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Short Communication: : Utility Indifference Pricing with High Risk Aversion and Small Linear Price Impact

Published: 01 January 2022 Publication History

Abstract

We consider the Bachelier model with linear price impact. Exponential utility indifference prices are studied for vanilla European options, and we compute their nontrivial scaling limit for a vanishing price impact which is inversely proportional to the risk aversion. Moreover, we find explicitly a family of portfolios which are asymptotically optimal.

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Published In

cover image SIAM Journal on Financial Mathematics
SIAM Journal on Financial Mathematics  Volume 13, Issue 1
EISSN:1945-497X
DOI:10.1137/sjfmbj.13.1
Issue’s Table of Contents

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Society for Industrial and Applied Mathematics

United States

Publication History

Published: 01 January 2022

Author Tags

  1. utility indifference pricing
  2. linear price impact
  3. asymptotic analysis

Author Tags

  1. 91G10
  2. 91G20
  3. 60H30

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