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Optimal investments for risk- and ambiguity-averse preferences: a duality approach

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Abstract

Ambiguity, also called Knightian or model uncertainty, is a key feature in financial modeling. A recent paper by Maccheroni et al. (preprint, 2004) characterizes investor preferences under aversion against both risk and ambiguity. Their result shows that these preferences can be numerically represented in terms of convex risk measures. In this paper we study the corresponding problem of optimal investment over a given time horizon, using a duality approach and building upon the results by Kramkov and Schachermayer (Ann. Appl. Probab. 9, 904–950, 1999; Ann. Appl. Probab. 13, 1504–1516, 2003).

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  1. Institut für Mathematik, TU Berlin, MA 7-4, Strasse des 17. Juni 136, 10623, Berlin, Germany

    Alexander Schied

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  1. Alexander Schied
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Correspondence to Alexander Schied.

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Supported by Deutsche Forschungsgemeinschaft through the SFB 649 “Economic Risk”.

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Schied, A. Optimal investments for risk- and ambiguity-averse preferences: a duality approach. Finance Stoch 11, 107–129 (2007). https://doi.org/10.1007/s00780-006-0024-2

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