在持久波动与平稳波动之间做出选择

Choosing between persistent and stationary volatility

Annals of Statistics · 2022
被引 1
ABS 4★

中文导读

提出一种将波动率分解为平稳部分和非平稳持久部分的乘法模型,并给出检验方法判断哪种波动占主导,实证表明持久波动范式更符合数据,平稳条件异方差不如以往认为的显著。

Abstract

This paper suggests a multiplicative volatility model where volatility is decomposed into a stationary and a nonstationary persistent part. We provide a testing procedure to determine which type of volatility is prevalent in the data. The persistent part of volatility is associated with a nonstationary persistent process satisfying some smoothness and moment conditions. The stationary part is related to stationary conditional heteroskedasticity. We outline theory and conditions that allow the extraction of the persistent part from the data and enable standard conditional heteroskedasticity tests to detect stationary volatility after persistent volatility is taken into account. Monte Carlo results support the testing strategy in small samples. The empirical application of the theory supports the persistent volatility paradigm, suggesting that stationary conditional heteroskedasticity is considerably less pronounced than previously thought.

波动率建模计量经济学金融时间序列异方差性