We examine a unified approach of calculating the closed form solutions of option price under stochastic volatility models using stochastic calculus and the Fourier inversion formula. In particular, we review and derive the option pricing formulas under Heston and correlated Stein-Stein models using a systematic and comprehensive approach which were derived individually earlier. We compare the empirical performances of the two stochastic volatility models and the Black-Scholes model in pricing KOSPI 200 index options.
机构:
School of Business, Yonsei University, Seoul 120-749, 134 Shinchon-dong, Seodaemun-guSchool of Business, Yonsei University, Seoul 120-749, 134 Shinchon-dong, Seodaemun-gu
Kim I.J.
Baek I.-S.
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Samsung Investment Trust Management Co., Ltd., 36-1 Samsung Life Youido Bldg., Seoul 150-886, Youido-dong, Youngdeungpo-guSchool of Business, Yonsei University, Seoul 120-749, 134 Shinchon-dong, Seodaemun-gu
Baek I.-S.
Noh J.
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Graduate School of Management, Korea Advanced Institute of Science and Technology, Seoul 130-722, 207-43 Cheongyangni2-dong, D.-guSchool of Business, Yonsei University, Seoul 120-749, 134 Shinchon-dong, Seodaemun-gu
Noh J.
Kim S.
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School of Management, Seoul Woman's University, Seoul 139-774, 126 Gongreung-dong, Nowon-guSchool of Business, Yonsei University, Seoul 120-749, 134 Shinchon-dong, Seodaemun-gu