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arXiv 1208.3087q-fin.ST
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持续财务期限的建模与预测

Modeling and Forecasting Persistent Financial Durations

Filip Zikes, Jozef Barunik, Nikhil Shenai

摘要:

本文通过将Calvet和Fisher(2004)的MSM随机波动率模型应用于久期设定,引入了马尔可夫转换多分形久期(MSMD)模型。虽然MSMD过程是指数$β$混合,我们在文件中显示,它是能够产生高度持久的自相关。我们研究分析和模拟如何由MSMD过程产生的持续时间的这一特点传播到计数和已实现波动率。我们采用准最大似然估计的MSMD参数的基础上的Whittle近似,并建立其强一致性和渐近正态性一般MSMD规格。我们表明,惠特尔估计是一个计算简单,快速的替代最大似然。最后,我们比较了MSMD模型与竞争的短期和长期记忆持续时间模型在样本外预测练习的基础上的价格持续时间的三个主要外汇期货合约的性能。比较结果表明,MSMD和LMSD的性能相似,优于短记忆ACD模型。

英文摘要:

This paper introduces the Markov-Switching Multifractal Duration (MSMD) model by adapting the MSM stochastic volatility model of Calvet and Fisher (2004) to the duration setting. Although the MSMD process is exponential $β$-mixing as we show in the paper, it is capable of generating highly persistent autocorrelation. We study analytically and by simulation how this feature of durations generated by the MSMD process propagates to counts and realized volatility. We employ a quasi-maximum likelihood estimator of the MSMD parameters based on the Whittle approximation and establish its strong consistency and asymptotic normality for general MSMD specifications. We show that the Whittle estimation is a computationally simple and fast alternative to maximum likelihood. Finally, we compare the performance of the MSMD model with competing short- and long-memory duration models in an out-of-sample forecasting exercise based on price durations of three major foreign exchange futures contracts. The results of the comparison show that the MSMD and LMSD perform similarly and are superior to the short-memory ACD models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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