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update V excess supply
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docs/book/content/theory/stationarization.md

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@@ -383,13 +383,13 @@ The stationarized version of the capital adjustment cost function and it's first
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The private capital market clearing equation {eq}`EqMarkClr_KtKdKf` is stationarized by dividing both sides by $e^{g_y t}\tilde{N}_t$, as is the expression for excess demand at the world interest rate {eq}`EqMarkClr_ExDemK` and the exogenous expression for foreign private capital flows {eq}`EqMarkClr_zetaK`.
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```{math}
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:label: EqStnrz_KtKdKf
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\hat{K}_t = \hat{K}^d_t + \hat{K}^f_t \quad\forall t \quad\text{where}\quad \hat{K_t} \equiv \sum_{m=1}^M \hat{K}_{m,t}
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:label: EqStnrz_VtVdVf
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\hat{V}_t = \hat{V}^d_t + \hat{V}^f_t \quad\forall t \quad\text{where}\quad \hat{V_t} \equiv \sum_{m=1}^M \hat{V}_{m,t}
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```
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```{math}
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:label: EqStnrz_ExDemK
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\hat{ES}^{K,r^*}_t \equiv \hat{V}^{r^*}_t - \hat{V}^d_t \quad\forall t \quad\text{where}\quad \hat{V}^{r^*}_t \equiv \sum_{m=1}^M \hat{V}^{r^*}_{m,t}
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\hat{ES}^{V,r^*}_t \equiv \hat{V}^{r^*}_t - \hat{V}^d_t \quad\forall t \quad\text{where}\quad \hat{V}^{r^*}_t \equiv \sum_{m=1}^M \hat{V}^{r^*}_{m,t}
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```
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```{math}

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