Abstract
This paper examines the stock market returns and volatility relationship using US daily returns from May 26, 1952 to September 29, 2006. The empirical evidence reported here does not support the proposition that the return-volatility relationship is present and the same for each day of the week.
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Notes
One may visit Campbell and Cochrane (1999) and the references cited therein for the literature on habit formation.
During the period prior to May 1952, the number of trading days in a week was six: Monday through Saturday. Thus, in order to incorporate the same pattern for the day-of-the-week effect, we start our sample from May of 1952.
The final prediction error criteria (FPEC) are used to determine the optimum lag order n. FPEC determines the lag length such that it eliminates autocorrelation in the residual term. If we have autocorrelated residuals, ARCH-LM tests would suggest the presence of the residual term with heteroscedasticity even if the residuals were homoscedastic (see Cosimano and Dennis 1988).
Pagan (1984) argues that using stochastic regressors gives biased estimates. In order to avoid this, queryPagan and Ulah (1988) suggest using the Full Information Maximum Likelihood Estimation (MLE) technique to estimate the system of equations. queryBollerslev and Wooldridge (1992), however, argue that the normality of the standardized conditional errors \( {{{\varepsilon_t}} \mathord{\left/{\vphantom {{{\varepsilon_t}} {{h_t}}}} \right.} {{h_t}}} \) assumption may cause misspecification of the likelihood function and they suggest using the QMLE method to avoid the misspecification problem. Bollerslev and Wooldrige formally show that the QMLE is generally consistent and has a limited distribution.
The level of significance is 5% unless otherwise specified
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We would like to thank anonymous referee, Anita Akkas and Rana Nelson for their helpful comments.
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Berument, M.H., Dogan, N. Stock market return and volatility: day-of-the-week effect. J Econ Finan 36, 282–302 (2012). https://doi.org/10.1007/s12197-009-9118-y
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DOI: https://doi.org/10.1007/s12197-009-9118-y