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Fix typos in stationarization.md
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rickecon committed Sep 5, 2024
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4 changes: 2 additions & 2 deletions docs/book/content/theory/stationarization.md
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Expand Up @@ -145,7 +145,7 @@ The usual definition of equilibrium would be allocations and prices such that ho
(SecStnrzFirms)=
## Stationarized Firms Equations

The nonstationary production function {eq}`EqFirmsCESprodfun` for each industry can be stationarized by dividing both sides by $e^{g_y t}\tilde{N}$. This stationarizes output $\hat{Y}_{m,t}$ on the left-hand-side. Because the general CES production function is homogeneous of degree 1, $F(xK,xK_g,xL) = xF(K,K_g,L)$, the right-hand-side of the production function is also stationarized by dividing by $e^{g_y t}\tilde{N}_t$.
The nonstationary production function {eq}`EqFirmsCESprodfun` for each industry can be stationarized by dividing both sides by $e^{g_y t}\tilde{N}$. This stationarizes output $\hat{Y}_{m,t}$ on the left-hand-side. Because the general CES production function is homogeneous of degree one, $F(xK,xK_g,xL) = xF(K,K_g,L)$, the right-hand-side of the production function is also stationarized by dividing by $e^{g_y t}\tilde{N}_t$.

```{math}
:label: EqStnrzCESprodfun
Expand Down Expand Up @@ -207,7 +207,7 @@ The usual definition of equilibrium would be allocations and prices such that ho

```{math}
:label: EqStnrzLiabETR
\hat{tax}_{js,t} = \tau^{etr,xy}_{s,t}\left(\hat{w}_t e_{j,s}n_{j,s,t} + r_{p,t}\hat{b}_{j,s,t}\right) + \tau^{etr,w}_t\hat{b}_{j,s,t} \quad\forall j,t \quad\text{and}\quad E+1\leq s\leq E+S
\hat{tax}_{j,s,t} = \tau^{etr,xy}_{s,t}\left(\hat{w}_t e_{j,s}n_{j,s,t} + r_{p,t}\hat{b}_{j,s,t}\right) + \tau^{etr,w}_t\hat{b}_{j,s,t} \quad\forall j,t \quad\text{and}\quad E+1\leq s\leq E+S
```

We can stationarize the simple expressions for total government spending on household transfers $TR_t$ in {eq}`EqUnbalGBCtfer` and on public goods $G_t$ in {eq}`EqUnbalGBC_Gt` by dividing both sides by $e^{g_y t}\tilde{N}_t$,
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