Sufficient conditions for expected utility to imply drawdown-based performance rankings

B-Tier
Journal: Journal of Banking & Finance
Year: 2011
Volume: 35
Issue: 9
Pages: 2311-2318

Authors (2)

Schuhmacher, Frank (not in RePEc) Eling, Martin (Universität St. Gallen)

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

The least restrictive sufficient condition for expected utility to imply Sharpe ratio rankings is the location and scale (LS) property (see [Sinn, 1983] and [Meyer, 1987]). The normal, the extreme value, and many other distributions commonly used in finance satisfy this property. We argue that the LS property is also sufficient for expected utility to imply drawdown-based performance measure rankings, because for investment funds satisfying the LS condition, the Sharpe ratio and drawdown-based performance measures result in identical rankings. Hence, the same conditions that provide an expected utility foundation for the Sharpe ratio also provide a foundation for drawdown-based performance measures. We conclude that from a decision-theoretic perspective, drawdown-based performance measures are as good as the Sharpe ratio.

Technical Details

RePEc Handle
repec:eee:jbfina:v:35:y:2011:i:9:p:2311-2318
Journal Field
Finance
Author Count
2
Added to Database
2026-01-25