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26 votes
26 votes
Dr. Porterfield a financial counselor guru informed Mr. Halpayne he needs $2,000,000 saved if he intends to retire with his wives (7 of them) and not be homeless in future. Calculate the present value Mr. Halpayne needs if he intends to retire in 20 years provided he invests in a financial plan that pays 5% interest compunded monthly.

User Swaprks
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1 Answer

21 votes
21 votes

9514 1404 393

Answer:

$737,289

Explanation:

The future value of an investment P invested at rate r per year compounded monthly for t years is ...

FV = P(1 +r/12)^(12·t)

We want to find P for the given future value, so we can solve for that:

P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)

P = $2,000,000(1 +.05/12)^(-240) = $737,289

Mr. Halpayne needs a present value of $737,289 to support his retirement.

User Muluken Getachew
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