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diff --git a/Equations/vBegtpdefn.tex b/Equations/vBegtpdefn.tex
@@ -1,3 +1,4 @@
   \begin{equation}\begin{gathered}\begin{aligned}
         \vBegStepp({k}_{\stge+1})  & = \Ex_{\BegStepp}[\phantom{\Rfree}\vNormedPermGroFacp\null{\vFunc}_{\MidStepp}(\RNrm_{\stge+1}{k}_{\stge}+{\TranShkEmp}_{\stge+1})]  \label{eq:vFuncBegtpdefn}
+\\  {\vPBegStepp}({k}_{\stge+1})  & = \Ex_{\BegStepp}[\Rfree \PermGroFac_{\stge+1}^{\phantom{1}-\CRRA} \null{\vFunc}_{\MidStepp}^{{m}}({m}_{\stge+1})]
   \end{aligned}\end{gathered}\end{equation}
diff --git a/Equations/vEndStep.tex b/Equations/vEndStep.tex
@@ -1,3 +1,3 @@
   \begin{equation}\begin{gathered}\begin{aligned}
-\vEndStep(\aNrm_{\stge}) & = \DiscFac \vBegStepp(\underbrace{\kNrm_{\stge+1}}_{=\aNrm_{\stge}}) \label{eq:vEndStep}
+\vEndStep(\aNrm_{\stge}) & = \DiscFac \vBegStepp(\underbrace{\kNrm_{\stge+1}}_{=\aNrm_{\stge}}) \label{eq:vEndtdefn}
       \end{aligned}\end{gathered}\end{equation}
diff --git a/Equations/vEndtdefn.tex b/Equations/vEndtdefn.tex
@@ -1,3 +1,3 @@
   \begin{equation}\begin{gathered}\begin{aligned}
-    \vEndStep({a}_{\stge})  & = \DiscFac \vBegStep({a}_{\stge+1})  \label{eq:vEndtdefn}
-  \end{aligned}\end{gathered}\end{equation} 
+\vEndStep(\aNrm_{\stge}) & = \DiscFac \vBegStepp(\underbrace{\kNrm_{\stge+1}}_{=\aNrm_{\stge}}) \label{eq:vEndtdefn}
+      \end{aligned}\end{gathered}\end{equation}
diff --git a/Figures/ExtrapProblemPlot.xbb b/Figures/ExtrapProblemPlot.xbb
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