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The role of stochastic volatility and return jumps: reproducing volatility and higher moments in the KOSPI 200 returns dynamics
Authors:In Joon Kim  In-Seok Baek  Jaesun Noh  Sol Kim
Institution:1.School of Business,Yonsei University,Seodaemun-gu,Republic of Korea;2.Samsung Investment Trust Management Co., Ltd,Youngdeungpo-gu,Republic of Korea;3.Graduate School of Management,Korea Advanced Institute of Science and Technology,Dongdaemoon-gu,Republic of Korea;4.School of Management,Seoul Woman’s University,Nowon-gu,Republic of Korea
Abstract:This paper investigates the role of stochastic volatility and return jumps in reproducing the volatility dynamics and the shape characteristics of the Korean Composite Stock Price Index (KOSPI) 200 returns distribution. Using efficient method of moments and reprojection analysis, we find that stochastic volatility models, both with and without return jumps, capture return dynamics surprisingly well. The stochastic volatility model without return jumps, however, cannot fully reproduce the conditional kurtosis implied by the data. Return jumps successfully complement this gap. We also find that return jumps are essential in capturing the volatility smirk effects observed in short-term options.
Contact Information Sol KimEmail:
Keywords:Stochastic volatility model  Jump diffusion model  Efficient method of moments  Reprojection  Markov Chain Monte Carlo  Option pricing implications
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