Special Session 132: 

Identification of Large Jumps in Daily Share Prices of Stock Index using a Jump Diffusion Model

Shuya Kanagawa
Tokyo City University
Japan
Co-Author(s):    Shuya Kanagawa
Abstract:
We investigate the daily share prices of the Nikkei 225 stock index to identify large jumps in daily share prices of the stock index using a jump diffusion model, which consists of the Black-Scholes model with stochastic volatility and a compound Poisson process. The volatility of the stock index is estimated by the historical volatility from the observation of daily share prices. We also refer to the number of daily share prices for historical volatility and show that the number is essential for the accuracy to identify large jumps.