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lectures/unpleasant.md

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This lecture builds on concepts and issues introduced in our lecture on **Money Supplies and Price Levels**.
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That lecture describes stationary equilibria that reveal a [**Laffer curve**](https://en.wikipedia.org/wiki/Laffer_curve) in the inflation tax rate and the associated stationary rate of return
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That lecture describes stationary equilibria that reveal a [*Laffer curve*](https://en.wikipedia.org/wiki/Laffer_curve) in the inflation tax rate and the associated stationary rate of return
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on currency.
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In this lecture we study a situation in which a stationary equilibrium prevails after date $T > 0$, but not before then.
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Here, by **fiscal policy** we mean the collection of actions that determine a sequence of net-of-interest government deficits $\{g_t\}_{t=0}^\infty$ that must be financed by issuing to the public either money or interest bearing bonds.
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By **monetary policy** or **debt-management policy**, we mean the collection of actions that determine how the government divides its portolio of debts to the public between interest-bearing parts (government bonds) and non-interest-bearing parts (money).
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By **monetary policy** or *debt-management policy*, we mean the collection of actions that determine how the government divides its portolio of debts to the public between interest-bearing parts (government bonds) and non-interest-bearing parts (money).
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By an **open market operation**, we mean a government monetary policy action in which the government
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(or its delegate, say, a central bank) either buys government bonds from the public for newly issued money, or sells bonds to the public and withdraws the money it receives from public circulation.
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To compute an equilibrium, we deploy the following algorithm.
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Given **parameters** include $g, \check m_0, \check B_{-1}, \widetilde R >1, T $.
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Given *parameters* include $g, \check m_0, \check B_{-1}, \widetilde R >1, T $.
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We define a mapping from $p_0$ to $\widehat p_0$ as follows.
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* The lower is the post-open-market-operation money supply at time $0$, lower is the price level at time $0$.
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* An open market operation that reduces the post-open-market-operation money supply at time $0$ also *lowers* the rate of return on money $R_u$ at times $t \geq T$ because it brings a higher gross-of-interest government deficit that must be financed by printing money (i.e., levying an inflation tax) at time $t \geq T$.
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* An open market operation that reduces the post open market operation money supply at time $0$ also *lowers* the rate of return on money $R_u$ at times $t \geq T$ because it brings a higher gross of interest government deficit that must be financed by printing money (i.e., levying an inflation tax) at time $t \geq T$.
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* $R$ is important in the context of maintaining monetary stability and addressing the consequences of increased inflation due to government deficits. Thus, a larger $R$ might be chosen to mitigate the negative impacts on the real rate of return caused by inflation.

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