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What is the investment amount needed? Amy Monroe wants to create a fund today th

ID: 2381103 • Letter: W

Question

What is the investment amount needed?

Amy Monroe wants to create a fund today that will enable her to withdraw $34,550 per year for 8 years, with the first withdrawal to take place 5 years from today. If the fund earns 11% interest, how much must Amy invest today? (Round the answer to zero decimal places, e.g. 120,250. Hint: Use tables in text.)


Investment amount $ What is the investment amount needed? Amy Monroe wants to create a fund today that will enable her to withdraw $34,550 per year for 8 years, with the first withdrawal to take place 5 years from today. If the fund earns 11% interest, how much must Amy invest today?

Explanation / Answer

LET THE FUND VALUE TO BE CREATED BE "x"

Future value of the fund created = x*(1.11^4)

=1.518x




PRESENT VALUE OF THE WITHDRAWLS AT THE END OF 4TH YEAR = 34550*PVIFA(11%,8)

=34550*5.1461

=177798


therefore, 1.518x = 177798

therefore, x = 177798/1.518

=117126.48 ANSWER

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