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You bought a painting 7 years ago as an investment. You originally paid $145,000 for it. If you sold it for $307,000, what is your annual return on the investment

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Answer:

11.3%

Step-by-step explanation:

In this scenario a painting was bought at present value of $145,000 and sold at future value of $307,000. The time is 7 years in the future.

Return on investment is the gain on original cost of a project. A positive return on investment will result in profit of the project.

To calculate annual rate we use the following formula

Present value = Future value (1 + rate) ^ -number of years

145,000 = 307,000 {(1+r) ^ -7}

145,000/307,000 = (1+r) ^-7

0.4723 = (1 + r) ^ -7

1.113 = 1+ r

r = 0.113= 11.3%

User Kuvonchbek Yakubov
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