options double crt; name bg44 'TSP 4.4 GARCH(1,1) benchmark from Bollerslev-Ghysels JBES 4/96'; ? ? Below we reproduce p.146 Table 2 column 4 - GARCH(1,1) results ? B-G TSP MLNEWT1 TSP MLNEWT2 TSP MLNEWT3 ? mu -.006 -.00617319 -.00619041 -.00626932 ? (.009) (.00920255) (.00918935) (.00923712) ? omega .264 .263167 .263165 .241437 ? (.075) (.074486) (.074483) (.053175) ? alpha0 .0108 .010761 .010761 .010983 ? (.00649317) (.00649319) (.00657626) ? alpha1 .153 .153132 .153134 .148700 ? (.054) (.053533) (.053532) (.054033) ? beta1 .806 .805977 .805974 .805809 ? (.073) (.072462) (.072461) (.073853) ? LogL -1106.6 -1106.60665 -1106.60788 -1106.94851 ?-------------------- ? Notes: ? Estimators vary according to handling of initial conditions: ? ML-1: h(0) = e(0)**2 = SSR(OLS)/T ? ML-2: h(0) = e(0)**2 = SSR(mu_current_iteration)/T ? ML-3: h(0) = e(0)**2 = omega (see definition below) ? all SEs are robust (QMLE - White) ? y = Deutschmark-British Pound daily percentage nominal returns, ? 1/3/1984 - 12/31/1991 ? Obtained on 1/30/98 from ftp web.amstat.org ? jbes/View/96-2-APR/bollerslev_ghysels/bollerslev.sec41.dat ?-------------------- ? Requires TSP 4.4 dated 5/11/98 or later, which has the new ? ARCH options HINIT= , E2INIT= , HITER=N, and HCOV=W . ? by Clint Cummins smpl 1,1974; read(file='dmbp.dat') y monday; olsq(silent) y c; set h0ols = @ssr/@nob; print h0ols; arch(nar=1,nma=1,tol=1e-7,hinit=ols) y c; print @logl; arch(nar=1,nma=1,tol=1e-7) y c; print @logl; ? default hinit=ssr/T arch(nar=1,nma=1,tol=1e-7,hinit=steady) y c; print @logl;