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All Journal International Journal of Financial and Investment Studies
Bernadet Hilga Palma Paskalia
Gadjah Mada University
Economics, Econometrics & Finance

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VARIANCE GAMMA MODEL AND ITS DEVELOPMENT FOR STOCKS CALL OPTION PRICES ESTIMATION Bernadet Hilga Palma Paskalia; Ruth Cornelia Nugraha; Dhestar Bagus Wirawan
International Journal of Financial and Investment Studies (IJFIS) Vol 3 No 1 (2022): APRIL 2022
Publisher : Finance and Investment Program, School of Business and Management - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.9744/ijfis.3.1.43-51

Abstract

One of the developments in the options market is the formation of various pricing models for an option to help the buyer determine the fairness of the price. Black-Scholes model uses the assumption that the log return price of stocks is normally distributed, while in reality, the real-world price couldn’t fit into that assumption. To be able to obtain an option price calculation that considers skewness and kurtosis in the stock price data, there are many alternative methods, namely Black-Scholes with Gram-Charlier expansion and Variance Gamma models. As a development of the Variance Gamma model, there are also several methods that are able to reduce the simulations variance generated by the Variance Gamma model, namely Antithetic Variate Variance Gamma model and the Importance Sampling Variance Gamma method. For the results, the Importance Sampling Variance Gamma model and the Antithetic Variate Variance Gamma model are really able to reduce the resulting simulations variance so that it can produce more accurate option prices with market prices compared to the Variance Gamma model. In the end, all Variance Gamma models are able to produce a call option price that is more in line with the market price than all Black Scholes models.
Co-Authors Dhestar Bagus Wirawan Ruth Cornelia Nugraha