Abstract
In the real world, products in the stock market do not generally follow a normal distribution, but are known to follow a fat-tail distribution with high kurtosis and thick tails of skewness. Therefore, the purpose of this study is to analyze option pricing using a distribution in which random variables follow a stable and independent distribution and well represent the properties of the actual distribution. At this time, for the empirical analysis data, 252 daily KOSPI200 closing price indexes were used from November 15, 2019 to November 20, 2020. Call Options(Put options) were set as OTM(ITM) and ITM (OTM) and analyzed.
 In the research methodology of this paper, option pricing was performed by the CTS (or CGMY) model assuming a Tempered Stable Distribution that is capable of Furier transformation. In addition, the Black-Scholes model assuming a normal distribution and Fourier transformation, and the Fourier transformation were performed. The option pricing model using the Merton Diffusion Process and Variance-Gamma process was compared and analyzed.
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