Recurrence relation-compound interest

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Reference no: EM13131376

1. Pauline takes a loan of S dollars at an interest rate of r percent per month, compounded monthly. She plans to repay the loan in T equal monthly installments of P dollars each.

a) Let a(subscript n) denote the amount Pauline owes on the loan after n months. Write a recurrence relation for a (subscript n).

b) Solve the recurrence relation that you obtained in a), above.

c) Use your answer from b) to obtain a formula for the monthly payment, P.

Reference no: EM13131376

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