The day‐of‐the‐week effect and conditional volatility: Sensitivity of error distributional assumptions

Abstract

Abstract We test for reliable evidence of the day‐of‐the‐week effect on both the mean and volatility for the S&P/TSX Canadian return index. Unlike previous studies, we permit several specifications for the error distribution — GARCH normal, Student's t , generalized error distribution, and double exponential distribution. Unlike other studies, we find that the day‐of‐the‐week effect in both mean and conditional volatility is sensitive to the particular specification of the underlying distributions. We also find that using a regression analysis assuming a Student's t distribution is a better way to investigate this effect. Our evidence demonstrates the apparent fragility of previous empirical studies on calendar anomalies. Thus, our results serve as a warning that with financial data, the error distributional assumptions are critical to correctly identifying empirical regularities in the data.

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