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Government spending at the zero lower bound (ZLB) is not necessarily welfare enhancing, even when its output multiplier is large. We illustrate this point in the context of a standard New Keynesian model. In that model, when government spending provides direct utility to the household, its optimal level is at most 0.5-1 percent of GDP for recessions of -4 percent; the numbers are higher for deeper recessions. When spending does not provide direct utility, it is generically welfare-detrimental: it should be kept unchanged at a long run-optimal value.

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This paper studies the role of endogenous producer entry and product creation for monetary policy analysis and business cycle dynamics in a general equilibrium model with imperfect price adjustment. Optimal monetary policy stabilizes product prices, but lets the consumer price index vary to accommodate changes in the number of available products. The free entry condition links the price of equity (the value of products) with marginal cost and markups, and hence with inflation dynamics. No-arbitrage between bonds and equity links the expected return on shares, and thus the financing of product creation, with the return on bonds, affected by monetary policy via interest rate setting. This new channel of monetary policy transmission through asset prices restores the Taylor Principle in the presence of capital accumulation (in the form of new production lines) and forward-looking interest rate setting, unlike in models with traditional physical capital. We also study the implications of endogenous variety for the New Keynesian Phillips curve and business cycle dynamics more generally, and we document the effects of technology, deregulation, and monetary policy shocks, as well as the second moment properties of our model, by means of numerical examples.

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We quantify the connection between inequality and business cycles in a medium-scale New Keynesian model with tractable household heterogeneity, estimated with aggregate and cross-sectional data. We find that inequality substantially amplifies cyclical fluctuations. The primary source of this amplification is cyclical precautionary saving behavior. Savers reduce their consumption to insure themselves against the idiosyncratic risk of large income drops, which rises in recessions.

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Amidst the recent resurgence of inflation, this paper investigates the interplay of corporate profits and income distribution in shaping inflation and aggregate demand within the New Keynesian framework. We derive a novel analytical condition for profits to be procyclical and inflationary. Furthermore, we show that the cyclicality of profits is a key determinant of the propagation properties of these models under household heterogeneity, but there is a catch: for aggregate-demand fluctuations and inflation to be amplified by heterogeneity, profits have to be countercyclical--an implication that is at odds with the data. Adding physical capital investment to the model can resolve this conundrum, generating aggregate-demand amplification even under procyclical profits. However, the amplification works through an investment channel and not through profits, inconsistent with the narrative attributing elevated inflation to corporate greed.