Idiosyncratic Risk and the Cross-Section of Realized Returns: Reconciling the Aggregate Returns’ Predictability Evidence

67 Pages Posted: 17 Mar 2010

See all articles by Daniel Mantilla-Garcia

Daniel Mantilla-Garcia

Universidad de Los Andes - School of Management; EDHEC Risk Institute

Lionel Martellini

EDHEC Business School

René Garcia

Université de Montréal - CIREQ - Département de sciences économiques; University of Montreal

Date Written: November 16, 2009

Abstract

Whether idiosyncratic volatility has increased over time and whether it is a good predictor of future returns is a matter of active debate. We show formally through central limit arguments that there is a direct relationship between the dynamics of the cross-sectional variance of realized returns and the dynamics of average idiosyncratic variance. A key advantage of this measure is its observability at any frequency, while previous approaches have been limited to use monthly estimations. Another is that the concept extends naturally to cross-sectional higher-order moments. We confirm previous results obtained with other measures and provide new evidence on the time-series properties and predictive power of idiosyncratic risk on the market return that could not have been obtained with traditional measures. In particular, we find that the use of daily estimations and the introduction of robust proxies for higher-order moments induce a very substantial increase in the explanatory power of idiosyncratic risk on the average market portfolio return. Additionally, we provide some criteria for the choice of the weighting scheme used on the measure of idiosyncratic variance and find that taking a consistent weighting for the idiosyncratic variance measure and the market portfolio, leads to robust conclusions on the predictability exercise across different sample periods. This suggests that one important source of debate around the relationship between the market portfolio return and idiosyncratic volatility is precisely related to inconsistent choices on the weighting scheme.

Keywords: Idiosyncratic volatility, cross-sectional distribution of returns, predictability of aggregate returns

JEL Classification: G10, G12

Suggested Citation

Mantilla-Garcia, Daniel and Martellini, Lionel and Garcia, René, Idiosyncratic Risk and the Cross-Section of Realized Returns: Reconciling the Aggregate Returns’ Predictability Evidence (November 16, 2009). Available at SSRN: https://ssrn.com/abstract=1572707 or http://dx.doi.org/10.2139/ssrn.1572707

Daniel Mantilla-Garcia

Universidad de Los Andes - School of Management ( email )

Bogota, Bogota D.C.
Colombia

EDHEC Risk Institute ( email )

Lille
France

Lionel Martellini

EDHEC Business School ( email )

58 rue du Port
Lille, 59046
France

René Garcia (Contact Author)

Université de Montréal - CIREQ - Département de sciences économiques ( email )

C.P. 6128, succursale Centre-Ville
3150, rue Jean-Brillant, bureau C-6027
Montreal, Quebec H3C 3J7
Canada
514-985-4014 (Phone)

University of Montreal ( email )

United States

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