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Creator: Bryant, John B. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 048 Abstract: Herein, it is demonstrated that the competitive provision of fiat money is generically either inefficient or infeasible.
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Creator: Miller, Preston J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 067 Abstract: In a model which exhibits many monetarist properties it is shown that monetary and fiscal policies must be coordinated. The model is populated by overlapping generations of three-period lived agents who can hold fiat money, fiat bonds, and physical capital. A government produces a public good and issues both money and fiat bonds to finance permanent budget deficits. In this model both fiat money and fiat bonds can have value in equilibrium, and their co-existence can allow a more efficient financing of deficits than can a single debt instrument.
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Creator: Roberds, William Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 104 Abstract: This paper considers a policy environment in which policy is not set by a single policymaker, but by a sequence of policymaking administrations. Administration turnover is determined by a simple random process. The consequences of administration turnover are traced through for two versions of a linear rational expectations model, and numerical simulations of various policy environments are presented.
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Creator: Litterman, Robert B. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 084 Abstract: This paper describes a technique for distributing quarterly time series across monthly values. The method generalizes an approach described by Fernandez (1981). The paper also presents results of a test of the accuracy of these two approaches and two standard procedures suggested by Chow and Lin (1971).
Keyword: Serial correlation, Interpolation, and Chow-Lin -
Creator: Chari, V. V. and Kehoe, Patrick J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 125 Abstract: This paper presents a simple general equilibrium model of optimal taxation similar to that of Lucas and Stokey (1983), except that we let the government default on its debt. As a benchmark, we consider Ramsey equilibria in which the government can precommit its policies at the beginning of time. We then consider sustainable equilibria in which both government and private agent decision rules are required to be sequentially rational. We concentrate on trigger mechanisms which specify reversion to the finite horizon equilibrium after deviations by the government. The main result is that no Ramsey equilibrium with positive debt can be supported by such trigger mechanisms.
Subject (JEL): E62 - Fiscal Policy and E61 - Policy Objectives; Policy Designs and Consistency; Policy Coordination -
Creator: Chari, V. V.; Jones, Larry E.; and Manuelli, Rodolfo E. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 117 Abstract: We propose a definition of involuntary unemployment which differs from that traditionally used in implicit labor contract theory. We say that a worker is involuntarily unemployed if the marginal wage implied by the optimal contract exceeds the marginal rate of substitution between leisure and consumption. We construct a model where risk-neutral firms have monopoly power and show that such monopoly power is necessary for involuntary unemployment to arise in the optimal contract. We numerically compute examples and show that such unemployment occurs for a wide range of parameter values.
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Creator: Hinich, Melvin J. and Weber, Warren E. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 065 Abstract: This paper presents a frequency-domain technique for estimating distributed lag coefficients (the impulse-response function) when observations are randomly missed. The technique treats stationary processes with randomly missed observations as amplitude-modulated processes and estimates the transfer function accordingly. Estimates of the lag coefficients are obtained by taking the inverse transform of the estimated transfer function. Results with artificially created data show that the technique performs well even when the probability of an observation being missed is one-half and in some cases when the probability is as low as one-fifth. The approximate asymptotic variance of the estimator is also calculated in the paper.
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Creator: Rolnick, Arthur J., 1944- and Weber, Warren E. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 080 Abstract: The purpose of this paper is to begin a reevaluation of the Free Banking Era by developing and examining individual bank information on the population of banks which existed under the free banking laws in four states. This information allows us to determine the number of free banks which failed and to estimate the resulting losses to their note holders. While the new evidence suggests there were problems with free banking, it presents a serious challenge to the prevailing view that free banking led to financial chaos.
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Creator: Christiano, Lawrence J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 101 Abstract: This paper describes and implements a procedure for estimating the timing interval in any linear econometric model. The procedure is applied to Taylor’s model of staggered contracts using annual averaged price and output data. The fit of the version of Taylor’s model with serially uncorrelated disturbances improves as the timing interval of the model is reduced.
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Creator: Bryant, John B. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 056 Abstract: The recurrent banking panics of the 19th century and the Great Depression of the 1930s are widely viewed as failures of our economic system. A simple version of Samuelson’s overlapping generations model is used to generate such failures of Walrasian equilibrium. The spontaneous “panics” generated involve a collapse of bank credit, causing in turn a drop in investment demand. The model suggests that both the recent technological advances in the intermediation industry and the current move towards deregulation of that industry are ominous developments.
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Creator: Backus, David and Kehoe, Patrick J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 116 Abstract: We show that some classes of sterilized interventions have no effect on equilibrium prices and quantities. The proof does not require complete markets, Ricardian equivalence, monetary neutrality, or the law of one price. Moreover, regressions of exchange rates or interest differentials on variables measuring debt’s currency composition contain no information about the effectiveness of such interventions. Other interventions require changes in monetary and fiscal policy; their effects depend, generally, on the influence of these changes on the economy and not on the intervention alone. In short, sterilized intervention is not, as the portfolio balance approach indicates, an extra policy instrument.
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Creator: Hansen, Lars Peter and Sargent, Thomas J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 072 Abstract: This paper reconsiders the aliasing problem of identifying the parameters of a continuous time stochastic process from discrete time data. It analyzes the extent to which restricting attention to processes with rational spectral density matrices reduces the number of observationally equivalent models. It focuses on rational specifications of spectral density matrices since rational parameterizations are commonly employed in the analysis of the time series data.
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Creator: Bryant, John B. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 057 Abstract: Iterated contraction by dominance produces a generalized equilibrium. This solution to game theory is motivated, generated, analyzed, and compared to Nash equilibrium. One implication drawn is that a realized event in a social situation need not be uniquely determined by simple individual choices, even though the preference orderings implying those choices are the appropriate primitive.
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Creator: Hansen, Lars Peter and Sargent, Thomas J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 060 Abstract: This paper shows how the cross-equation restrictions delivered by the hypothesis of rational expectations can serve to solve the aliasing identification problem. It is shown how the rational expectations restrictions uniquely identify the parameters of a continuous time model from statistics of discrete time models.
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Creator: Bryant, John B. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 050 Abstract: A simple model of the process of learning in a diverse economy is presented. This model produces a stylized business cycle with shocks which precipitate the learning process. All agents have the same information, which implies that this business cycle cannot be reduced by improved information flow, counter to many models of output and employment fluctuation.
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Creator: Weber, Warren E. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 094 Abstract: This paper analyzes the variability of output under money supply and exchange rate rules in an open economy in which the slope of the aggregate supply curve depends on the variances of aggregate demand and market-specific innovations. It demonstrates that results regarding the dominance of one rule over the other when the slope of the aggregate supply curve is constant are reversed when the slope of the aggregate supply curve depends on the variances of innovations and these variances are sufficiently large.
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Creator: Stutzer, Michael J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 063 Abstract: In a recent article, J. A. Kay has proposed a useful measure of the deadweight loss arising from a commodity tax system. The measure answers the question, How much more would the taxed consumer be willing to pay in a lump sum rather than as a commodity tax? Kay’s computation of the marginal deadweight loss does not yield the change in this measure for small changes in commodity tax rates, however. This note clarifies Kay’s otherwise excellent contribution, derives the measure for Cobb-Douglas utilities, and examines a useful property of it.
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Creator: Townsend, Robert M., 1948- and Wallace, Neil Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 083 Abstract: We study the possible specialness of circulating as opposed to noncirculating private securities using models whose equilibria imply the existence of both. The models are pure exchange setups with spatial separation and with the potential for a variety of intertemporal trades. We find a sense in which unregulated circulating private securities are troublesome. It can happen that in order for an equilibrium to exist, the amounts of circulating debts issued at the same time in spatially and informationally separated markets have to satisfy restrictions not implied by individual maximization and market clearing in each market separately.
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Creator: Wallace, Neil Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 061 Abstract: In this paper I describe a “monetary” system in which backing is provided for the government’s liabilities by way of contingent resort to taxes. The system has some of the features of a commodity money system with a large seignorage spread between bid and ask prices. It is studied within the context of a one-good, pure exchange model of two-period-lived overlapping generations in which, aside from various uniform boundedness assumptions, considerable diversity is allowed both within and across generations. Two results are established: (i) the existence of at least one perfect foresight competitive equilibrium, and (ii) the Pareto optimality of any such equilibrium.
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Creator: Stutzer, Michael J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 076 Abstract: The inefficiency of fixed rate consumer price subsidies, relative to cash transfers, is one of the best-known propositions in welfare economics. It has also been used to show that matching grants are a more inefficient intergovernmental aid than are lump sum grants. Furthermore, the cost of fixed rate subsidies cannot be controlled without providing a “cap” beyond which amount no subsidy is received. This paper reports, both qualitatively and quantitatively, that a broad class of variable rate price subsidies also dominates fixed rate subsidies on both counts. The relative inefficiency of matching grants compared to the variable rate Federal General Revenue Sharing program is estimated.
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Creator: Chari, V. V. and Kehoe, Patrick J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 124 Abstract: This paper presents a simple general equilibrium model of optimal taxation in which both private agents and the government can default on their debt. As a benchmark we consider Ramsey equilibria in which the government can precommit to its policies at the beginning of time, but in which private agents can default. We then consider sustainable equilibria in which both government and private agent decision rules are required to be sequentially rational. We completely characterize the set of sustainable equilibria. In particular, we show that when there is sufficiently little discounting and government consumption fluctuates enough, the Ramsey allocations and policies (in which the government never defaults) can be supported by a sustainable equilibrium.
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Creator: Litterman, Robert B. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 082 Abstract: Using optimal control theory and a vector autoregressive representation of the relationship between money and interest rates, one can derive a feedback control procedure which defines the best possible tradeoff between money supply fluctuations and interest rate volatility and which could be used to reduce both from their current levels.
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Creator: Wallace, Neil Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 099 Abstract: Different conclusions about the effects of open market operations are reached even among economists using full employment and rational expectations models. I show that these differences can be attributed to different assumptions regarding the concept of the deficit that is held fixed for an open market operation, the diversity among agents, and the features generating money demand. With regard to those features, I argue that plausible ways of explaining the holding of low-return money preclude the kind of perfect credit markets needed to obtain Ricardian equivalence.
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Creator: Bryant, John B. and Wallace, Neil Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 051 Abstract: Monetary policy is analyzed within a model that ignores transaction costs and appeals solely to legal restrictions on private intermediation to explain the coexistence of currency and interest-bearing default-free bonds. The interaction between such legal restrictions and monetary policy is illustrated in versions of overlapping generations models that contain three assets: government-issued currency and bonds and real capital. It is shown that legal restrictions and the use of both currency and bonds permit the government to levy a discriminatory inflation tax and that such a tax may be better in terms of the Pareto criterion than a uniform inflation tax.
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Creator: Hansen, Lars Peter and Sargent, Thomas J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 074 Abstract: This paper describes the continuous time stochastic process for money and inflation under which Cagan’s adaptive expectations model is optimal. It then analyzes how data formed by sampling money and prices at discrete points in time would behave.
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Creator: Boyd, John H. and Prescott, Edward C. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 100 Abstract: The implications of a dynamic coalition production technology are explored. With this technology, coalitions produce the current period consumption good as well as coalition-specific capital which is embodied in young coalition members. The equilibrium allocation is efficient and displays constant growth rates, even though exogenous technological change is not a feature of the environment. Unlike the neoclassical growth model, policies which influence agents’ investment-consumption decisions affect not only the level of output, but also its constant growth rate. In addition to these growth entailments, the theory has equally important industrial organization implications. Specifically, in equilibrium there is no tendency for coalition (firm) size to regress to the mean or for the distribution of coalition sizes to become more disparate.
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Creator: Bryant, John B. and Wallace, Neil Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 062 Abstract: Our suggestion consists of three postulates: assets are valued only in terms of their payoffs, perfect foresight, and complete and costless markets under laissez-faire. Together these postulates imply that the crucial anomaly, rate-of-return dominance of “money,” is to be explained by legal restrictions.
Our defense of these postulates is two-fold. First we compare them with existing alternative theories. Second, we provide an illustrative model which : (a) is consistent with the postulates, (b) implies rate-of-return dominance under suitable legal restrictions, and (c) addresses monetary policy questions with standard welfare economics and, in particular, rationalizes in terms of price discrimination a debt management policy that “tailors debt issues to the needs of the market.”
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Creator: Aiyagari, S. Rao Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 114 Abstract: This paper considers whether short-period deterministic cycles can exist in a class of stationary overlapping generations models with long- (but finite-) lived agents. It shows that if agents discount the future positively, then as life spans get large, nonmonetary cycles will disappear. Further, neither constant monetary steady states nor stationary monetary cycles can exist. It also shows that if agents discount the future negatively, then there are robust examples in which constant monetary steady states as well as stationary monetary cycles (with undiminished amplitude) can occur no matter how long agents live.
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Creator: Hansen, Lars Peter and Sargent, Thomas J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 069 Abstract: A prediction formula for geometrically declining sums of future forcing variables is derived for models in which the forcing variables are generated by a vector autoregressive-moving average process. This formula is useful in deducing and characterizing cross-equation restrictions implied by linear rational expectations models.
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Creator: Hansen, Lars Peter and Sargent, Thomas J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 070 Abstract: This paper illustrates how to use instrumental variables procedures to estimate the parameters of a linear rational expectations model. These procedures are appropriate when disturbances are serially correlated and the instrumental variables are not exogenous.
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Creator: Miller, Preston J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 068 Abstract: This paper reviews selected studies in the theory of macroeconomic stabilization policy and summarizes their key findings. A simple model is constructed which includes all surveyed models as special cases. All solutions are derived and described step by step.
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Creator: Boyd, John H. and Prescott, Edward C. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 087 Abstract: This paper studies an environment in which the investment opportunities of agents are private information and shows that financial intermediaries arise endogenously within that environment. It establishes that financial intermediaries are part of an efficient arrangement in the sense that they are needed to support the authors’ private information core allocations. These intermediaries, which are coalitions of agents, exhibit the following characteristics in equilibrium: they borrow from and lend to large groups of agents; they produce information about investment projects; and they issue claims that have different state contingent payoffs than claims issued by ultimate borrowers.
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Creator: Stutzer, Michael J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 091 Abstract: Time consistent optimal plans are defined within the context of a simple, discrete time optimal control framework. Three possible sources of inconsistency are identified and discussed with reference to the literature.
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Creator: Stutzer, Michael J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 128 Abstract: Recent advances in duality theory have made it easier to discover relationships between asset prices and the portfolio choices based on them. But this approach to arbitrage-free securities markets has yet to be extended and applied to economies with transactions costs. This paper does so, within the context of a general state-preference model of securities markets. Several applications are developed to illustrate the nature of the theory and its potential to resolve a host of issues surrounding the effects of transactions costs on securities markets.
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Creator: Todd, Richard M. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 127 Abstract: Optimal linear regulator methods are used to represent a class of models of endogenous equilibrium seasonality that has so far received little attention. Seasonal structure is built into these models in either of two equivalent ways: periodically varying the coefficient matrices of a formerly nonseasonal problem or embedding this periodic-coefficient problem in a higher-dimensional sparse system whose time-invariant matrices have a special pattern of zero blocks. The former structure is compact and convenient computationally; the latter can be used to apply familiar convergence results from the theory of time-invariant optimal regulator problems. The new class of seasonality models provides an equilibrium interpretation for empirical work involving periodically stationary time series.
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Creator: Miller, Preston J. and Roberds, William Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 109 Abstract: Doan, Litterman, and Sims (DLS) have suggested using conditional forecasts to do policy analysis with Bayesian vector autoregression (BVAR) models. Their method seems to violate the Lucas critique, which implies that coefficients of a BVAR model will change when there is a change in policy rules. In this paper we construct a BVAR macro model and attempt to determine whether the Lucas critique is important quantitatively. We find evidence following two candidate policy rule changes of significant coefficient instability and of a deterioration in the performance of the DLS method.
Keyword: Coefficient instability, Conditional forecasts, and Bayesian vector autoregression -
Creator: Kehoe, Timothy Jerome, 1953-; Levine, David K.; and Romer, Paul Michael, 1955- Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 118 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 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.
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Creator: Hansen, Lars Peter and Sargent, Thomas J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 071 Abstract: This paper describes how to specify and estimate rational expectations models in which there are exact linear relationships among variables and expectations of variables that the econometrician observes.
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Creator: Miller, Preston J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 086 Abstract: The relative efficiency of alternative income tax systems is analyzed in a dynamic, general equilibrium model having an endogenous labor supply and imperfect risk sharing. This theoretical model allows different tax systems to be compared with respect to their labor distortion effects, their automatic income stability properties, and the welfare they provide on average to a representative consumer-laborer. The comparisons are done for the optimal tax parameters under each given tax system. Despite a role for income stabilization, the optimal income tax schedule turns out to be regressive.
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Creator: Kehoe, Patrick J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 098 Abstract: This paper provides a simple counterexample to the standard belief that in a world economy in which all countries are small, strategic interactions between policymakers are trivial and thus cooperative and noncooperative government policies coincide. It is well known that this holds for tariff policies. However, this paper demonstrates the result does not apply to government policies generally. Indeed, this paper presents a simple counterexample for the case of fiscal policy. In addition, the paper analyzes how optimally coordinated fiscal policies differ from noncooperative policies. It finds that, relative to optimally coordinated levels, noncooperative government spending can be too high or too low, depending on the sign of a transmission effect which captures the overall effect countries’ actions have on each other.
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Creator: Kehoe, Patrick J. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 103 Abstract: This paper presents a simple counterexample to the belief that international policy cooperation is desirable. It also explains circumstances under which such a counterexample is possible.
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Creator: Christiano, Lawrence J. and Ljungqvist, Lars Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 108 Abstract: A bivariate Granger-causality test on money and output finds statistically significant causality when data are measured in log levels, but not when they are measured in first differences of the logs. Which of these results is right? The answer to that question matters because a finding of no Granger-causality from money to output would substantially embarrass existing business cycle models in which money plays an important role [Eichenbaum and Singleton (1986)]. Monte Carlo simulation experiments indicate that, most probably, the first difference results reflect lack of power, whereas the level results reflect Granger-causality that is actually in the data.
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Creator: Aiyagari, S. Rao Series: Quarterly review (Federal Reserve Bank of Minneapolis. Research Department) Number: Vol. 11, No. 2 -
Creator: Aiyagari, S. Rao Series: Quarterly review (Federal Reserve Bank of Minneapolis. Research Department) Number: Vol. 9, No. 1 -
Creator: Aiyagari, S. Rao Series: Quarterly review (Federal Reserve Bank of Minneapolis. Research Department) Number: Vol. 13, No. 1 -
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Creator: Kehoe, Patrick J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 373 Abstract: This paper presents a simple counterexample to the belief that policy cooperation among benevolent governments is desirable. It also explains circumstances under which such counterexamples are possible and relates them to the literature on time inconsistency.
Keyword: Policy coordination, Cooperation, Policy games, and Macroeconomics Subject (JEL): D46 - Value Theory, F33 - International Monetary Arrangements and Institutions, and F11 - Neoclassical Models of Trade -
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Creator: Smith, Bruce D. (Bruce David), 1954-2002 Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 228 Abstract: "Summary of Recommendations: . . . Repeal present control by the System over interest rates that member banks may pay on time deposits and present prohibition of interest payments by member banks on demand deposits." Milton Friedman (1960, p. 100) "I conclude that the over-all monetary effects of ceiling regulations are small and easy to neutralize by traditional monetary controls. The allocative and distributive effects are, however, unfortunate. The root of the policy was an exaggerated and largely unnecessary concern for the technical solvency of savings and loan associations." James Tobin (1970, p. 5) The regulation of deposit interest rates has received little support from economists. The same is true for the original rationale for such regulation: that bank competition for deposits generates inherent "instability" in the banking system. This paper develops an "adverse selection" model of banking in which this rationale is correct. Moreover, in this model instability in the banking system can arise despite the presence of a "lender of last resort," and despite the absence of any need for "deposit insurance." However, in the world described, the regulation of deposit interest rates is shown to be an appropriate response to "instability" in the banking system. Finally, it is argued that "adverse selection" models of deposit interest rate determination can confront a number of observed phenomena that are not readily explained in other contexts.
Keyword: Instability, Banking Act, Banking Act of 1935, Unregulated banks, Banking panics, Bank regulation, Banking Act of 1933, and Risk Subject (JEL): G11 - Portfolio Choice; Investment Decisions, E42 - Monetary Systems; Standards; Regimes; Government and the Monetary System; Payment Systems, D82 - Asymmetric and Private Information; Mechanism Design, and G21 - Banks; Depository Institutions; Micro Finance Institutions; Mortgages -
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Creator: Backus, David and Kehoe, Patrick J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 359 Abstract: We show that some classes of sterilized interventions have no effect on equilibrium prices or quantities. The proof does not depend on complete markets, infinitely-lived agents, Ricardian equivalence, monetary neutrality, or the law of one price. Moreover, regressions of exchange rates or interest differentials on variables measuring the currency composition of the debt may contain no information, in our theoretical economy, about the effectiveness of such interventions. Another class of interventions requires simultaneous changes in monetary and fiscal policy; their effects depend, generally, on the influence of tax distortions, government spending, and money supplies on economic behavior. We suggest that in applying the portfolio balance approach to the study of intervention, lack 01 explicit modeling of these features is a serious flaw.
Keyword: Debts, external and Foreign exchange law and legislation Subject (JEL): F31 - Foreign Exchange, F41 - Open Economy Macroeconomics, and H30 - Fiscal Policies and Behavior of Economic Agents: General -
Creator: Wallace, Neil Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 251 Abstract: Different conclusions about the effects of open market operations are reached even among economists using full employment and rational expectations models. I show that these can be attributed to different assumptions regarding (i) the concept of the deficit that is held fixed in the face of an open market operation, (ii) diversity among agents, and (iii) the features generating money demand. With regard to (iii), I argue that plausible ways of explaining the holding of low-return money preclude the kind of perfect credit markets needed to obtain Ricardian equivalence.
Description: This paper was presented for the International Seminar in Public Economics, held in February 1984 at the University of California at Santa Cruz.
Keyword: Ricardian equivalency, Deficit, Open market purchases, and Money demand Subject (JEL): E52 - Monetary Policy and E41 - Demand for Money -
Creator: Smith, Bruce D. (Bruce David), 1954-2002 Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 245 Abstract: Recent developments in monetary economics stress the nature of monetary injections, emphasizing that these have implications for the relationship between money and prices. In constrast, traditional approaches posit stable money demand functions that are independent of how money is injected. The former approach implies that certain proportionality relations between money and prices need not obtain. This permits the two approaches to be empirically distinguished, but only if an appropriate "experiment" is conducted. The colonial period is one such experiment. Colonial evidence suggests that the nature of injections is crucial to the effect on prices of changes in the money supply.
Keyword: Monetary injections, Quantity theory of money, Value of money, and Sargent-Wallace theory of money Subject (JEL): N11 - Economic History: Macroeconomics and Monetary Economics; Industrial Structure; Growth; Fluctuations: U.S.; Canada: Pre-1913 and E51 - Money Supply; Credit; Money Multipliers -
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Creator: Chari, V. V. and Kehoe, Patrick J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 399 Abstract: We analyze the incentive for a government to default on its debts in a variant of the Lucas and Stokey (1983) model of optimal taxation. Optimal fiscal policy requires the use of debt to smooth tax distortions over time. Dynamic consistency requires that governments not have an incentive to default on the inherited debt. We consider policy and allocation rules which map the history of the economy into current decisions. A sustainable equilibrium is a sequence of history-contingent functions which satisfy sequential rationality for the government and for private agents. We characterize sustainable equilibrium outcomes when the horizon in finite. We show that, under plausible assumptions, the loss in welfare due to the absence of a commitment technology to honor debts is small.
Keyword: Fiscal policy, Economic policy, and Debt Subject (JEL): E62 - Fiscal Policy and E61 - Policy Objectives; Policy Designs and Consistency; Policy Coordination -
Creator: Struthers, Jr., Alan Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 176 Keyword: Writing guide and Writing manual Subject (JEL): Y50 - Further Reading (unclassified) -
Creator: Stutzer, Michael J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 350 Keyword: Minnesota, Intergovernmental aid, Public finance, LGA, Local government aid, Tax reform, and Tax policy Subject (JEL): R51 - Finance in Urban and Rural Economies and H71 - State and Local Taxation, Subsidies, and Revenue -
Creator: Smith, Bruce D. (Bruce David), 1954-2002 Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 232 Abstract: A model of a "real" business cycle is produced in which labor market participants possess private information. A class of economies is considered in which interesting cycles cannot arise without private information. A methodology adapted from Kydland and Prescott (1982) is then employed to show that models based on private information can empirically confront salient features of postwar U.S. business cycles. Moreover, this can be done in a way which is consistent with existing microeconomic evidence on wages and labor supply. Finally, it is shown that the important features of the model related to private information are fairly general.
Keyword: Labor contracts, Unemployment, Labor markets, and Assymetric information Subject (JEL): E32 - Business Fluctuations; Cycles and D82 - Asymmetric and Private Information; Mechanism Design -
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Creator: Christiano, Lawrence J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 339 Keyword: Inventory, Fluctuations, Investment, and Inventory investments Subject (JEL): G31 - Capital Budgeting; Fixed Investment and Inventory Studies; Capacity and E32 - Business Fluctuations; Cycles -
Creator: Smith, Bruce D. (Bruce David), 1954-2002 Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 237 Abstract: A model is presented in which governments can select real expenditure levels which are feasible, hut are sufficiently high that a balanced budget is impossible. Thus governments with large expenditures are committed to inflationary finance schemes. This is the case even though the governments in question have access to lump-sum taxes. In addition, the model can explain why poorer countries tend to make heavier use of the inflation tax than do wealthier countries, and can account for the existence of country-specific fiat monies.
Keyword: Inflationary finance, Inflation tax, Deficit, Real expenditures, and Government expenditure Subject (JEL): H50 - National Government Expenditures and Related Policies: General, H62 - National Deficit; Surplus, and E31 - Price Level; Inflation; Deflation -
Creator: Kydland, Finn E. and Prescott, Edward C. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 267 Abstract: The neoclassical growth model studied in Kydland and Prescott [1982] is modified to permit the capital utilization rate to vary. The effect of this modification is to increase the amplitude of the aggregate fluctuations predicted by theory as the equilibrium response to technological shocks. If following Solow [1957], the changes in output not accounted for by changes in the labor and tangible capital inputs are interpreted as being the technology shocks, the statistical properties of the fluctuations in the post-war United States economy are close in magintude and nature to those predicted by theory.
Keyword: Business cycle , Production, Labor, and Work week Subject (JEL): D50 - General Equilibrium and Disequilibrium: General and E32 - Business Fluctuations; Cycles -
Creator: Bryant, John B. and Wallace, Neil Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 189 Keyword: Private currency, Rate of return dominance, Government debt, and Prohibition Subject (JEL): E40 - Money and Interest Rates: General and E52 - Monetary Policy -
Creator: Litterman, Robert B. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 297 Abstract: Optimal control theory can be combined with the probability structure of a vector autoregression to investigate the tradeoffs available to policymakers. Such an approach obtains results based on a minimal set of assumptions about the economy and the structure of policy actions. This paper takes this approach to analyze the potential effectiveness of countercyclical monetary policy.
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Creator: Stutzer, Michael J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 300 Keyword: Risk, Uncertainty, Infinite hyperreal number, Hyperinfinite probability theory, and Equilibrium analysis Subject (JEL): D81 - Criteria for Decision-Making under Risk and Uncertainty and C68 - Computable General Equilibrium Models -
Creator: Litterman, Robert B. and Weiss, Laurence M. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 179 Keyword: Ex ante rates, Money supply, Short term rates, and Inflation Subject (JEL): E51 - Money Supply; Credit; Money Multipliers and E40 - Money and Interest Rates: General -
Creator: Chari, V. V. and Kehoe, Patrick J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 317 Abstract: This paper examines the limiting behavior of cooperative and noncooperative fiscal policies as countries market power goes to zero. In the first part we provide sufficient conditions for these policies to converge. In the second part we provide examples where these policies diverge. Briefly, we show that if there are unremovable domestic distortions then there can be gains to coordination between countries even when countries have no ability to affect world prices. These results are at variance with the received wisdom in the optimal tariff literature. The key distinction is that we model explicitly the spending decisions of the government while the optimal tariff literature does not.
Keyword: International economic relations and Fiscal policy Subject (JEL): F42 - International Policy Coordination and Transmission and N10 - Economic History: Macroeconomics and Monetary Economics; Industrial Structure; Growth; Fluctuations: General, International, or Comparative -
Creator: Prescott, Edward C. and Ríos-Rull, José-Víctor Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 329 Abstract: Arrow-Debreu competitive equilibrium analysis is extended to environments with information sets differing in space as well as in time and with people moving between locations. Equilibrium is shown to exist and to be optimal and the equilibrium price system is characterized. Such environments include many of those studied in the equilibrium search literature.
Description: Replaced by WP 449.
Keyword: Classical approach, Search environment, Production, Competitive general equilibrium, and Growth Subject (JEL): D83 - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness and O21 - Planning Models; Planning Policy -
Creator: Smith, Bruce D. (Bruce David), 1954-2002 Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 406 Keyword: Inflation, Central banking, Money, Monetary policy, Quantity theory of money, and Prices Subject (JEL): E52 - Monetary Policy and E31 - Price Level; Inflation; Deflation -
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Creator: Christiano, Lawrence J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 163 Abstract: This paper shows how to derive the family of models in which Cagan’s model of hyperinflation is a rational expectations model. The slope parameter in Cagan’s portfolio balance equation is identified in some of these models and in others it is not—a fact which clarifies results obtained in several recent papers.
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Creator: Sargent, Thomas J. and Wallace, Neil Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 241 Keyword: Hyperinflations, Real balances, Seignorage, and Rational expectations Subject (JEL): H27 - Taxation, Subsidies, and Revenues: Other Sources of Revenue and E31 - Price Level; Inflation; Deflation -
Creator: Sargent, Thomas J. and Wallace, Neil Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 214 Keyword: Bimetallism, Commodities, Symmetallism, Quantity theory of money, Private issue inside money, and Seignorage Subject (JEL): E42 - Monetary Systems; Standards; Regimes; Government and the Monetary System; Payment Systems and E52 - Monetary Policy -
Creator: Williamson, Stephen D. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 382 Abstract: A model with private information is constructed that supports conventional arguments for a government monopoly in supplying circulating media of exchange. The model also yields predictions, including rate-of-return dominance of circulating media of exchange, that are consistent with observations from free banking regimes and fiat money regimes. In a laissez faire banking equilibrium, fiat money is not valued, and the resulting allocation is not Pareto optimal. However, if private agents are restricted from issuing circulating notes, there exists an equilibrium with valued fiat money that Pareto dominates the laissez faire equilibrium and is constrained Pareto optimal.
Keyword: Monetary exchange, Currency, Fiat money, Monetary economics, Private information, Free banking, Money, Assymetric information, and Laissez faire banking Subject (JEL): D82 - Asymmetric and Private Information; Mechanism Design and E42 - Monetary Systems; Standards; Regimes; Government and the Monetary System; Payment Systems -
Creator: Supel, Thomas M. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 150 Keyword: Federal income tax, Rational expectations model, and Indexed tax structure Subject (JEL): E62 - Fiscal Policy, C43 - Index Numbers and Aggregation; Leading indicators, and H21 - Taxation and Subsidies: Efficiency; Optimal Taxation -
Creator: Uhlig, Harald, 1961- Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 342 Abstract: [Please note that the following Greek lettering is improperly transcribed.] If [0,1] is a measure space of agents and X---- a collection of pairwise uncorrelated random variables with common finite mean U and variance a , one would like to establish a law of large numbers () Xdl = U. In this paper we propose to interpret () as a Pettis integral. Using the corresponding Riemann-type version of this integral, we establish (*) and interpret it as an L2-law of large numbers. Intuitively, the main idea is to integrate before drawing an W, thus avoiding well-know measurability problems. We discuss distributional properties of i.i.d. random shocks across the population. We given examples for the economic interpretability of our definition. Finally, we establish a vector-valued version of the law of large numbers for economies.
Keyword: Random variable, L2 law of large numbers, Large numbers, Pettis integral, Riemann integral, and Khinchines law of large numbers Subject (JEL): C10 - Econometric and Statistical Methods and Methodology: General -
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Creator: Chari, V. V. and Hopenhayn, Hugo Andres Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 326 Abstract: 'Structural unemployment' is said to occur in regions or 'sectors' of the economy as a consequence of technological changes. In this paper we present a model which provides an environment which gives rise to unemployment which could be labelled structural unemployment. There is exogenous technological change and vintage specific human capital. Unemployment arises as workers specialized in a particular technology within a vintage decide to search for a job within their vintage, so that their previously acquired special skills are used, instead of getting employed as unskilled workers in the newest vintage. As the rate of technological change increases, the incentives to reassign specialized workers to their same vintage, inccuring therefore in search costs, becomes less attractive, and in consequence the fraction of specialized workers doing search activities decreases. This provides some rationale for the negative correlation between rates of growth and unemployment observed in the data.
Keyword: Human capital, Structural unemployment, Skills, Vintage human capital, Labor market, Unemployment, Growth, and Technology Subject (JEL): J24 - Human Capital; Skills; Occupational Choice; Labor Productivity and E24 - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity -
Creator: Christiano, Lawrence J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 301 Abstract: This paper presents a completely worked example applying the frequency domain estimation strategy proposed by Hansen and Sargent [1980, 1981a]. A bivariate, high order continuous time autoregressive moving average model is estimated subject to the restrictions implied by the rational expectations model of the term structure of interest rates. The estimation strategy takes into account the fact that one of the data series are point-in-time observations, while the other are time averaged. Alternative strategies are considered for taking into account nonstationarity in the data. Computing times reported in the paper demonstrate that estimation using the techniques of Hansen and Sargent is inexpensive.
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Creator: Sargent, Thomas J. and Wallace, Neil Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 192 Keyword: Bimetallism, Gold, Silver, Commodity standard, and Seignorage Subject (JEL): E42 - Monetary Systems; Standards; Regimes; Government and the Monetary System; Payment Systems -
Creator: Christiano, Lawrence J. and Eichenbaum, Martin S. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 306 Abstract: This paper examines the quantitative importance of temporal aggregation bias in distorting parameter estimates and hypothesis tests. Our strategy is to consider two empirical examples in which temporal aggregation bias has the potential to account for results which are widely viewed as being anomalous from the perspective of particular economic models. Our first example investigates the possibility that temporal aggregation bias can lead to spurious Granger causality relationships. The quantitative importance of this possibility is examined in the context of Granger causal relations between the growth rates of money and various measures of aggregate output. Our second example investigates the possibility that temporal aggregation bias can account for the slow speeds of adjustment typically obtained with stock adjustment models. The quantitative importance of this possibility is examined in the context of a particular class of continuous and discrete time equilibrium models of inventories and sales. The different models are compared on the basis of the behavioral implications of the estimated values of the structural parameters which we obtain and their overall statistical performance. The empirical results from both examples provide support for the view that temporal aggregation bias can be quantitatively important in the sense of significantly distorting inference.
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Creator: Litterman, Robert B. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 287 Keyword: BVAR, Bayesian vector autoregression, Bayesian VAR, Forecast, and Statistics Subject (JEL): C53 - Forecasting Models; Simulation Methods -
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Creator: Williamson, Stephen D. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 405 Abstract: A model is constructed where banks provide access to a communication technology which facilitates trade. Bank liabilities may coexist with alternative means of payment in equilibrium, and there exist regions of the parameter space where banking dominates the payments system and where physical exchange media dominate. The model is consistent with some observations concerning the role of the banking system in economic development, and with characteristics of banking crises. In particular, in early stages of economic development: 1) rapid output growth is accompanied by an increasing share of banking in transactions activity and 2) there are recurrent banking "panics" where reductions in measured aggregate output coincide with increases in the use of alternative means of payment relative to bank liabilities. In later stages of development, growth slackens off, the share of banking in the payments system stabilizes and the economy is less likely to be subject to banking panics.
Keyword: Communication technology, Banking panics, Communication cost, Financial panic, and Banks Subject (JEL): G21 - Banks; Depository Institutions; Micro Finance Institutions; Mortgages and O33 - Technological Change: Choices and Consequences; Diffusion Processes -
Creator: Chari, V. V.; Kehoe, Patrick J.; and Prescott, Edward C. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 365 Keyword: Monetary policy, Macroeconomics, Choice, Decision making, and Economic policy Subject (JEL): E61 - Policy Objectives; Policy Designs and Consistency; Policy Coordination and D81 - Criteria for Decision-Making under Risk and Uncertainty -
Creator: Aiyagari, S. Rao Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 376 Abstract: We describe a simple environment in which assets of varying qualities may be used for transactions and consumption. The quality of an asset is known to the seller but not the buyer. We show that this feature can generate a negative relationship between the transactions velocities of assets and their rates of return. We also discuss several versions of Gresham's Law which hold in this environment.
Keyword: Transactions, Asset quality, Gresham's Law, and Consumption Subject (JEL): E42 - Monetary Systems; Standards; Regimes; Government and the Monetary System; Payment Systems -
Creator: Christiano, Lawrence J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 165 Abstract: Theory typically does not give us reason to believe that economic models ought to be formulated at the same level of time aggregation at which data happen to be available. Nevertheless, this is frequently done when formulating econometric models, with potentially important specification-error implications. This suggests examining the alternatives, one of which is to model in continuous time. The primary difficulty in inferring the parameters of a continuous time model given sampled observations is the “aliasing identification problem.” This paper shows how the restrictions implied by rational expectations sometimes do, and sometimes do not, resolve the problem. This is accomplished very simply in the context of a hypothesis about the term structure of interest rates. The paper confirms and extends results obtained for another example by Hansen and Sargent.
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Creator: Aiyagari, S. Rao Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 319 Abstract: We consider the existence of deterministically cycling steady state equilibria in a class of stationary overlapping generations models with sufficiently long (but, finite) lived agents. Preferences are of the discounted sum of utilities type with a fixed discount rate. Utility functions with large coefficients of relative risk aversion which generate strong income effects (relative to substitution effects) and backward bending offer curves are permitted. Lifetime endowment patterns are quite arbitrary. We show that if agents have a positive discount rate, then as agents1 lifespans get large, short period non-monetary cycles will disappear. Further, constant monetary steady states do not exist and therefore, neither do stationary monetary cycles of any period. We then consider the case where agents have a negative discount rate and show that there are robust examples in which constant monetary steady states as well as stationary monetary cycles (with undiminished amplitude) can occur no matter how long agents live.
Keyword: Monetary theory, Intertemporal choice, Longevity, and Business cycles Subject (JEL): D91 - Micro-Based Behavioral Economics: Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making and N10 - Economic History: Macroeconomics and Monetary Economics; Industrial Structure; Growth; Fluctuations: General, International, or Comparative -
Creator: Roberds, William Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 291 Abstract: Methods are presented for solving a certain class of rational expectations models, principally those that arise from dynamic games. The methods allow for numerical solution using spectral factorization algorithms, and estimation of these models using maximum likelihood techniques.
Keyword: LQG, Dynamic game, Linear-quadratic-Gaussian, Rational expectations, and Variational method Subject (JEL): C73 - Stochastic and Dynamic Games; Evolutionary Games; Repeated Games -
Creator: Greenwood, Jeremy, 1953- and Williamson, Stephen D. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 363 Abstract: A two country overlapping generations model is constructed, in which financial intermediation arises endogenously as an incentive compatible means of economizing on monitoring costs. Because of international credit markets. The model is used to generate the existence of transaction costs, money markets in the two countries are segmented and investors have differential access to predictions concerning the role of international intermediation in economic development, and to examine the nature of business cycle phenomena across alternative exchange rate regimes. Disturbances are propagated by a credit allocation mechanism, which also lends a novel flavor to the model's long run properties.
Keyword: Economic models, Business cycles, Financial policy , Exchange rate, and Generations Subject (JEL): E32 - Business Fluctuations; Cycles and F41 - Open Economy Macroeconomics -
Creator: Bryant, John B. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 155 Abstract: A new approach to market behavior is suggested. This approach has a coherent game theoretic foundaton, addresses such anomalous economic behaviors as strikes, rigid wages and unemployment, regulation of financial markets, depresssion, and nonmarket allocation, and, more generally, provides insights for Finance, Oligopoly Theory, Industrial Organization, and Macroeconomics. The central theme of the approach is that exchange technologies are a basic building block in a model, as are tastes, endowments, and production technologies. Moreover, the key feature of an institution of exchange is that it allows the making of a binding final offer.
Keyword: Market behavior, Bargaining problem, and Competitive allocation Subject (JEL): D51 - Exchange and Production Economies and C72 - Noncooperative Games -