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Creator: Diba, Behzad and Oh, Seonghwan Series: Business analysis committee meeting Abstract: This paper reports some empirical evidence on the relation between the expected real interest rate and monetary aggregates in postwar U.S. data. We find some evidence against the hypothesis, implied by the Real Business Cycle model of Litterman and Weiss (1985), that the expected real interest rate follows a univariate autoregressive process, not Granger-caused by monetary aggregates. Our findings, however, are consistent with a more general bivariate model--suggested by what Barro (1987, Chapter 5) refers to as "the basic market-clearing model"--in which the real rate depends on its own lagged values and on lagged output. Taking this bivariate model as our null hypothesis, we find no evidence that money-stock changes have a significant liquidity effect on the expected real interest rate.
Subject (JEL): E43 - Interest Rates: Determination, Term Structure, and Effects, E32 - Business Fluctuations; Cycles, and E51 - Money Supply; Credit; Money Multipliers -
Creator: Den Haan, Wouter J., 1962- Series: Nonlinear rational expectations modeling group Abstract: The objective of this paper is to investigate whether, in a Sidrauski type model with uncertainty, welfare maximization calls for following the famous "Chicago Rule". This question will be answered in the affirmative in this paper, i.e. social welfare optimization calls for a zero nominal interest rate on one-period bonds. The zero nominal interest rate, however, does not imply in an uncertain world that there is no systematic difference between the expected rate of deflation and the rate of time preference in an economy without growth. The magnitude of this difference turns out to be small, however. Numerical welfare comparisons are made between the optimal policy and policies in which the growth rate of money is fixed. The optimal policy requires that the monetary authorities react every period to the available information and they choose a growth level of the money stock that will set the interest rate equal to zero. If we compare the time paths of the real variables under the optimal policy with the time paths if the money supply decreases at a rate equal to the rate of time preference, then we see hardly any differences. The price dynamics can be very different, however. The paper also investigates the issue of superneutrality and finds that the quantitative deviations from superneutrality are substantial if a model with a shopping time technology is used. The neo-classical models in this paper are solved numerically using a technique developed in Marcet (1988).
Subject (JEL): E31 - Price Level; Inflation; Deflation and E52 - Monetary Policy -
Creator: Braun, Steven and Krane, Spencer D. Series: Business analysis committee meeting Keyword: Handout Subject (JEL): M11 - Production Management, D21 - Firm Behavior: Theory, and G31 - Capital Budgeting; Fixed Investment and Inventory Studies; Capacity -
Creator: Uhlig, Harald, 1961- Series: Nonlinear rational expectations modeling group Subject (JEL): C63 - Computational Techniques; Simulation Modeling and C51 - Model Construction and Estimation -
Creator: Taylor, John B. Series: Nonlinear rational expectations modeling group Keyword: Rational expectation models Subject (JEL): C51 - Model Construction and Estimation and C63 - Computational Techniques; Simulation Modeling -
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Creator: Coleman, Wilbur John Series: Nonlinear rational expectations modeling group Abstract: A cash-in-advance constraint on consumption is incorporated into a standard model of consumption and capital accumulation. Monetary policy consists of lump-sum cash transfers. Methods are developed for establishing the existence and uniqueness of an equilibrium and for explicitly constructing this equilibrium. The model economy's dependence on monetary policy is explored.
Description: Also published in the International Finance Discussion Paper series, number 323.
Keyword: Equilibrium, Planned Growth economy, and Monetary Growth economy Subject (JEL): E52 - Monetary Policy, E31 - Price Level; Inflation; Deflation, O42 - Monetary Growth Models, and O41 - One, Two, and Multisector Growth Models -
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.
Subject (JEL): C63 - Computational Techniques; Simulation Modeling, E51 - Money Supply; Credit; Money Multipliers, and C61 - Optimization Techniques; Programming Models; Dynamic Analysis -
Creator: Aschauer, David Alan Series: Business analysis committee meeting Abstract: This paper considers the relationship between total private factor productivity and stock and flow government expenditure variables. The empirical results indicate that (i) the nonmilitary public capital stock is dramatically more important in determining productivity than is either the flow of nonmilitary or military spending, (ii) military capital is not productive, and (iii) the public stock of structures--especially a "core" infrastructure of streets, highways, sewers, and water systems--has more explanatory power for productivity than does the stock of equipment. The paper also suggests an important role for the net public capital stock in the "productivity slowdown" of the last fifteen years.
Subject (JEL): D24 - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity and H54 - National Government Expenditures and Related Policies: Infrastructures; Other Public Investment and Capital Stock -
Creator: Todd, Richard M. Series: Business analysis committee meeting Description: Version without Software Appendix appears on the Federal Reserve Bank of Minneapolis Web site at http://www.minneapolisfed.org/publications_papers/pub_display.cfm?id=571
Keyword: BVAR, Vector autoregression, and Bayesian analysis Subject (JEL): C53 - Forecasting Models; Simulation Methods -
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Creator: Roberds, William Series: Business analysis committee meeting Abstract: One of the more significant developments in econometric modeling over the past decade has been the invention of the forecasting technique known as Bayesian vector autoregression (BVAR). This paper provides a detailed description of the process of specifying a BVAR model of quarterly time series on the U.S. macroeconomy. The postsample forecasting performance of the model is evaluated at an informal level by comparing the model's performance to certain naive forecasting methods, and is evaluated at a formal level by means of efficiency tests. Although the null hypothesis of efficiency is rejected for the model's forecasts, the accuracy of the model exceeds that of naive forecasting methods, and seems comparable to that of commercial forecasting firms for early quarter forecasts.
Keyword: Vector autoregression, BVAR, and Bayesian analysis Subject (JEL): C11 - Bayesian Analysis: General and C53 - Forecasting Models; Simulation Methods -
Creator: Chari, V. V.; Kehoe, Patrick J.; and Prescott, Edward C. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 115 Abstract: No abstract available.
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Creator: Greenwood, Jeremy, 1953- and Williamson, Stephen D. Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 112 Abstract: This paper presents a two-country overlapping generations model in which financial intermediation arises endogenously as an incentive-compatible means of economizing on monitoring costs. Because of the existence of transactions costs, money markets in the two countries are segmented and investors have differential access to international credit markets. The model is used to generate predictions about 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.
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Creator: Kollintzas, Tryphon, 1953- Series: Staff report (Federal Reserve Bank of Minneapolis. Research Department) Number: 113 Abstract: This paper derives a variance bounds test for a broad class of linear rational expectations models. According to this test, if observed data accord with the model, then a weighted sum of auto-covariances of the covariance-stationary components of the endogenous state variables should be nonnegative. The new test reinterprets West’s (1986) variance bounds test and extends its applicability by not requiring observable exogenous state variables, covariance-stationary exogenous or endogenous state variables, or a zero initial value for the endogenous state variable. The paper also discusses the possibility of the new test’s application to nonlinear models.
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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: 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: 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: 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: 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: 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: 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: 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 -
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 -
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Creator: Miller, Preston J. and Roberds, William Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 418 Keyword: Structural model, Budget deficit, Real interest rates, Deficit, and Budget Subject (JEL): E61 - Policy Objectives; Policy Designs and Consistency; Policy Coordination and H61 - National Budget; Budget Systems -
Creator: Boyd, John H.; Prescott, Edward C.; and Smith, Bruce D. (Bruce David), 1954-2002 Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 385 Abstract: Three economic environments are reviewed, and in each organizations play an essential role. For an adverse selection insurance economy, we find that when mutual insurance arrangements are permitted an equilibrium necessarily exists and is optimal. This example, and the two others, illustrate the problems that may result from imposing organizational structure on an environment rather than permitting the structure to be determined endogenously.
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Creator: Todd, Richard M. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 407 Abstract: Doan, Litterman, and Sims have described a method for estimating Bayesian vector autoregressive (BVAR) forecasting models. The method has been successfully applied to the U.S. macroeconomic dataset, which is relatively long and stable. Despite the brevity and volatility of the post-1976 Chilean macroeconomic dataset, this paper shows that a straightforward application of the DLS method to this dataset, with simple modifications to allow for delays in the release of data, also appears to satisfy at least one criterion of relative forecasting accuracy suggested by Doan, Litterman, and Sims. However, the forecast errors of the Chilean BVARs are still large in absolute terms.Also, the model's coefficients change sharply in periods marked by policy shifts, such as the floating of the peso in 1982.
Keyword: Bayesian autoregressive vector forecasting models and Chile Subject (JEL): O54 - Economywide Country Studies: Latin America; Caribbean -
Creator: Boyd, John H. and Graham, Stanley L. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 378 Keyword: Bank holding companies, Securities , Nonbank activities, Insurance, Real estate, and Risk Subject (JEL): G21 - Banks; Depository Institutions; Micro Finance Institutions; Mortgages and C15 - Statistical Simulation Methods: General -
Creator: Boyd, John H.; Graham, Stanley L.; and Hewitt, R. Shawn Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 417 Keyword: Bank, Merger, and Firm Subject (JEL): G21 - Banks; Depository Institutions; Micro Finance Institutions; Mortgages and G34 - Mergers; Acquisitions; Restructuring; Voting; Proxy Contests; Corporate Governance -
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Creator: Kehoe, Patrick J. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 392 Keyword: Aps example, Discounted repeated game, Game theory, and Repeated game Subject (JEL): C73 - Stochastic and Dynamic Games; Evolutionary Games; Repeated Games -
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Creator: Kehoe, Timothy Jerome, 1953-; Levine, David K.; and Romer, Paul Michael, 1955- Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 400 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 a set of 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.
Keyword: Consumer, Dynamic model, and Equilibrium Subject (JEL): C62 - Existence and Stability Conditions of Equilibrium -
Creator: Chari, V. V. and Jagannathan, Ravi Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 320 Abstract: This paper shows that bank runs can be modeled as an equilibrium phenomenon. We demonstrate that some aspects of the intuitive “story” that bank runs start with fears of insolvency of banks can be rigorously modeled. If individuals observe long “lines” at the bank, they correctly infer that there is a possibility that the bank is about to fail and precipitate a bank run. However, bank runs occur even when no one has any adverse information. Extra market constraints such as suspension of convertibility can prevent bank runs and result in superior allocations.
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Creator: Levine, David K. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 386 Abstract: In a monetary model, it is shown that if there is a unique Pareto inefficient barter equilibrium, then a monetary equilibrium exists when traders are sufficiently patient.
Keyword: Money, Inflation, Barter equilibria, Monetary equilbria, and Consumers Subject (JEL): D51 - Exchange and Production Economies and E42 - Monetary Systems; Standards; Regimes; Government and the Monetary System; Payment Systems -
Creator: Todd, Richard M. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 355 Abstract: Forecasts are routinely revised, and these revisions are often the subject of informal analysis and discussion. This paper argues 1) that forecast revisions are analyzed because they help forecasters and forecast users to evaluate forecasts and forecasting procedures, and 2) that these analyses can be sharpened by using the forecasting model to systematically express its forecast revision as the sum of components identified with specific data revisions and forecast errors. An algorithm for this purpose is explained and illustrated.
Keyword: Innovation, Forecast revisions, Data revisions, and Forecasting Subject (JEL): E17 - General Aggregative Models: Forecasting and Simulation: Models and Applications -
Creator: Levine, David K. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 388 Abstract: Previous authors have argued that the optimal monetary policy is contractionary. If buyers value consumption substantially more than sellers, there is some randomness and informational constraints make asset trading useful, we show that there is an incentive compatible expansionary policy that dominates all incentive compatible contractionary policies.
Keyword: Contraction, Optimal monetary policy, Expansion, Asset trading, Private information, and Trade Subject (JEL): D82 - Asymmetric and Private Information; Mechanism Design and E52 - Monetary Policy -
Creator: Chari, V. V. and Jones, Larry E. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 324 Abstract: This paper examines the validity of one very special version of Coase's Theorem. The version we examine is that in any economy in which the property rights are fully allocated, competition will lead to efficient allocations. One repercussion of this result is that one way to "solve" the public goods problem would be to allocate property rights fully, transforming the economy to a private goods one and let markets do their work. This is particularly appealing due to its decentralized nature, but one must question the claim that the market will lead to efficient outcomes in this case. That is, the privatized economy created above is of a very special type which, as it turns out is highly susceptible to strategic behavior. We show that the "mechanism" suggested above is not likely to work well in economies with either pure public goods or "global" externalities. Basically, the free-rider problem manifests itself as one of monopoly power in this private goods setting. On the other hand, if the public goods or externalities are "local" in nature, there is reason to hope that this (and perhaps other) mechanism(s) will work well. The work is related to the recent literature on the foundations of Walrasian Equilibrium in that it points up a relationship between the appropriateness of Walrasian equilibrium as a solution concept, the incentives for strategic play, the aggregate level of complementarities in the economy and the problem of coordinating economic activity.
Keyword: Coordinating economic activity, Property rights, Coase's Theorem, Competition, and Walrasian Equilibrium Subject (JEL): H41 - Public Goods -
Creator: Boyd, John H. and Graham, Stanley L. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Department) Number: 398 Abstract: This study estimates the effects of allowing bank holding companies (BHCs) to enter several lines of financial business not now permitted. A simulation technique is used to estimate the risk and return of hypothetical financial corporations after merger between a BHC and a large firm in each of these industries: securities, real estate, life insurance, property and casualty insurance, and insurance agencies. The study concludes that a merger between a BHC and a life insurance company may decrease the probability of bankruptcy for the merged firm relative to the BHC alone. This result does not hold true, however, for BHC mergers with firms in the other industries. In particular, BHC mergers with securities or real estate firms are found to increase the probability of bankruptcy.
Keyword: Bankruptcy, Bank holding companies, Securities, Merger, Insurance, Risk, Real estate, and Bank holding company Subject (JEL): G32 - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill, G21 - Banks; Depository Institutions; Micro Finance Institutions; Mortgages, and G28 - Financial Institutions and Services: Government Policy and Regulation -
Creator: Miller, Preston J. Series: Quarterly review (Federal Reserve Bank of Minneapolis. Research Department) Number: Vol. 12, No. 1 -
Creator: Runkle, David Edward Series: Quarterly review (Federal Reserve Bank of Minneapolis. Research Department) Number: Vol. 12, No. 1 -
Creator: Labadie, Pamela, 1953- Series: Discussion paper (Federal Reserve Bank of Minneapolis. Institute for Empirical Macroeconomics) Number: 005 Abstract: Stochastic inflation affects the risk characteristics, measured by the equity premium and the correlation of the equity’s return with consumption, in a fundamental way. The riskiness of a dollar-denominated asset depends on two conditional covariances: the covariance of the marginal rate of substitution (MRS) with the equity price and the covariance of the MRS with the rate of appreciation in the purchasing power of money. The second covariance may take either sign which becomes significant when the risk characteristics of the dollar-denominated asset are compared with the risk characteristics of an indexed asset constructed in a real version of the model.
The effects of stochastic inflation on the assets’ risk characteristics are studied in a parameterized version of a cash-in-advance asset-pricing model. The growth rates of the endowment and monetary transfer evolve according to a VAR. The equity price is a geometric distributed lead of log–normally distributed random variables; an algorithm to express the price as an explicit function of the state variables is described.
Subject (JEL): G12 - Asset Pricing; Trading Volume; Bond Interest Rates, E31 - Price Level; Inflation; Deflation, and G32 - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill -
Creator: Sims, Christopher A. Series: Discussion paper (Federal Reserve Bank of Minneapolis. Institute for Empirical Macroeconomics) Number: 003 Abstract: This paper examines several grounds for doubting the value of much of the special attention recently devoted to unit root econometrics. Unit root hypotheses are less well connected to economic theory than is often suggested or assumed; distribution theory for tests of other hypotheses in models containing unit roots are less often affected by the presence of unit roots than has been widely recognized; and the Bayesian inferential theory for dynamic models is largely unaffected by the presence of unit roots. The paper displays an example to show that when Bayesian probability statements and classical marginal significance levels diverge as they do for unit root models, the marginal significance levels are misleading. The paper shows how to carry out Bayesian inference when discrete weight is given to the unit root null hypothesis in a univariate model.
Keyword: Unit roots, Bayesian econometrics, and Autoregression Subject (JEL): C11 - Bayesian Analysis: General -
Creator: Miller, Preston J. Series: Quarterly review (Federal Reserve Bank of Minneapolis. Research Department) Number: Vol. 12, No. 3 -
Creator: Rolnick, Arthur J., 1944- and Weber, Warren E. Series: Quarterly review (Federal Reserve Bank of Minneapolis. Research Department) Number: Vol. 12, No. 2 -
Creator: Sims, Christopher A. and Uhlig, Harald, 1961- Series: Discussion paper (Federal Reserve Bank of Minneapolis. Institute for Empirical Macroeconomics) Number: 004 Abstract: For the first-order univariate autoregression without constant term, the joint p.d.f (corresponding to a flat prior) for the true coeffecient p and the least squares estimate p-hat is estimated by Monte Carlo and graphically displayed. The graphs show how the symmetric distribution of p|p-hat coexists with the assymetric distribution of p-hat|p. Treating tail areas of the p-hat|p distribution as if they summarized evidence in the data about the location of p amounts to ignoring the shrinkage in the variance of p-hat|p as p approaches one. Prior p.d.f.'s implicit in treating classical significance levels as if they were Bayesian conditional probabilities are calculated. They are shown to depend sensitively on p-hat and to put substantial probability on p's above one.
Keyword: Autoregression, Unit roots, and Bayesian econometrics Subject (JEL): C11 - Bayesian Analysis: General -
Creator: Chari, V. V. Series: Quarterly review (Federal Reserve Bank of Minneapolis. Research Department) Number: Vol. 12, No. 4 -
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Creator: Miller, Preston J. Series: Quarterly review (Federal Reserve Bank of Minneapolis. Research Department) Number: Vol. 12, No. 2 -
Creator: Miller, Preston J. Series: Quarterly review (Federal Reserve Bank of Minneapolis. Research Department) Number: Vol. 12, No. 4 -
Creator: Granger, C.W.J. (Clive William John), 1934-2009 and Uhlig, Harald, 1961- Series: Discussion paper (Federal Reserve Bank of Minneapolis. Institute for Empirical Macroeconomics) Number: 002 Abstract: Leamer (1983) suggested to study the range of estimators β˅0 in the model y=Xβ + δ when imposing linear constraints of the form M (Cβ - c) = 0 where only C and c are fixed. However the extremes may come from models with a bad R^2, say. In this paper we give the exact bounds when only considering models with R^2 ≥ (1 - δ) R^2 max + δR^2 min. These exact bounds can be found from calculating only two regressions. We apply our techniques to study the velocity of money.
Keyword: Linear restrictions, Generalized least squares, Velocity of money, and Extreme bounds analysis Subject (JEL): C11 - Bayesian Analysis: General, C68 - Computable General Equilibrium Models, and E51 - Money Supply; Credit; Money Multipliers