Lr. Glosten et al., ON THE RELATION BETWEEN THE EXPECTED VALUE AND THE VOLATILITY OF THE NOMINAL EXCESS RETURN ON STOCKS, The Journal of finance, 48(5), 1993, pp. 1779-1801
We find support for a negative relation between conditional expected m
onthly return and conditional variance of monthly return, using a GARC
H-M model modified by allowing (1) seasonal patterns in volatility, (2
) positive and negative innovations to returns having different impact
s on conditional volatility, and (3) nominal interest rates to predict
conditional variance. Using the modified GARCH-M model, we also show
that monthly conditional volatility may not be as persistent as was th
ought. Positive unanticipated returns appear to result in a downward r
evision of the conditional volatility whereas negative unanticipated r
eturns result in an upward revision of conditional volatility.