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The Long Memory of the Jump Intensity of the Price Process

DOI: 10.4236/jmf.2021.112009, PP. 176-189

Keywords: Price Jump, Self-Motivated, Jump Intensity, Hurst Index, Long Memory

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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.

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