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Working Paper
Two pitfalls of linearization methods
This paper illustrates two types of pitfalls in using linearization methods. First, if constraints are linearized before deriving optimality conditions, the derived conditions are not correct up to first order. Second, even when the behavior of the economy is correct to the first order, applying this behavior to welfare implications may lead to incorrect results.
Working Paper
Patience, persistence and welfare costs of incomplete markets in open economies
In this paper, we investigate the welfare implications of alternative financial market structures in a two-country endowment economy model. In particular, we obtain an analytic expression for the expected lifetime utility of the representative household when sovereign bonds are the only internationally traded asset, and we compare this welfare level with that obtained under complete asset markets. The welfare cost of incomplete markets is negligible if agents are very patient and shocks are not very persistent, but this cost is dramatically larger if agents are relatively impatient and shocks ...
Working Paper
Interpreting investment-specific technology shocks
Investment-specific technology (IST) shocks are often interpreted as multi-factor productivity (MFP) shocks in a separate investment-producing sector. However, this interpretation is strictly valid only when some stringent conditions are satisfied. Some of these conditions are at odds with the data. Using a two-sector model whose calibration is based on the U.S. Input-Output Tables, we consider the implications of relaxing several of these conditions. In particular, we show how the effects of IST shocks in a one-sector model differ from those of MFP shocks to an investment-producing sector of ...
Working Paper
Designing a simple loss function for the Fed: does the dual mandate make sense?
Variable and high rates of price inflation in the 1970s and 1980s led many countries to delegate the conduct of monetary policy to "instrument-independent" central banks and to give their central banks a clear mandate to pursue price stability and instrument independence to achieve it. Advances in academic research supported a strong focus on price stability as a means to enhance the independence and credibility of monetary policymakers. An overwhelming majority of these central banks also adopted an explicit inflation target to further strengthen credibility and facilitate accountability. ...
Working Paper
Calculating and using second order accurate solutions of discrete time dynamic equilibrium models
We describe an algorithm for calculating second order approximations to the solutions to nonlinear stochastic rational expectation models. The paper also explains methods for using such an approximate solution to generate forecasts, simulated time paths for the model, and evaluations of expected welfare differences across different versions of a model. The paper gives conditions for local validity of the approximation that allow for disturbance distributions with unbounded support and allow for non-stationarity of the solution process.
Working Paper
Exact utilities under alternative monetary rules in a simple macro model with optimizing agents
We construct an optimizing-agent model of a closed economy which is simple enough that we can use it to make exact utility calculations. There is a stabilization problem because there are one-period nominal contracts for wages, or prices, or both and shocks that are unknown at the time when contracts are signed. We evaluate alternative monetary policy rules using the utility function of the representative agent. Fully optimal policy can attain the Pareto-optimal equilibrium. Fully optimal policy is contrasted with both 'naive' and 'sophisticated' simple rules that involve, respectively, ...
Working Paper
Interpreting Shocks to the Relative Price of Investment with a Two-Sector Model
Consumption and investment comove over the business cycle in response to shocks that permanently move the price of investment. The interpretation of these shocks has relied on standard one-sector models or on models with two or more sectors that can be aggregated. However, the same interpretation continues to go through in models that cannot be aggregated into a standard one-sector model. Furthermore, such a two-sector model with distinct factor input shares across production sectors and commingling of sectoral outputs in the assembly of final consumption and investment goods, in line with ...
Working Paper
Monetary policy in a stochastic equilibrium model with real and nominal rigidities
A dynamic stochastic general-equilibrium (DSGE) model with real and nominal rigidities succeeds in capturing some key nominal features of U.S. business cycles. Additive technology shocks, as well as multiplicative shocks, are introduced. Monetary policy is specified following the developments in the structural vector autoregression (VAR) literature. Interaction between real and nominal rigidities is essential to reproduce the liquidity effect of monetary policy. The model is estimated by maximum likelihood on U.S. data, and its fit is comparable to that of an unrestricted first-order VAR. ...
Working Paper
Inflation targeting and nominal income growth targeting: when and why are they suboptimal?
We derive optimal monetary stabilization rules and compare them to simple rules under both full and partial information. The nominal interest rate is the instrument of monetary policy. Special attention is devoted to inflation targeting and nominal-income-growth targeting.> We use an optimizing-agent model of a closed economy which features monopolistic competition in both product and labor markets. A stabilization problem exists because there are one-period nominal contracts, either for wages alone or for both wages and prices, and three shocks that are unknown when contracts are signed. In ...
Working Paper
Three sources of increasing returns to scale
This paper reviews various types of increasing returns from a critical perspective. Increasing returns have been introduced in a monopolistic-competition model both at the firm level and at the aggregate level. We show that the degree of the aggregate returns to scale is a linear combination of three return parameters, with the weights determined by the specification of a zero-profit condition. Identification issues are discussed with an emphasis on recent macro literature. We argue that disaggregate data give information on the market structure rather than the technology. Welfare ...