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Journal of Financial and Quantitative Analysis Vol. 49 No. 5-6 2014

A Model-Free Measure of Aggregate Idiosyncratic Volatility and the Prediction of Market Returns

René Garcia; Daniel Mantilla-García1; Lionel Martellini2

1 [email protected],Research Department,Optimal Asset Management,171 Main St # 298,Los Altos,CA 94022,and EDHEC-Risk Institute · 2 Ecole des Hautes Etudes Commerciales du Nord

open access

Abstract

In this paper, we formally show that the cross-sectional variance of stock returns is a consistent and asymptotically efficient estimator for aggregate idiosyncratic volatility. This measure has two key advantages: It is model free and observable at any frequency. Previous approaches have used monthly model-based measures constructed from time series of daily returns. The newly proposed cross-sectional volatility measure is a strong predictor for future returns on the aggregate stock market at the daily frequency. Using the cross section of size and book-to-market portfolios, we show that the portfolios’ exposures to the aggregate idiosyncratic volatility risk predict the cross section of expected returns.

DOI
10.1017/s0022109014000489
Volume
49
Issue
5-6
Pages
1133-1165
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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