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Use of the Geometric Mean Return Formula. The formula for the geometric mean return is used specifically for investments that are compounded. By contrast, a simple interest account would use the arithmetic average which is summing the rates and dividing by the number of periods.
The main benefit to using the geometric mean is that the actual amounts invested do not need to be known; the calculation focuses entirely on the return figures themselves and presents an apples-to-apples comparison when looking at two investment options.RELATED TERMS.he average of a set of products, the calculation of which is commonly used to determine the performance results of an investment or portfolio. Technically defined as the 'n'th root product of 'n' numbers, the formula for calculating geometric mean is most easily written as: