Fill in the Blank QuestionFill in the blank question.If you invested $5,000 four years ago and today the value of that money is $5,800, the rate of return for the entire period would be %.
Question
Fill in the Blank QuestionFill in the blank question.If you invested 5,800, the rate of return for the entire period would be %.
Solution
To calculate the rate of return, you need to follow these steps:
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First, you need to find out how much profit you made. You do this by subtracting the initial investment from the final value. In this case, 5,000 = $800.
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Next, you need to divide the profit by the initial investment to find out the return as a proportion of the initial investment. So, 5,000 = 0.16.
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To convert this to a percentage, you multiply by 100. So, 0.16 * 100 = 16%.
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However, this is the total return over four years. To find the annual rate of return, you would need to take the fourth root of 1.16 (since there are four years), subtract 1, and multiply by 100. The fourth root of 1.16 is approximately 1.037. Subtracting 1 gives 0.037, and multiplying by 100 gives 3.7%.
So, the rate of return for the entire period would be 16%, but the annual rate of return would be approximately 3.7%.
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