\begin{eqnarray}
    \beta \Rfree \PGro^{-\CRRA} \tilde{\pShk}^{1-\CRRA}  & < & \Rfree/\PGro \nonumber
%\\  (\beta \Rfree)^{1/\CRRA} \PGro^ \tilde{\pShk})^{1-\CRRA}  & < & \Rfree \nonumber
\\ \PatPGro \tilde{\pShk}^{1/\CRRA-1} & < & (\Rfree/\PGro)^{1/\CRRA} \label{eq:FVACAlt}.
\end{eqnarray}
