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Multiple Choice
If you desire your savings to double in 6 years, what annual rate of return (compounded annually) would you need to earn?
A
Exactly 10.0\%
B
Approximately 8.3\%
C
Approximately 6.0\%
D
Approximately 12.2\%
Verified step by step guidance
1
Step 1: Understand the concept of the Rule of 72, which is a simplified formula to estimate the number of years required to double an investment at a fixed annual rate of return. The formula is: \( \text{Rate of Return} = \frac{72}{\text{Time to Double}} \).
Step 2: Identify the given information in the problem. The time to double the savings is 6 years, and the goal is to find the annual rate of return.
Step 3: Apply the Rule of 72 formula. Substitute the time to double (6 years) into the formula: \( \text{Rate of Return} = \frac{72}{6} \).
Step 4: Simplify the equation to calculate the approximate rate of return. This will give you the annual rate of return needed to double the savings in 6 years.
Step 5: Compare the calculated rate of return with the provided options (10.0\%, 8.3\%, 6.0\%, and 12.2\%) to determine the correct answer.