The asymptotic elasticity of utility functions and optimal investment in incomplete markets

  • Dimitrij O. Kramkov
  • , Walter Schachermayer

Publikation: Working/Discussion PaperWU Working Paper und Case

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Abstract

The paper studies the problem of maximizing the expected utility of terminal wealth in the framework of a general incomplete semimartingale model of a financial market. We show that the necessary and sufficient condition on a utility function for the validity of several key assertions of the theory to hold true is the requirement that the asymptotic elasticity of the utility function is strictly less then one. (author's abstract)

Publikationsreihe

ReiheReport Series SFB "Adaptive Information Systems and Modelling in Economics and Management Science"
Nummer25

WU Working Papers und Cases

  • Report Series SFB \Adaptive Information Systems and Modelling in Economics and Management Science\

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