An Analysis on the Stochastic Process underlying KOSPI200 Index Oprions Focused on Jumps Process Open Access

This paper investigates empirically the modelling issues for the stochastic processes underlying KOSPI200 index options. Empirical results show that we need to incorporate two factor stochastic volatility processes to have a good option pricing performance. However, the number of the leverage channel is not an important issue for the modelling of the KOSPI200 index options. Our results also show that the models with finite activity large jumps outperform that with infinite activity small jumps for the financial crisis period. On the while, for the pre-crisis period, there is no clear superiority or inferiority between both jumps models.