Cross-sectional variance shown to be good proxy for Idiosyncratic volatility and expected returns

Research shows the cross-sectional variance is a good proxy for the idiosyncratic variance obtained from the CAPM or the Fama-French models and does has a positive relationship with expected returns.

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The recent academic literature in finance has paid considerable attention to idiosyncratic volatility. Campbell et al (2001) and Malkiel and Xu (2002) document that idiosyncratic volatility increased over time. Brandt et al (2009) show that this trend completely reversed itself by 2007, falling below pre-1990s levels.

This suggests the increase in idiosyncratic volatility through the 1990s was not a time trend but rather an “episodic phenomenon”. Bekaert et al (2008) confirm there is no trend for

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