# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.

$key = q/{_inline}$(alpha,beta,sigma^2)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=69 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline97" SRC="img11.gif"  > '; 
$key = q/{_inline}$(I-betaL)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=68 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline131" SRC="img20.gif"  > '; 
$key = q/{displaymath}sigma^2_yequivmboxvar(y_t)=mboxvar(y_s)eqno(8){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=476 HEIGHT=25 ALIGN=BOTTOM ALT="displaymath173" SRC="img28.gif"  > '; 
$key = q/{_inline}$p(y_t+1|y_t)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=75 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline95" SRC="img10.gif"  > '; 
$key = q/{displaymath}sigma^2_y=mboxvar(y_t+1)=beta^2mboxvar(y_t)+sigma^2=beta^2sigma^2_y+sigma^2=sigma^2over(1-beta^2).eqno(11){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=593 HEIGHT=47 ALIGN=BOTTOM ALT="displaymath189" SRC="img31.gif"  > '; 
$key = q/{_inline}$sigma^2_y=sigma^2(1-beta^2)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=135 HEIGHT=33 ALIGN=MIDDLE ALT="tex2html_wrap_inline195" SRC="img33.gif"  > '; 
$key = q/{_inline}$Pr{y_tinC;mboxi.o.}=1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=158 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline107" SRC="img12.gif"  > '; 
$key = q/{_inline}$tnes${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=40 HEIGHT=29 ALIGN=MIDDLE ALT="tex2html_wrap_inline81" SRC="img7.gif"  > '; 
$key = q/{_inline}$M(t)=E{exp(ttildeX)}=exp(mut+t^2sigma^22)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=326 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline171" SRC="img27.gif"  > '; 
$key = q/{_inline}$sigma^2(1-beta^2)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=91 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline119" SRC="img15.gif"  > '; 
$key = q/{_inline}$Iy_t=y_t${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=63 HEIGHT=27 ALIGN=MIDDLE ALT="tex2html_wrap_inline125" SRC="img18.gif"  > '; 
$key = q/{_inline}$sigma^2${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=16 HEIGHT=16 ALIGN=BOTTOM ALT="tex2html_wrap_inline75" SRC="img4.gif"  > '; 
$key = q/{_inline}$tildeXsimN(mu,sigma^2)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=110 HEIGHT=37 ALIGN=MIDDLE ALT="tex2html_wrap_inline169" SRC="img26.gif"  > '; 
$key = q/{_inline}${y_t}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=31 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline67" SRC="img1.gif"  > '; 
$key = q/{displaymath}(I-betaL)y_t+1=alpha+epsilon_teqno(3){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=475 HEIGHT=19 ALIGN=BOTTOM ALT="displaymath123" SRC="img17.gif"  > '; 
$key = q/{displaymath}mu_yequivE{y_t}=E{y_s}eqno(9){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=473 HEIGHT=21 ALIGN=BOTTOM ALT="displaymath179" SRC="img29.gif"  > '; 
$key = q/{_inline}$y_t${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=13 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline89" SRC="img9.gif"  > '; 
$key = q/{_inline}$epsilon_s${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=12 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline79" SRC="img6.gif"  > '; 
$key = q/{_inline}$epsilon_t${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=11 HEIGHT=18 ALIGN=MIDDLE ALT="tex2html_wrap_inline77" SRC="img5.gif"  > '; 
$key = q/{_inline}$alpha(1-beta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=77 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline117" SRC="img14.gif"  > '; 
$key = q/{_inline}$epsilon_tsimN(0,sigma^2)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=103 HEIGHT=32 ALIGN=MIDDLE ALT="tex2html_wrap_inline85" SRC="img8.gif"  > '; 
$key = q/{displaymath}mboxvar(y_t+1)=mboxvarleft[sum_i=0^inftybeta^tepsilon_t-iright]=sum_i=0^inftybeta^2isigma^2=sigma^2over(1-beta^2).eqno(6){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=568 HEIGHT=50 ALIGN=BOTTOM ALT="displaymath145" SRC="img23.gif"  > '; 
$key = q/{displaymath}p(y)=sqrt(1-beta^2)oversqrt2pisigmaexpleft{-(1-beta^2)(y-alpha(1-beta))^2over2sigma^2right}.eqno(2){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=581 HEIGHT=55 ALIGN=BOTTOM ALT="displaymath113" SRC="img13.gif"  > '; 
$key = q/{_inline}$NBig(alpha(1-beta),sigma^2(1-beta^2)Big)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=216 HEIGHT=39 ALIGN=MIDDLE ALT="tex2html_wrap_inline159" SRC="img24.gif"  > '; 
$key = q/{_inline}$Ly_t=y_t-1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=82 HEIGHT=26 ALIGN=MIDDLE ALT="tex2html_wrap_inline127" SRC="img19.gif"  > '; 
$key = q/{displaymath}p(y')=int^+infty_-inftyp(y'|y)p(y)dy.eqno(7){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=486 HEIGHT=39 ALIGN=BOTTOM ALT="displaymath165" SRC="img25.gif"  > '; 
$key = q/{_inline}${epsilon_t}${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=30 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline71" SRC="img3.gif"  > '; 
$key = q/{displaymath}y_t+1=alpha+betay_t+epsilon_teqno(1){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=469 HEIGHT=19 ALIGN=BOTTOM ALT="displaymath69" SRC="img2.gif"  > '; 
$key = q/{_inline}$mu_y=alpha(1-beta)${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=123 HEIGHT=31 ALIGN=MIDDLE ALT="tex2html_wrap_inline193" SRC="img32.gif"  > '; 
$key = q/{displaymath}y_t+1=sum_i=0^infty(betaL)^i(alpha+epsilon_t)=alphaover(1-beta)+sum_i=0^inftybeta^iepsilon_t-ieqno(5){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=547 HEIGHT=47 ALIGN=BOTTOM ALT="displaymath137" SRC="img22.gif"  > '; 
$key = q/{displaymath}y_t+1=[I-betaL]^-1(alpha+epsilon_t).eqno(4){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=483 HEIGHT=22 ALIGN=BOTTOM ALT="displaymath133" SRC="img21.gif"  > '; 
$key = q/{displaymath}mu_y=E{y_t+1}=alpha+betaE{y_t}=alpha+betamu_y=alphaover(1-beta),eqno(10){displaymath}/;
$cached_env_img{$key} = ' <IMG WIDTH=570 HEIGHT=40 ALIGN=BOTTOM ALT="displaymath187" SRC="img30.gif"  > '; 
$key = q/{_inline}$|beta|;SPMlt;1${_inline}/;
$cached_env_img{$key} = ' <IMG WIDTH=53 HEIGHT=30 ALIGN=MIDDLE ALT="tex2html_wrap_inline121" SRC="img16.gif"  > '; 

1;

