Published July 2021 | Accepted Version
Working Paper Open

The Efficient Frontier: A Note on the Curious Difference Between Variance and Standard Deviation

Roll, Richard

Abstract

The Markowitz Frontier of optimal portfolios is valid in both mean/variance space and in mean/standard deviation space. But there are some curious differences because lines in one space become curves in the other. This note explores and explains the curiosity.

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Created:
August 20, 2023
Modified:
February 2, 2025