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remark_money_inflation
Add remark admonition for money_inflation.md
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lectures/money_inflation.md

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@@ -385,13 +385,21 @@ m_t & = b_{t-1} p_t
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\end{aligned}
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$$ (eq:method1)
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**Remark 1:** method 1 uses an indirect approach to computing an equilibrium by first computing an equilibrium $\{R_t, b_t\}_{t=0}^\infty$ sequence and then using it to back out an equilibrium $\{p_t, m_t\}_{t=0}^\infty$ sequence.
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```{prf:remark}
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:label: method_1
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Method 1 uses an indirect approach to computing an equilibrium by first computing an equilibrium $\{R_t, b_t\}_{t=0}^\infty$ sequence and then using it to back out an equilibrium $\{p_t, m_t\}_{t=0}^\infty$ sequence.
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```
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**Remark 2:** notice that method 1 starts by picking an **initial condition** $R_0$ from a set $[\frac{\gamma_2}{\gamma_1}, R_u]$. Equilibrium $\{p_t, m_t\}_{t=0}^\infty$ sequences are not unique. There is actually a continuum of equilibria indexed by a choice of $R_0$ from the set $[\frac{\gamma_2}{\gamma_1}, R_u]$.
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```{prf:remark}
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:label: initial_condition
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Notice that method 1 starts by picking an **initial condition** $R_0$ from a set $[\frac{\gamma_2}{\gamma_1}, R_u]$. Equilibrium $\{p_t, m_t\}_{t=0}^\infty$ sequences are not unique. There is actually a continuum of equilibria indexed by a choice of $R_0$ from the set $[\frac{\gamma_2}{\gamma_1}, R_u]$.
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```
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**Remark 3:** associated with each selection of $R_0$ there is a unique $p_0$ described by
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```{prf:remark}
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:label: unique_selection
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Associated with each selection of $R_0$ there is a unique $p_0$ described by
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equation {eq}`eq:p0fromR0`.
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```
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### Method 2
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