Rf. Whitelaw, TIME VARIATIONS AND COVARIATIONS IN THE EXPECTATION AND VOLATILITY OFSTOCK-MARKET RETURNS, The Journal of finance, 49(2), 1994, pp. 515-541
This article investigates empirically the comovements of the condition
al mean and volatility of stock returns. It extends the results in the
literature by demonstrating the role of the commercial paper-Treasury
yield spread in predicting time variation in volatility. The conditio
nal mean and volatility exhibit an asymmetric relation, which contrast
s with the contemporaneous relation that has been tested previously. T
he volatility leads the expected return, and this time series relation
is documented using offset correlations,short-horizon contemporaneous
correlations, and a vector autoregression. These results bring into q
uestion the value of modeling expected returns as a constant function
of conditional volatility.