Stability of exponential utility maximization with respect to market perturbations

Erhan Bayraktar and Ross Kravitz

Papers from arXiv.org

Abstract: We investigate the continuity of expected exponential utility maximization with respect to perturbation of the Sharpe ratio of markets. By focusing only on continuity, we impose weaker regularity conditions than those found in the literature. Specifically, we require, in addition to the $V$-compactness hypothesis of Larsen and \v{Z}itkovi\'c (2007) (ArXiv: 0706.0474), a local $bmo$ hypothesis, a condition which is seen to always be trivially satisfied in the setting of Larsen and \v{Z}itkovi\'c (2007). For markets of the form $S = M + \int \lambda d $, these conditions are simultaneously implied by the existence of a uniform bound on the norm of $\lambda \cdot M$ in a suitable $bmo$ space.

Date: 2011-07, Revised 2012-12
New Economics Papers: this item is included in nep-upt
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Journal Article: Stability of exponential utility maximization with respect to market perturbations (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1107.2716

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