Sensitivities of Asian options in the Black-Scholes model

Dan Pirjol and Lingjiong Zhu

Papers from arXiv.org

Abstract: We propose analytical approximations for the sensitivities (Greeks) of the Asian options in the Black-Scholes model, following from a small maturity/volatility approximation for the option prices which has the exact short maturity limit, obtained using large deviations theory. Numerical tests demonstrate good agreement of the proposed approximation with alternative numerical simulation results for cases of practical interest. We also study the qualitative properties of Asian Greeks, including new results for Rho, the sensitivity with respect to changes in the risk-free rate, and Psi, the sensitivity with respect to the dividend yield. In particular we show that the Rho of a fixed-strike Asian option and the Psi of a floating-strike Asian option can change sign.

Date: 2023-01
New Economics Papers: this item is included in nep-sea
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Published in International Journal of Theoretical and Applied Finance 21(01), 1850008, 2018

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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2301.06460

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