withdrew $5,000 to buy a used Prelude, and at the end of the fifth year (1/1/11) she had to withdraw $5,000 to pay to have her dissertation typed. Her account, at the end of the fifth year, was less than the amount she ha

CONCEPTS IN FED.TAX.,2020-W/ACCESS
20th Edition
ISBN:9780357110362
Author:Murphy
Publisher:Murphy
Chapter5: Introduction To Business Expenses
Section: Chapter Questions
Problem 61P
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On January 1, 2006, a graduate student developed a 5-year financial plan which would provide enough money at the end of her graduate work (January 1, 2011) to open a business of her own. Her plan was to deposit $8,000 per year for 5 years, starting immediately, into an account paying 10 percent compounded annually. Her activities proceeded according to plan except that at the end of her third year (1/1/09) she withdrew $5,000 to take a Caribbean cruise, at the end of the fourth year (1/1/10) she withdrew $5,000 to buy a used Prelude, and at the end of the fifth year (1/1/11) she had to withdraw $5,000 to pay to have her dissertation typed. Her account, at the end of the fifth year, was less than the amount she had originally planned on by how much?

Group of answer choices
$15,373
$16,550
$32,290
$38,352
$13,975
Expert Solution
Step 1

The difference amount will be only the future amount of withdrawals made.

As the compounding is made at the beginning of each period, the withdrawals made at the end of this year will have interest effect from the beginning of next year

Future Value = Amount * (1+i)n

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