Asked by Dustin Politte on May 11, 2024

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Destiny Corporation has experienced returns of 9%, 18%, 27% and -15% returns over the past four years. Given this information, calculate the company's geometric average returns.

A) 6.75%
B) 8.55%
C) 10.35%
D) 12.15%
E) 14.05%

Geometric Average Returns

A method of calculating the average rate of return of a set of values that accounts for the effects of compounding, useful for assessing the performance of investments over time.

Returns

The profits or losses generated by an investment over a specific period, often expressed as a percentage of the initial investment cost.

Years

Units of time representing a period of twelve months or 365 days, used as a measure of time passing.

  • Understand the methods for calculating geometric and arithmetic mean returns.
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Huzaifah Al-Aqib Bin Farid Nasir G18B0008May 16, 2024
Final Answer :
B
Explanation :
The geometric average return is calculated by multiplying the returns (expressed as a decimal plus one), taking the nth root (where n is the number of returns), and then subtracting one and converting back to a percentage. For Destiny Corporation, the calculation is as follows: [(1 + 0.09) * (1 + 0.18) * (1 + 0.27) * (1 - 0.15)]^(1/4) - 1 = 0.0855 or 8.55%.