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Creator: Kehoe, Timothy Jerome, 1953-, Levine, David K., and Romer, Paul Michael, 1955- Series: Working paper (Federal Reserve Bank of Minneapolis. Research Dept.) Number: 400 Abstract:
We consider a production economy with a finite number of heterogeneous, infinitely lived consumers. We show that, if the economy is smooth enough, equilibria are locally unique for almost all endowments. We do so by converting the infinite dimensional fixed point problem stated in terms of prices and commodities into a finite dimensional Negishi problem involving individual weights in a social value function. By adding a set of artificial fixed factors to utility and production functions, we can write the equilibrium conditions equating spending and income for each consumer entirely in terms of time zero factor endowments and derivatives of the social value function.
Mot-clé: Equilibrium, Consumer, and Dynamic model Assujettir: C62 - Mathematical methods and programming - Existence and stability conditions of equilibrium
Creator: Erceg, Christopher J. and Levin, Andrew T. (Andrew Theo) Series: Joint commitee on business and financial analysis Abstract:
The durable goods sector is much more interest sensitive than the non-durables sector, and these sectoral differences have important implications for monetary policy. In this paper, we perform VAR analysis of quarterly US data and find that a monetary policy innovation has a peak impact on durable expenditures that is roughly five times as large as its impact on non-durable expenditures. We then proceed to formulate and calibrate a two-sector dynamic general equilibrium model that roughly matches the impulse response functions of the data. We derive the social welfare function and show that the optimal monetary policy rule responds to sector-specific inflation rates and output gaps. We show that some commonlyprescribed policy rules perform poorly in terms of social welfare, especially rules that put a higher weight on inflation stabilization than on output gap stabilization. By contrast, it is interesting that certain rules that react only to aggregate variables, including aggregate output gap targeting and rules that respond to a weighted average of price and wage inflation, may yield a welfare level close to the optimum given a typical distribution of shocks.
Mot-clé: Monetary policy, Consumer, Business cycles, Durable goods, and Social welfare Assujettir: E31 - Prices, business fluctuations, and cycles - Price level ; Inflation ; Deflation, E52 - Monetary policy, central banking, and the supply of money and credit - Monetary policy, and E32 - Prices, business fluctuations, and cycles - Business fluctuations ; Cycles