Sensitivities of asian options in the black-scholes model

Dan Pirjol, Lingjiong Zhu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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.

Original languageEnglish
Article number1850006
JournalInternational Journal of Theoretical and Applied Finance
Volume21
Issue number1
DOIs
StatePublished - 1 Feb 2018

Keywords

  • Asian options
  • Greeks
  • approximation
  • sensitivity analysis

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