G2TT
来源类型Discussion paper
规范类型论文
来源IDDP10034
DP10034 Factor Analysis with Large Panels of Volatility Proxies
Eric Ghysels
发表日期2014-06-22
出版年2014
语种英语
摘要We consider estimating volatility risk factors using large panels of filtered or realized volatilities. The data structure involves three types of asymptotic expansions. There is the cross-section of volatility estimates at each point in time, namely i = 1,?, N observed at dates t = 1,?, T: In addition to expanding N and T; we also have the sampling frequency h of the data used to compute the volatility estimates which rely on data collected at increasing frequency, h ? 0: The continuous record or in-fill asymptotics (h ? 0) allows us to control the cross-sectional and serial correlation among the idiosyncratic errors of the panel. A remarkable result emerges. Under suitable regularity conditions the traditional principal component analysis yields super-consistent estimates of the factors at each point in time. Namely, contrary to the root-N standard normal consistency we find N-consistency, also standard normal, due to the fact that the high frequency sampling scheme is tied to the size of the cross-section, boosting the rate of convergence. We also show that standard cross-sectional driven criteria suffice for consistent estimation of the number of factors, which is different from the traditional panel data results. Finally, we also show that the panel data estimates improve upon the individual volatility estimates.
主题Financial Economics
关键词Principal component analysis Arch-type filters Realized volatility
URLhttps://cepr.org/publications/dp10034
来源智库Centre for Economic Policy Research (United Kingdom)
资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/538866
推荐引用方式
GB/T 7714
Eric Ghysels. DP10034 Factor Analysis with Large Panels of Volatility Proxies. 2014.
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