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This article is cited in 3 scientific papers (total in 3 papers)
Short Communications
Risk averse asymptotics and the optional decomposition
P. Granditsa, Ch. Summerb a Vienna University of Technology
b Institut für Kreditwirtschaft
Abstract:
We consider the problem of maximizing expected utility for a general utility function on $\textbf R$ when the agent becomes increasingly risk averse. The limiting strategy will be shown to be a special, unique superhedging strategy, the so-called balanced strategy. The connections to the optional decomposition and the class of minimal hedging strategies described in [D. O. Kramkov, Probab. Theory Related Fields, 105 (1996), pp. 459–479] are examined.
Keywords:
hedging, exponential utility, risk aversion, optional decomposition.
Received: 14.07.2003 Revised: 01.02.2005
Citation:
P. Grandits, Ch. Summer, “Risk averse asymptotics and the optional decomposition”, Teor. Veroyatnost. i Primenen., 51:2 (2006), 409–418; Theory Probab. Appl., 51:2 (2007), 325–334
Linking options:
https://www.mathnet.ru/eng/tvp64https://doi.org/10.4213/tvp64 https://www.mathnet.ru/eng/tvp/v51/i2/p409
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