Rationalizing Investors Choice

30 Pages Posted: 2 Feb 2014 Last revised: 1 May 2015

Carole Bernard

Grenoble Ecole de Management

Jit Seng Chen

Independent

Steven Vanduffel

Vrije Universiteit Brussel (VUB)

Date Written: January 31, 2014

Abstract

Assuming that agents’ preferences satisfy first-order stochastic dominance, we show how the Expected Utility paradigm can rationalize all optimal investment choices: the optimal investment strategy in any behavioral law-invariant (state-independent) setting corresponds to the optimum for an expected utility maximizer with an explicitly derived concave non-decreasing utility function. This result enables us to infer the utility and risk aversion of agents from their investment choice in a non-parametric way. We relate the property of decreasing absolute risk aversion (DARA) to distributional properties of the terminal wealth and of the financial market. Specifically, we show that DARA is equivalent to a demand for a terminal wealth that has more spread than the opposite of the log pricing kernel at the investment horizon.

Keywords: First-order stochastic dominance, Expected Utility, Utility Estimation, Risk Aversion, Law-invariant Preferences, Decreasing Absolute Risk Aversion, Arrow-Pratt risk aversion measure

JEL Classification: G11, D03, D11, G02

Suggested Citation

Bernard, Carole and Chen, Jit Seng and Vanduffel, Steven, Rationalizing Investors Choice (January 31, 2014). Journal of Mathematical Economics, Forthcoming. Available at SSRN: https://ssrn.com/abstract=2388929 or http://dx.doi.org/10.2139/ssrn.2388929

Carole Bernard (Contact Author)

Grenoble Ecole de Management ( email )

12, rue Pierre Sémard
Grenoble Cedex, 38003
France

Jit Seng Chen

Independent ( email )

No Address Available

Steven Vanduffel

Vrije Universiteit Brussel (VUB) ( email )

Pleinlaan 2
Brussels, Brabant 1050
Belgium

HOME PAGE: http://www.stevenvanduffel.com

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