\newlength\LiqConstrScenariosWidth
\newsavebox{\LiqConstrScenarios}

\begin{table}[b]
\begin{center}
\caption{Taxonomy of Liquidity Constrained Model Outcomes}\label{table:LiqConstrScenarios}
\sbox{\LiqConstrScenarios}{
\begin{tabular}{|l|rcl|l|}\hline
Name & \multicolumn{3}{c|}{Condition}             & Outcome/Comments % & Example
\\ \hline
\cancel{PF-GIC}      & $\phantom{\Pat/\Rfree}$ & $\phantom{~<~}1        {~<~}$ & $        {\Pat/\PGro}$  & Constraint never binds for $\mRat \geq 1$ %& %$\{\Pat,\PGro\}=\{1,0.98\}$
\\ ~~~~RIC           & $        {\Pat/\Rfree}$ & $        {~<~}1\phantom{~<~}$ & $\phantom{\Pat/\PGro}$  & ~~FHWC holds ($\Rfree > \PGro$) % & $\{\Rfree,\Discount, \PGro \} = $
\\ ~~~~              &                         &                               &                         & ~~$\mathring{\cFunc}(\mRat) = \bar{\cFunc}(\mRat)$ for $\mRat \geq 1$ % & ~~$\{1.02,1.02^{-1},0.98\}$
\\ ~~~~\cancel{RIC}   & $\phantom{\Pat/\Rfree}$ & $\phantom{~<~}1        {~<~}$ & $        {\Pat/\Rfree}$ & ~~$\mathring{\cFunc}(\mRat)$ is degenerate %&
%\\ ~~~~               &                         &                               &                         &                                                            &
%\\ ~~~~~~\cancel{FHWC}& $        {\Rfree/\PGro}$ & $      {~<~}1        {~<~}$ & $        {\PGro/\Rfree}$ & $1 < \Pat/\Rfree < \Pat/\PGro$ & $\{\Rfree,\Discount, \PGro,\CRRA \} = $
%\\ ~~~~~~             &                          &                             &                          &                                & $~~\{0.98,1.00, 0.97,2 \} $
%\\ ~~~~~~        FHWC & $        {\PGro/\Rfree}$ & $      {~<~}1        {~<~}$ & $        {\Rfree/\PGro}$ & $1 < \Pat/\Rfree < \Pat/\PGro$ & $\{\Rfree,\Discount, \PGro,\CRRA \} = $
%\\ ~~~~~~             &                          &                             &                          &                                & $~~\{0.98,1.00, 0.97,2 \} $
\\ PF-GIC             & $        {\Pat/\PGro}$ & $        {~<~}1\phantom{~<~}$ & $\phantom{\Pat/\Rfree}$  & Constraint binds in finite time for any $\mRat$ % &
\\ ~~~~RIC            & $        {\Pat/\Rfree}$  & $      {~<~}1\phantom{~<~}$ & $\phantom{\Pat/\PGro}$   & ~~FHWC may or may not hold
\\ ~~~~               &                          &                             &                          & ~~$\lim_{m \uparrow \infty}\bar{\cFunc}(\mRat) - \mathring{\cFunc}(\mRat) = 0$ % & ~~$\{1.02,1.02^{-1},1.02\}$
\\ ~~~~               &                          &                             &                          & ~~$\lim_{m \uparrow \infty}\mathring{\MPCFunc}(\mRat) = \MinMPC$ % & ~~$\{1.02,1.02^{-1},1.02\}$
\\ ~~~~\cancel{RIC}   &                          & $\phantom{~<~}1         ~<~ $ & $         \Pat/\Rfree$ & ~~\cancel{FHWC}
\\ ~~~~~~             &                          &                             &                          &~~$\lim_{\mRat \uparrow \infty} \mathring{\MPCFunc}(\mRat) =  0$               % & ~~$\{0.98,1.00, 0.99, 2\} $
%\ ~~~~               &                          &                             &                          & ~~$\lim_{m \uparrow \infty}\bar{\cFunc}(\mRat) - \mathring{\cFunc}(\mRat) = 0$ % & ~~$\{1.02,1.02^{-1},1.02\}$
%\ ~~~~               &                          &                             &                          & ~~$\lim_{m \uparrow \infty}\mathring{\MPCFunc}(\mRat) = \MinMPC$ % & ~~$\{1.02,1.02^{-1},1.02\}$
%\ ~~~~FHWC           & $        {\PGro/\Rfree}$ & $      {~<~}1        {~<~}$ & $        {\Rfree/\PGro}$ & ~~RIC holds
%\ ~~~~\cancel{FHWC}  & $        {\Rfree/\PGro}$ & $      {~<~}1        {~<~}$ & $        {\PGro/\Rfree}$ & ~~$\mathring{\cFunc}(\mRat)$ nondegenerate % &
%\ ~~~~~~ RIC         & $        {\Pat/\Rfree} $ & $      {~<~}1\phantom{~<~}$ & $\phantom{\PGro/\Rfree}$ &~~~~$\lim_{m \uparrow \infty}\bar{\cFunc}(\mRat) - \mathring{\cFunc}(\mRat) = 0$ % & $\{\Rfree,\Discount, \PGro, \CRRA\}= $
%\ ~~~~~~             &                          &                             &                          &~~~~$\lim_{\mRat \uparrow \infty} \mathring{\MPCFunc}(\mRat) =  \MinMPC$ % & ~~$\{1.02,1.02^{-1},1.03,2\} $
%\ ~~~~~~ \cancel{RIC}& $\phantom{\Pat/\Rfree} $ & $\phantom{~<~}1      {~<~}$ & $        {\Pat/\Rfree}$  &~~~~$\lim_{\mRat \uparrow \infty} \mathring{\MPCFunc}(\mRat) =  0$               % & ~~$\{0.98,1.00, 0.99, 2\} $
\\ \hline
\end{tabular}
} % End \sbox

\settowidth\LiqConstrScenariosWidth{\usebox{\LiqConstrScenarios}}
\usebox{\LiqConstrScenarios}
\parbox{\LiqConstrScenariosWidth}{\footnotesize Conditions are applied from left to right; for example, the second and third rows indicate conclusions in the case where \cancel{PF-GIC} and RIC both hold, while the fourth row indicates that when the PF-GIC and the RIC both fail, the consumption function is degenerate; the next row indicates that whenever the PF-GIC holds, the constraint will bind in finite time.}

\medskip
\end{center}
\end{table}


