 for 10 years at an annual effective interest rate of 10%. He can repay this loan using the amortization method with equal

John borrows 1000 for 10 years at an annual effective interest rate of 10%. He can repay this loan using the amortization method with equal size payments of P at the end of each year. Instead, John repays the 1000 using a sinking fund that pays an annual effective rate of 14%. The deposits to the sinking fund equal to P minus the interest on the loan and are made at the end of each year for the next 10 years.

Determine the balance in the sinking fund immediately after the repayment of the loan.

a) 213

b) 218

c) 223

d) 230

e) 237

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