A Study of Option Pricing Using Variance Gamma Process Lee, Hyun-Eui; Song, Seong-Joo;
Option pricing models using Levy processes are suggested as an alternative to the Black-Scholes model since empirical studies showed that the Black-Sholes model could not reflect the movement of underlying assets. In this paper, we investigate whether the Variance Gamma model can reflect the movement of underlying assets in the Korean stock market better than the Black-Scholes model. For this purpose, we estimate parameters and perform likelihood ratio tests using KOSPI 200 data based on the density for the log return and the option pricing formula proposed in Madan et al. (1998). We also calculate some statistics to compare the models and examine if the volatility smile is corrected through regression analysis. The results show that the option price estimated under the Variance Gamma process is closer to the market price than the Black-Scholes price; however, the Variance Gamma model still cannot solve the volatility smile phenomenon.
블랙-숄즈 모형과 Variance Gamma 모형을 이용한 지수연동예금 수익률 예상,김치훈;송성주;
Journal of the Korean Data Analysis Society, 2012. vol.14. 5, pp.2463-2475
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