Estimation for a Second-Order Jump Diffusion Model from Discrete Observations: Application to Stock Market Returns

Estimation for a Second-Order Jump Diffusion Model from Discrete Observations: Application to Stock Market Returns
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根据离散观测估计二阶跳跃扩散模型:在股票市场回报中的应用

DOI:
10.1155/2018/9549707
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发表时间:
2018-06
影响因子:
1.4
通讯作者:
Luo Shuanghua
Luo Shuanghua
中科院分区:
数学4区
文献类型:
--
作者:
Yan Tianshun;Zhao Yanyong;Luo Shuanghua

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This paper proposes a second-order jump diffusion model to study the jump dynamics of stock market returns via adding a jump term to traditional diffusion model. We develop an appropriate maximum likelihood approach to estimate model parameters. A simulation study is conducted to evaluate the performance of the estimation method in finite samples. Furthermore, we consider a likelihood ratio test to identify the statistically significant presence of jump factor. The empirical analysis of stock market data from North America, Asia, and Europe is provided for illustration.
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