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

Yan Dolinsky; Shir Moshe

doi:10.1137/21m1456431

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

Yan Dolinsky
, Shir Moshe

Department of Statistics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	SC12-SC25
Journal	SIAM Journal on Financial Mathematics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1137/21m1456431
State	Published - 2022

Bibliographical note

Publisher Copyright:
© 2022 Society for Industrial and Applied Mathematics Publications. All rights reserved.

Keywords

asymptotic analysis
linear price impact
utility indifference pricing

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10.1137/21m1456431

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title = "Short Communication: Utility Indifference Pricing with High Risk Aversion and Small Linear Price Impact",

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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KW - asymptotic analysis

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

Abstract

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Keywords

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