Added week 12 workflow and improved solutions

.github/workflows/matlab.yml

@@ -98,4 +98,10 @@ jobs:
         with:
           command: |
             cd("progs/matlab")
-            BayesianQuarterlyInflation
+            BayesianQuarterlyInflation
+      - name: Run week 12 scripts
+        uses: matlab-actions/run-command@v1
+        with:
+          command: |
+            cd("progs/matlab")
+            BVARZLB_run

exercises/bayesian_estimation_var_zlb.tex

@@ -23,7 +23,9 @@
 \item Initialize the first draw of the covariance matrix with OLS values.
 \item Draw 40000 times from the conditional posteriors
 \begin{align*}
-p(vec(A)|\Sigma,Y) \sim N(a_1,V_1)$$ and $$p(\Sigma|vec(A),Y) \sim IW(v_1, S_1)
+&p(vec(A)|\Sigma,Y) \sim N(a_1,V_1)
+\\
+&p(\Sigma|vec(A),Y) \sim IW(v_1, S_1)
 \end{align*}
 where
 \begin{align*}

exercises/bayesian_estimation_var_zlb_solution.tex

@@ -1 +1,4 @@
+\lstinputlisting[style=Matlab-editor,basicstyle=\mlttfamily,title=\lstname]{progs/matlab/BVARZLB_run.m}
+Run the main script by setting the option to false for the first part and to true for the second part.
+The main script might look like this:
 \lstinputlisting[style=Matlab-editor,basicstyle=\mlttfamily,title=\lstname]{progs/matlab/BVARZLB.m}