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Creator: Kehoe, Timothy Jerome, 1953- Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 460 Abstract:
Economic equilibria are usually solutions to fixed point problems rather than solutions to convex optimization problems. This leads to two difficulties that are closely related: First, equilibria may be difficult to compute. Second, a model economy may have more than one equilibrium. This paper explores these issues for a number of stylized economies, including static economies that involve both pure exchange and production, economies that have infinite numbers of goods because of time and uncertainty, and economies with distortionary taxes and externalities. There are numerous numerical examples that illustrate the theory and could serve as test problems for algorithms.
Creator: Aguiar, Mark and Amador, Manuel Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 565 Abstract:
We establish that creditor beliefs regarding future borrowing can be self-fulfilling, leading to multiple equilibria with markedly different debt accumulation patterns. We characterize such indeterminacy in the Eaton-Gersovitz sovereign debt model augmented with long maturity bonds. Two necessary conditions for the multiplicity are: (i) the government is more impatient than foreign creditors, and (ii) there are deadweight losses from default; both are realistic and standard assumptions in the quantitative literature. The multiplicity is dynamic and stems from the self-fulfilling beliefs of how future creditors will price bonds; long maturity bonds are therefore a crucial component of the multiplicity. We introduce a third party with deep pockets to discuss the policy implications of this source of multiplicity and identify the potentially perverse consequences of traditional “lender of last resort” policies.
Palabra clave: Sovereign debt, Self-fulfilling debt crises, Debt dilution, and Multiple equilibria Tema: F34 - International Lending and Debt Problems
Creator: Aiyagari, S. Rao Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 325 Abstract:
We construct a sequence of pure exchange, stationary OLG economies in which generations have longer and longer life spans and all agents maximize a discounted sum of utilities with a fixed, positive, and common discount rate. Period utility functions and endowment patterns are subject to mild restrictions and within generation heterogeneity is permitted. We show that: (i) Every sequence of equilibrium interest rates converges to the discount rate. (ii) Eventually every nonmonetary steady state is optimal and a monetary steady state will never exist. (iii) For any agent consumption at any fixed age converges to permanent income evaluated using the utility discount rate.
Creator: Ayres, João, Navarro, Gaston, Nicolini, Juan Pablo, and Teles, Pedro Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 757 Abstract:
We explore quantitatively the possibility of multiple equilibria in a model of sovereign debt crises. The source of multiplicity is the one identified by Calvo (1988). This type of multiplicity has been at the heart of the policy debate through the recent European sovereign debt crisis. Key for multiplicity in the model is a stochastic process for output featuring long periods of either high or low growth. We calibrate the output process in the model using data for the southern European countries that were exposed to the debt crisis. We find that expectations-driven sovereign debt crises are empirically plausible, but only in periods of stagnation. Multiplicity is state dependent: in periods of stagnation and for intermediate levels of debt, interest rates may be high for reasons unrelated to fundamentals.
Palabra clave: Multiplicity, Stagnation, Sovereign default, Self-fulfilling debt crises, and Good and bad times Tema: F34 - International Lending and Debt Problems and E44 - Financial Markets and the Macroeconomy
Creator: Adão, Bernardino, Correia, Isabel, and Teles, Pedro Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 680 Abstract:
We show that short and long nominal interest rates are independent monetary policy instruments. The pegging of both helps solving the problem of multiplicity that arises when only short rates are used as the instrument of policy. A peg of the nominal returns on assets of different maturities is equivalent to a peg of state-contingent interest rates. These are the rates that should be targeted in order to implement unique equilibria. At the zero bound, while it is still possible to target state-contingent interest rates, that is no longer equivalent to the target of the term structure.
Palabra clave: Sticky prices, Maturities, Long rates, Monetary policy instruments, Term structure, Short rates, Monetary policy, and Multiplicity of equilibria Tema: E50 - Monetary Policy, Central Banking, and the Supply of Money and Credit: General, E40 - Money and Interest Rates: General, and E30 - Prices, Business Fluctuations, and Cycles: General (includes Measurement and Data)
Creator: Weinberg, John A. Series: Foundations of policy toward electronic money Abstract:
As a network, a payment system is likely to exhibit network externalities and perhaps some public good characteristics. Such properties may be more pronounced in an electronic payment system, because of its greater reliance on communication infrastructures with high fixed and low variable costs, for instance. This paper presents the basic economics of network externalities and reviews some basic principles regarding public goods. It then asks what these phenomena imply about the role of the Federal Reserve in emerging payment systems. The general conclusion is that there is reason to be skeptical that network externalities and public goods will be significant sources of market failure in electronic payment systems. These phenomena, by themselves, give rise to no particular, essential central bank role in these markets.
Palabra clave: Network industries, Public goods, Electronic payment systems, Network externalities, Network services, Communication systems, Central banks, Payment systems, and Network markets Tema: E58 - Monetary policy, central banking, and the supply of money and credit - Central banks and their policies and E42 - Money and interest rates - Monetary systems ; Standards ; Regimes ; Government and the monetary system ; Payment systems
Creator: Den Haan, Wouter J., 1962- Series: Macroeconomics with heterogenous agents, incomplete markets, liquidity constraints, and transaction costs Abstract:
This paper is part of a project to model the interaction between heterogeneous agents in intertemporal stochastic models and to develop numerical algorithms to solve these kind of models. It is well-known that solving dynamic heterogeneous agent models is a challenging problem, since in these models the distribution of wealth and other characteristics evolve endogenously over time. Existing dynamic models in the literature contain therefore just two agents or other simplifying assumptions to limit the heterogeneity.
Tema: D52 - General equilibrium and disequilibrium - Incomplete markets and C63 - Mathematical methods and programming - Computational techniques ; Simulation modeling
Creator: Ray, Debraj. and Streufert, Peter A. Series: Models of economic growth and development Abstract:
We incorporate the consumption-ability relationship of static "efficiency wage" models into a dynamic general equilibrium model. We show that for many aggregate land stocks, there is a continuum of unemployment rates which could persist indefinitely as part of a stationary equilibrium. For many of these aggregate land stocks, both unemployment and full employment are distrinct possibilities. Broadly speaking, more unemployment corresponds to more undernourishment and more inequality in land distribution. Thus our results suggest that the market mechanism is less efficacious than land reform in reducing unemployment and undernourishment.
Tema: J41 - Particular labor markets - Labor contracts, F41 - Macroeconomic aspects of international trade and finance - Open economy macroeconomics, and O42 - Economic growth and aggregate productivity - Monetary growth models