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Find the payment that should be used for the annuity due whose future value is given. Assume that the compounding period is the same as the payment period.$118,000; monthly payments for 8 years; interest rate 9%.Group of answer choices

Question

Find the payment that should be used for the annuity due whose future value is given. Assume that the compounding period is the same as the payment period.$118,000; monthly payments for 8 years; interest rate 9%.Group of answer choices

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Solution

To solve this problem, we will use the formula for the future value of an annuity due. The formula is:

FV = P * [(1 + r/n)^(nt) - 1] / (r/n) * (1 + r/n)

Where: FV = Future Value = $118,000 P = Payment (what we're trying to find) r = annual interest rate = 9% = 0.09 n = number of times interest applied per time period = 12 (monthly payments) t = time the money is invested for = 8 years

We can rearrange the formula to solve for P:

P = FV / {[(1 + r/n)^(nt) - 1] / (r/n) * (1 + r/n)}

Substituting the given values:

P = $118,000 / {[(1 + 0.09/12)^(12*8) - 1] / (0.09/12) * (1 + 0.09/12)}

Now, we can calculate the value of P using a calculator.

This problem has been solved

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