Arithmetic and Geometric Rates of Return: Examining Volatility in Stock A and Stock B

Arithmetic and Geometric Rates of Return

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Question

Stock A is highly volatile while stock B has low volatility. The difference between the arithmetic and geometric rates of return will be:

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A. B. C. D.

C

The mean and the geometric mean are equal when volatility in the rate of return is zero. For a non- zero volatility, the mean exceeds the geometric mean and the difference is larger the higher the volatility.