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Creator: Zhang, Yuzhe Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 639 Abstract:
This paper studies the stability of a stochastic optimal growth economy introduced by Brock and Mirman [J. Econ. Theory 4 (1972)] by utilizing stochastic monotonicity in a dynamic system. The construction of two boundary distributions leads to a new method of studying systems with non-compact state space. The paper shows the existence of a unique invariant distribution. It also shows the equivalence between the stability and the uniqueness of the invariant distribution in this dynamic system.
Palabra clave: Stochastic dominance, Monotonic operator, Stochastic growth, and Global stability Tema: C62 - Existence and Stability Conditions of Equilibrium, O41 - One, Two, and Multisector Growth Models, and C61 - Optimization Techniques; Programming Models; Dynamic Analysis
Creator: Baxter, Marianne, 1956- Series: Nonlinear rational expectations modeling group Abstract:
This paper develops a new method for approximating dynamic competitive equilibria in economies in which competitive equilibrium is not necessarily Pareto optimal. The method involves finding approximate equilibrium policy functions by iterating on the stochastic Euler equations which characterize the economy's equilibrium. Two applications are presented: the stochastic growth model of Brock and Mirman (1971) modified to allow distortionary taxation, and a model of inflation and capital accumulation based on Stockman (1981). The computational speed and accuracy of this approach suggests that it may be a feasible method for studying suboptimal economies with large state spaces.
Tema: C61 - Mathematical methods and programming - Optimization techniques ; Programming models ; Dynamic analysis, E51 - Monetary policy, central banking, and the supply of money and credit - Money supply ; Credit ; Money multipliers, and C63 - Mathematical methods and programming - Computational techniques ; Simulation modeling
Creator: Altug, Sumru Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 366 Palabra clave: Assymetric information , Lending, Borrowing constraint, Transaction cost, Private information, Market friction, and Idiosyncratic risk Tema: D82 - Asymmetric and Private Information; Mechanism Design and D52 - Incomplete Markets
Creator: Prescott, Edward C. and Ríos-Rull, José-Víctor Series: Advances in dynamic economics Abstract:
A necessary feature for equilibrium is that beliefs about the behavior of other agents are rational. We argue that in stationary OLG environments this implies that any future generation in the same situation as the initial generation must do as well as the initial generation did in that situation. We conclude that the existing equilibrium concepts in the literature do not satisfy this condition. We then propose an alternative equilibrium concept, organizational equilibrium, that satisfies this condition. We show that equilibrium exists, it is unique, and it improves over autarky without achieving optimality. Moreover, the equilibrium can be readily found by solving a maximization program.
Palabra clave: Rational behavior, Equilibrium, and Overlapping generations Tema: D51 - Exchange and Production Economies and E13 - General Aggregative Models: Neoclassical
Creator: Boyd, John H., Daley, Lane A., 1953-, and Runkle, David Edward Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 515 Abstract:
This paper examines the seasonal pattern of accruals for loan-loss provisions and chargeoffs chosen by bank managers. Using the existing literature on intra-year discretionary accruals, knowledge of the incentive systems used to evaluate bank managers' performance, and various regulatory characteristics, we predict that accruals for provisions and chargeoffs will cluster in the fourth quarter of each year. We examine quarterly data for 105 large bank holding companies from the first quarter of 1980 through the fourth quarter of 1990. Our results indicate that: (1) provisions and chargeoffs are clustered in the fourth quarter, (2) this clustering is not related to the level of business activity of the banks, (3) the proximity of a bank's actual capital to its regulatory capital requirement does not affect this clustering, and (4) current provisions are affected both by current chargeoffs and by expectations about future chargeoffs. To examine whether the systematic characteristics of these loan-loss provision and chargeoff decisions are understood by users, we also estimate a quarterly equity valuation model in which quarterly provisions should be differentially weighted to reflect their seasonal characteristics. We find strong evidence to indicate that equity prices behave as if the market participants take these seasonal properties into account.
Palabra clave: Bank lending, Loan-loss provision, Seasonality, Loans, Loan losses, Charge-off, and Banks Tema: G14 - Information and Market Efficiency; Event Studies; Insider Trading and G21 - Banks; Depository Institutions; Micro Finance Institutions; Mortgages
Creator: Adam, Klaus, Marcet, Albert, and Nicolini, Juan Pablo Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 720 Abstract:
Consumption-based asset pricing models with time-separable preferences can generate realistic amounts of stock price volatility if one allows for small deviations from rational expectations. We consider rational investors who entertain subjective prior beliefs about price behavior that are not equal but close to rational expectations. Optimal behavior then dictates that investors learn about price behavior from past price observations. We show that this imparts momentum and mean reversion into the equilibrium behavior of the price-dividend ratio, similar to what can be observed in the data. When estimating the model on U.S. stock price data using the method of simulated moments, we find that it can quantitatively account for the observed volatility of returns, the volatility and persistence of the price-dividend ratio, and the predictability of long-horizon returns. For reasonable degrees of risk aversion, the model generates up to one-half of the equity premium observed in the data. It also passes a formal statistical test for the overall goodness of fit, provided one excludes the equity premium from the set of moments to be matched.
Palabra clave: Asset pricing, Learning, Internal rationality, and Subjective beliefs Tema: G12 - Asset Pricing; Trading Volume; Bond Interest Rates and E44 - Financial Markets and the Macroeconomy
Creator: Kaplan, Greg and Schulhofer-Wohl, Sam Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 697 Abstract:
We analyze the secular decline in interstate migration in the United States between 1991 and 2011. Gross flows of people across states are about 10 times larger than net flows, yet have declined by around 50 percent over the past 20 years. We argue that the fall in migration is due to a decline in the geographic specificity of returns to occupations, together with an increase in workers’ ability to learn about other locations before moving there, through information technology and inexpensive travel. These explanations find support in micro data on the distribution of earnings and occupations across space and on rates of repeat migration. Other explanations, including compositional changes, regional changes, and the rise in real incomes, do not fit the data. We develop a model to formalize the geographic-specificity and information mechanisms and show that a calibrated version is consistent with cross-sectional and time-series patterns of migration, occupations, and incomes. Our mechanisms can explain at least one-third and possibly all of the decline in gross migration since 1991.
Palabra clave: Gross flows, Learning, Labor mobility, Interstate migration, and Information technology Tema: J61 - Geographic Labor Mobility; Immigrant Workers, J24 - Human Capital; Skills; Occupational Choice; Labor Productivity, R23 - Urban, Rural, Regional, Real Estate, and Transportation Economics: Regional Migration; Regional Labor Markets; Population; Neighborhood Characteristics, J11 - Demographic Trends, Macroeconomic Effects, and Forecasts, D83 - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness, and R12 - Size and Spatial Distributions of Regional Economic Activity
Creator: Zhang, Yuzhe Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 640 Abstract:
In this paper I develop continuous-time methods for solving dynamic principal-agent problems in which the agent’s privately observed productivity shocks are persistent over time. I characterize the optimal contract as the solution to a system of ordinary differential equations, and show that, under this contract, the agent’s utility converges to its lower bound—immiseration occurs. I also show that, unlike in environments with i.i.d. shocks, the principal would like to renegotiate with the agent when the agent’s productivity is low—it is not renegotiation-proof. I apply the theoretical methods I have developed and numerically solve this (Mirrleesian) dynamic taxation model. I find that it is optimal to allow a wedge between the marginal rate of transformation and individuals’ marginal rate of substitution between consumption and leisure. This wedge is significantly higher than what is found in the i.i.d. case. Thus, using the i.i.d. assumption is not a good approximation quantitatively when there is persistence in productivity shocks.
Palabra clave: Stochastic control problem, Efficiency lines, Persistence, and Principal-agent problem Tema: E61 - Policy Objectives; Policy Designs and Consistency; Policy Coordination, D80 - Information, Knowledge, and Uncertainty: General, and D82 - Asymmetric and Private Information; Mechanism Design
Creator: Bianchi, Javier, Ottonello, Pablo, and Presno, Ignacio Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 762 Abstract:
The excess procyclicality of fiscal policy is commonly viewed as a central malaise in emerging economies. We document that procyclicality is more pervasive in countries with higher sovereign risk and provide a model of optimal fiscal policy with nominal rigidities and endogenous sovereign default that can account for this empirical pattern. Financing a fiscal stimulus is costly for risky countries and can render countercyclical policies undesirable, even in the presence of large Keynesian stabilization gains. We also show that imposing austerity can backfire by exacerbating the exposure to default, but a well-designed "fiscal forward guidance" can help reduce the excess procyclicality.
Palabra clave: Procyclicality, Fiscal stabilization policy, and Sovereign default Tema: F44 - International Business Cycles, H50 - National Government Expenditures and Related Policies: General, E62 - Fiscal Policy, F41 - Open Economy Macroeconomics, and F34 - International Lending and Debt Problems