The Long Memory of the Jump Intensity of the Price Process

Abstract

The impact of successive jumps in price process on volatility is very important. We study the nature of self-motivation in price process using data from China's stock market. Our empirical results suggest that: 1) Price jumps in China's stock market are generally self-motivated, i.e., price jumps are clustering. 2) The jump intensity of China's stock market is time-varying, and follows log-normal distribution, which indicates that the jump intensity is asymmetrical. 3) The jump intensities' sequence exhibits typical long memory.