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CRRA Utility Maximization under Risk Constraints

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  • Santiago Moreno-Bromberg
  • Traian Pirvu
  • Anthony R'eveillac

Abstract

This paper studies the problem of optimal investment with CRRA (constant, relative risk aversion) preferences, subject to dynamic risk constraints on trading strategies. The market model considered is continuous in time and incomplete. the prices of financial assets are modeled by It\^o processes. The dynamic risk constraints, which are time and state dependent, are generated by risk measures. Optimal trading strategies are characterized by a quadratic BSDE. Within the class of \textit{time consistent distortion risk measures}, a three-fund separation result is established. Numerical results emphasize the effects of imposing risk constraints on trading.

Suggested Citation

  • Santiago Moreno-Bromberg & Traian Pirvu & Anthony R'eveillac, 2011. "CRRA Utility Maximization under Risk Constraints," Papers 1106.1702, arXiv.org, revised Mar 2012.
    • Handle: RePEc:arx:papers:1106.1702
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    References listed on IDEAS

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    Cited by:

    1. Soriano-Morales, Y. V. & Vallejo-Jiménez, Benjamín & Venegas-Martínez, Francisco, 2017. "Impact of the degree of relative risk aversion, the interest rate and the exchange rate depreciation on economic welfare in a small open economy," Panorama Económico, Escuela Superior de Economía, Instituto Politécnico Nacional, vol. 13(25), pages 7-24, Primer se.

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