Asian option valuation under price impact

Priyanshu Tiwari and Sourav Majumdar

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Abstract: We study the valuation of Asian options in a binomial market with permanent price impact, extending the Cox-Ross-Rubinstein framework under a modified risk-neutral probability. We obtain an exact pathwise representation for geometric Asian options and derive two-sided bounds for arithmetic Asian options. Our analysis identifies the no-arbitrage region in terms of hedging volumes and shows that permanent price impact systematically raises Asian option prices. Numerical examples illustrate the effect of the impact parameter and hedging volumes on the resulting prices.

Date: 2025-12
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