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Working Paper
The pitfalls of discretionary monetary policy.
In a canonical staggered pricing model, monetary discretion leads to multiple private sector equilibria. The basis for multiplicity is a form of policy complementarity. Specifically, prices set in the current period embed expectations about future policy, and actual future policy responds to these same prices. For a range of values of the fundamental state variable ? a ratio of predetermined prices ? there is complementarity between actual and expected policy, and multiple equilibria occur. Moreover, this multiplicity is not associated with reputational considerations: it occurs in a ...
Working Paper
Modeling inventories over the business cycle.
We search for useful models of aggregate fluctuations with inventories. We focus exclusively on dynamic stochastic general equilibrium models that endogenously give rise to inventory investment and evaluate two leading candidates: the (S,s) model and the stockout avoidance model. Each model is examined under both technology shocks and preference shocks, and its performance gauged by its ability to explain the observed magnitude of inventories in the U.S. economy, alongside other empirical regularities, such as the procyclicality of inventory investment and its positive correlation with sales. ...
Report
Nonconvex factor adjustments in equilibrium business cycle models: Do nonlinearities matter?
Recent empirical analysis has found nonlinearities to be important in understanding aggregated investment. Using an equilibrium business cycle model, we search for aggregate nonlinearities arising from the introduction of nonconvex capital adjustment costs. We find that, while such costs lead to nontrivial nonlinearities in aggregate investment demand, equilibrium investment is effectively unchanged. Our finding, based on a model in which aggregate fluctuations arise through exogenous changes in total factor productivity, is robust to the introduction of shocks to the relative price of ...
Report
Idiosyncratic shocks and the role of nonconvexities in plant and aggregate investment dynamics
We solve equilibrium models of lumpy investment wherein establishments face persistent shocks to common and plant-specific productivity. Nonconvex adjustment costs lead plants to pursue generalized (S, s) rules with respect to capital; thus, their investments are lumpy. In partial equilibrium, this yields substantial skewness and kurtosis in aggregate investment, though, with differences in plant-level productivity, these nonlinearities are far less pronounced. Moreover, nonconvex costs, like quadratic adjustment costs, increase the persistence of aggregate investment, yielding a better match ...
Working Paper
Enduring Relationships in an Economy with Capital and Private Information
We study efficient risk sharing in a model where agents operate linear production technologies with private information about idiosyncratic productivity. Capital is the sole factor of production, and accumulable. We establish a time-invariant, one-to-one mapping between the capital allocated to an agent and his lifetime utility entitlement. The mapping implies properties that are distinct from those in models with private information about endowments. In contrast to the latter, the value of the risk-sharing arrangement in our model always remains above the autarky value. There is no need for ...
Working Paper
Idiosyncratic shocks and the role of nonconvexities in plant and aggregate investment dynamics.
We solve equilibrium models of lumpy investment wherein establishments face persistent shocks to common and plant-specific productivity. Nonconvex adjustment costs lead plants to pursue generalized (S,s) decision rules with respect to capital; as a result, their individual investments are lumpy. In partial equilibrium, this yields substantial skewness and kurtosis in aggregate investment, though with differences in plant-level productivity, these nonlinearities are far less pronounced. Moreover, nonconvex costs, like quadratic adjustment costs, greatly increase the persistence of aggregate ...
Journal Article
Accounting for cross-country differences in income per capita
Living standards, as measured by average income per person, vary widely across countries. Differences in income result in large disparities in spending on goods and services by people living in different economies. What makes some countries rich and others poor? Furthermore, what determines income per person in a country, and why are these factors unevenly allocated across the world? In "Accounting for Cross-Country Differences in Income Per Capita," Aubhik Khan outlines a framework for growth accounting to account for cross-country differences in income. The current consensus is that ...
Working Paper
Optimal monetary policy
Optimal monetary policy maximizes welfare, given frictions in the economic environment. Constructing a model with two sets of frictions ? the Keynesian friction of costly price adjustment by imperfectly competitive firms and the Monetarist friction of costly exchange of wealth for goods ? the authors find optimal monetary policy is governed by two familiar principles. ; First, the average level of the nominal interest rate should be sufficiently low, as suggested by Milton Friedman, that there should be deflation on average. Yet, the Keynesian frictions imply that the optimal nominal interest ...
Working Paper
Growth and risk-sharing with private information
The author examines the impact of incomplete risk-sharing on growth and welfare. The source of market incompleteness in the economy is private information: a household's idiosyncratic productivity shock is not observable by others. Risk-sharing between households occurs through long-term contracts with intermediaries. The author finds that incomplete risk-sharing tends to reduce the rate of growth relative to the complete risk-sharing benchmark. Numerical examples indicate that the welfare cost and the growth effect of private information are small.
Report
Modeling inventories over the business cycle
We evaluate two leading models of aggregate fluctuations with inventories in general equilibrium: the (S,s) model and the stockout avoidance model. Each is judged by its ability to explain the observed magnitude of inventories in the U.S. economy, alongside other empirical regularities such as the procyclicality of inventory investment and its positive correlation with sales. We find that the (S,s) model is far more consistent with the behavior of aggregate inventories in the postwar U.S. when aggregate fluctuations arise from technology, rather than preference, shocks. The converse holds for ...