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(1 point) How much do you need to invest monthly into an ordinary annuity earning an annual interest rate of 4.58% compounded monthly so that you will have $12,555.00 after 4 years? (Note: Your answer is a dollar amount and should include a dollar sign)

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Answer #1

First,

Convert interest rate of 4.58% compounded monthly to annual compounding

Interest rate with annual compounding = (1 + 0.0458/12)12 -1

Interest rate = 4.677%

Period = 48 months

Future value = $12,555

Using TVM calculation,

PMT = [PV = 0, FV = 12555, R = 4.677, T = 48]

PMT = $238.37

So, $238.37 invested monthly for 4 years will result in $12,555 after 4 years.

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