Startseite The Case of “Less is More”: Modelling Risk-Preference with Expected Downside Risk
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The Case of “Less is More”: Modelling Risk-Preference with Expected Downside Risk

  • Mihály Ormos EMAIL logo und Dusán Timotity
Veröffentlicht/Copyright: 5. April 2017

Abstract

This paper discusses an alternative explanation for the empirical findings contradicting the positive relationship between risk (variance) and reward (expected return). We show that these contradicting results might be due to the false definition of risk-perception, which we correct by introducing Expected Downside Risk (EDR). The EDR parameter, similar to the Expected Shortfall or Conditional Value-at-Risk, measures the tail risk, however, fits and better explains the utility perception of investors. Our results indicate that when using the EDR as risk measure, both the positive and negative relationship between expected return and risk can be derived under standard conditions (e. g. expected utility theory and positive risk-aversion). Therefore, no alternative psychological explanation or additional boundary condition on utility theory is required to explain the phenomenon. Furthermore, we show empirically that it is a more precise linear predictor of expected return than volatility, both for individual assets and portfolios.

JEL Classification: G02; G12; G17; C53; C62

Funding statement: Bolyai Foundation, (Grant /Award Number: ‘BO/00144/15/9ʹ)

Acknowledgements

We would like to gratefully acknowledge the valuable comments and suggestions of two anonymous referees that contribute to a substantially improved paper. Mihály Ormos acknowledges that this study was supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences.

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Published Online: 2017-4-5

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