Dan has $500. He invests that $500 into the stock market and in Week 1, he collects 10% of what he initially invested, closing the week at $550. Dan takes that $550 and invests it into the stock market on Week 2, collecting another 10%, giving him $605 at the end of Week 2. Dan takes the $605 entering Week 3, collects another 10% and closes Week 3 with a total of $665.50. If this pattern continues, how much would Dan have at the end of the year (52 weeks)?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Dan has $500. He invests that $500 into the stock market and in Week 1, he collects 10% of what he initially invested, closing the week at $550.

Dan takes that $550 and invests it into the stock market on Week 2, collecting another 10%, giving him $605 at the end of Week 2.

Dan takes the $605 entering Week 3, collects another 10% and closes Week 3 with a total of $665.50.

If this pattern continues, how much would Dan have at the end of the year (52 weeks)?

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The future value is the future worth of the amount that will be paid or received in the future.

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