Reward-Risk Ratios

Patrick Cheridito

ETH Zurich

Eduard Kromer

University of California, Berkeley

October 2013

Journal of Investment Strategies, Forthcoming

We introduce three new families of reward-risk ratios, study their properties and compare them to existing examples. All ratios in the three families are monotonic and quasi-concave, which means that they prefer more to less and encourage diversification. Members of the second family are also scale invariant. The third family is a subset of the second one, and all its members only depend on the distribution of a return. In the second part of the paper we provide an overview of existing reward-risk ratios and discuss their properties. For instance, we show that, like the Sharpe ratio, every reward-deviation ratio violates the monotonicity property.

Number of Pages in PDF File: 16

Keywords: Reward measures, risk measures, monotonicity, quasi-concavity, scale invariance, distribution based

JEL Classification: D81

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Date posted: September 10, 2012 ; Last revised: November 25, 2013

Suggested Citation

Cheridito, Patrick and Kromer, Eduard, Reward-Risk Ratios (October 2013). Journal of Investment Strategies, Forthcoming. Available at SSRN: https://ssrn.com/abstract=2144185 or http://dx.doi.org/10.2139/ssrn.2144185

Contact Information

Patrick Cheridito
ETH Zurich ( email )
Department of Mathematics
8092 Zurich
Eduard Kromer (Contact Author)
University of California, Berkeley ( email )
Evans Hall
Berkeley, CA 3860 94720
United States
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