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[cagan_adaptive] update suggestions (#516)
* [cagan_adaptive] update suggestions Dear John, This pull request is to update the last comment from #392. In particular, this pull request add the explanation for the parameter $\alpha$ and $\lambda$. Best, Longye * Update cagan_adaptive.md
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lectures/cagan_adaptive.md

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This equation asserts that the demand for real balances
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is inversely related to the public's expected rate of inflation.
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is inversely related to the public's expected rate of inflation with sensitivity $\alpha$.
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Equating the logarithm $m_t^d$ of the demand for money to the logarithm $m_t$ of the supply of money in equation {eq}`eq:caganmd_ad` and solving for the logarithm $p_t$
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of the price level gives
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$$ (eq:eqpipi)
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We assume that the expected rate of inflation $\pi_t^*$ is governed
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by the following adaptive expectations scheme proposed by {cite}`Friedman1956` and {cite}`Cagan`:
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by the following adaptive expectations scheme proposed by {cite}`Friedman1956` and {cite}`Cagan`, where $\lambda\in [0,1]$ denotes the weight on expected inflation.
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$$
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\pi_{t+1}^* = \lambda \pi_t^* + (1 -\lambda) \pi_t

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