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On the Relation between EGARCH Idiosyncratic Volatility and Expected Stock Returns

Hui Guo, Haimanot Kassa and Michael F. Ferguson

Journal of Financial and Quantitative Analysis, 2014, vol. 49, issue 1, 271-296

Abstract: A spurious positive relation between exponential generalized autoregressive conditional heteroskedasticity (EGARCH) estimates of expected month t idiosyncratic volatility and month t stock returns arises when the month t return is included in estimation of model parameters. We illustrate via simulations that this look-ahead bias is problematic for empirically observed degrees of stock return skewness and typical monthly return time series lengths. Moreover, the empirical idiosyncratic risk-return relation becomes negligible when expected month t idiosyncratic volatility is estimated using returns only up to month t − 1.

Date: 2014
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