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Licensed Unlicensed Requires Authentication Published by De Gruyter (A) March 3, 2011

Asymptotic utility-based pricing and hedging for exponential utility

  • Jan Kallsen and Thorsten Rheinländer
From the journal Statistics & Decisions

Abstract

This paper deals with pricing and hedging based on utility indifference for exponential utility. We consider the limit for vanishing risk aversion or, equivalently, small quantities of the contingent claim. In first order approximation the utility indifference price and the corresponding hedge can be determined from the corresponding quadratic hedging problem relative to the minimal entropy martingale measure. This extends similar results obtained by Mania and Schweizer [21], Becherer [3], and Kramkov and Sîrbu [20,19].


* Correspondence address: Christian-Albrechts-Universität zu Kiel, Mathematisches Seminar, Westring 383, 24118 Kiel, Deutschland,

Published Online: 2011-03-03
Published in Print: 2011-03

© by Oldenbourg Wissenschaftsverlag, Kiel, Germany

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