Incorporating Realized Quarticity into a Realized Stochastic Volatility Model

Incorporating Realized Quarticity into a Realized Stochastic Volatility Model
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将已实现的质量纳入已实现的随机波动率模型

DOI:
10.1007/s10690-019-09276-2
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发表时间:
2019
影响因子:
1.7
通讯作者:
D. B. Nugroho and T. Morimoto
D. B. Nugroho and T. Morimoto
中科院分区:
--
文献类型:
--
作者:
Yusuke Naritomi;Takanori Adachi;D. B. Nugroho and T. Morimoto

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本文提出了将已实现数量rq纳入波动过程的已实现随机波动模型的扩展。我们在马尔可夫链蒙特卡罗算法中采用了一种有效的黎曼流形哈密顿蒙特卡罗方法来估计不能直接采样的参数。我们使用东京证券交易所上市的6个股票指数和24只个股的数据来研究所提出模型的实证表现。参数估计和两个贝叶斯模型选择标准揭示了支持基于grq的模型的证据,该模型由rqdata的最大值驱动。该模型在捕获由较大的qvalue引起的波动峰值方面始终优于基准实现的随机波动模型。包括诸如收益-波动率和重尾收益的不对称效应等规范化事实,我们的结果表明,所提出的模型在股票收益与波动率和股票收益的重尾之间表现出较弱的相关性。
This study proposes an extension of the realized stochastic volatility model by incorporating realized quarticityRQinto the volatility process. We employ an efficient Riemann Manifold Hamiltonian Monte Carlo method in a Markov Chain Monte Carlo algorithm to estimate parameters that could not be sampled directly. We investigate the empirical performance of the proposed model using data for six equity indices and 24 individual stocks listed on the Tokyo Stock Exchange. Parameter estimates and two Bayesian model selection criteria reveal evidence supportingRQ-based models that are driven by the maximum value ofRQdata. That model consistently outperforms benchmark realized stochastic volatility models in capturing spikes in volatility caused by largeRQvalues. Including such stylised facts as the asymmetric effect of returns-volatility and heavy tailed returns, our results reveal that the proposed models exhibit a weaker correlation between stock returns and volatility and heavier tails in equity returns.
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