diff --git a/doc/dynare.texi b/doc/dynare.texi
index 4c2b2efe9fcd02a0a279d89368b44fa3f0211b47..cb1629f213cdac0cc9ba3ae872c145094d8b728f 100644
--- a/doc/dynare.texi
+++ b/doc/dynare.texi
@@ -4261,7 +4261,7 @@ option @code{moments_varendo} to be specified.
 @item filtered_vars
 @vindex oo_.FilteredVariables
 @anchor{filtered_vars} Triggers the computation of the posterior
-distribution of filtered endogenous variables and shocks. Results are
+distribution of filtered endogenous variables/one-step ahead forecasts, i.e. @math{E_{t}{y_{t+1}}}. Results are
 stored in @code{oo_.FilteredVariables} (see below for a description of
 this variable)
 
@@ -4271,12 +4271,10 @@ this variable)
 @vindex oo_.SmoothedMeasurementErrors
 @vindex oo_.UpdatedVariables
 @anchor{smoother} Triggers the computation of the posterior distribution
-of smoothered endogenous variables and shocks. Results are stored in
+of smoothered endogenous variables and shocks, i.e. the expected value of variables and shocks given the information available in all observations up to the @emph{final} date (@math{E_{T}{y_t}}). Results are stored in
 @code{oo_.SmoothedVariables}, @code{oo_.SmoothedShocks} and
 @code{oo_.SmoothedMeasurementErrors}.  Also triggers the computation of
-@code{oo_.UpdatedVariables}, which contains the estimation of the
-expected value of variables given the information available at the
-@emph{current} date.  See below for a description of all these
+@code{oo_.UpdatedVariables}, which contains the estimation of the expected value of variables given the information available at the @emph{current} date (@math{E_{t}{y_t}}).  See below for a description of all these
 variables.
 
 @item forecast = @var{INTEGER}
diff --git a/matlab/prior_posterior_statistics.m b/matlab/prior_posterior_statistics.m
index 8eb763508dc2e3ca23cce4f1ab0388f0688fefc2..625f10e00c77df5f6b01f04d9efc2a16679e1fdb 100644
--- a/matlab/prior_posterior_statistics.m
+++ b/matlab/prior_posterior_statistics.m
@@ -301,7 +301,7 @@ if options_.filtered_vars
         '',varlist,M_.endo_names_tex,M_.endo_names,...
         varlist,'UpdatedVariables',DirectoryName, ...
         '_update');
-    pm3(endo_nbr,gend+1,ifil(4),B,'One step ahead forecast',...
+    pm3(endo_nbr,gend+1,ifil(4),B,'One step ahead forecast (filtered variables)',...
         '',varlist,M_.endo_names_tex,M_.endo_names,...
         varlist,'FilteredVariables',DirectoryName,'_filter_step_ahead');
 end