Table 4: Regressions on Δ (log(S&P500)).

Sample 1959M02-2013M11 1960M03-2013M11 1960M01-1974M09 1974M09-2013M11
Sample size 658 645 177 470
Conditional Mean Equation
Constant -0.002250 (0.091039) 0.010429 (0.419404) -0.329109 (1.630633) 0.027721 (0.948800)
Coefficient on Δ (k) -57.55116 (5.919235) -58.49463 (6.027658) -106.8678 (3.596729) -50.15454 (3.979532)
Coefficient on Δ (log(RDISP)) 0.492012 (2.506669) 0.513472 (2.662880) 1.238019 (3.399841) 0.434178 (1.913317)
Coefficient on the log of the conditional variance -0.000493 (0.261775) 0.000108 (0.057974) -0.026115 (1.640503) 0.001664 (0.762501)
Coefficient on theaverage three lagged Δ (log( MS )) -0.870980 (3.490217)
Conditional Variance Equation
constant 0.0000853 (2.087295) 0.0000741 (2.140414) 0.00050 (1.870108)
RESID(-1)^2 0.119727 (4.101400) 0.138236 (4.670643)
GARCH(-1) 0.838738 (17.57738) 0.828712 (20.00059) 0.724423 (5.190936)
Adjusted R-Square 0.058237 0.067644 0.158088 0.049992
Log likelihood 1185.084 1164.610 340.4545 812.1475
Durbin-Watson statistic 2.009189 2.028805 1.860781 2.001107
Akaike Information criterion -3.580801 -3.586389 -3.801745 -3.430415
Schwarz information criterion -3.533043 -3.530956 -3.729968 -3.377401
Hannan-Quinn information criterion -3.562287 -3.564880 -3.772635 -3.409558

Notes: See notes under Tables 1 and 2. Newey-West heteroscedasticity and autocorrelation consistent (HAC) standard errors and covariance are computed for the regressions without a conditional variance equation. Bollerslev-Wooldridge robust standard errors and covariance are computed for the regressions with a conditional variance equation.