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Full-Text Articles in Economics

Evaluating The Information Content And Money Making Ability Of Forecasts From Exchange Rate Equations, Ray C. Fair Dec 1997

Evaluating The Information Content And Money Making Ability Of Forecasts From Exchange Rate Equations, Ray C. Fair

Cowles Foundation Discussion Papers

This paper evaluates a particular set of equations for the dollar/yen and dollar/mark exchange rates. The forecasts from the equations dominate both forecasts from the random walk model and forecasts using the forward rate. The results also suggest that money may be able to be made in the forward markets using the equations.


Why Not Cut Pay?, Truman F. Bewley Nov 1997

Why Not Cut Pay?, Truman F. Bewley

Cowles Foundation Discussion Papers

Over 300 business people, labor leaders, business consultants, and counselors of unemployed people were interviewed during the recession of the early 1990’s in order to learn why wages and salaries were declining in only a few firms. Employers believed that cutting pay would hurt employee morale, leading to lower productivity and current or future difficulties with hiring and retention. There were few indications that unemployed people had excessive wage expectations. On the contrary, many unemployed were too flexible and found themselves rejected by firms as overqualified.


The Existence And Asymptotic Properties Of A Backfitting Projection Algorithm Under Weak Conditions, Oliver B. Linton, E. Mammen, Jens Perch Nielsen Sep 1997

The Existence And Asymptotic Properties Of A Backfitting Projection Algorithm Under Weak Conditions, Oliver B. Linton, E. Mammen, Jens Perch Nielsen

Cowles Foundation Discussion Papers

We derive the asymptotic distribution of a new backfitting procedure for estimating the closest additive approximation to a nonparametric regression function. The procedure employs a recent projection interpretation of popular kernel estimators provided by Mammen et al. (1997), and the asymptotic theory of our estimators is derived using the theory of additive projections reviewed in Bickel et al. (1995). Our procedure achieves the same bias and variance as the oracle estimator based on knowing the other components, and in this sense improves on the method analyzed in Opsomer and Ruppert (1997). We provide ‘high level’ conditions independent of the sampling …


An Adf Coefficient Test For A Unit Root In Arma Models Of Unknown Order With Empirical Applications To The U.S. Economy, Zhijie Xiao, Peter C.B. Phillips Sep 1997

An Adf Coefficient Test For A Unit Root In Arma Models Of Unknown Order With Empirical Applications To The U.S. Economy, Zhijie Xiao, Peter C.B. Phillips

Cowles Foundation Discussion Papers

This paper proposes an ADF coefficient test for detecting the presence of a unit root in ARMA models of unknown order. Our approach is fully parametric. When the time series has an unknown deterministic trend, we propose a modified version of the ADF coefficient test based on quasi-differencing in the construction of the detrending regression as in Elliot, Rothenberg and Stock (1996). The limit distributions of these test statistics are derived. Empirical applications of these tests for common macroeconomic time series in the US economy are reported and compared with the usual ADF t -test.


Regressions For Partially Identified, Cointegrated Simultaneous Equations, In Choi, Peter C.B. Phillips Sep 1997

Regressions For Partially Identified, Cointegrated Simultaneous Equations, In Choi, Peter C.B. Phillips

Cowles Foundation Discussion Papers

This paper studies regressions for partially identified equations in simultaneous equations models (SEMs) where all the variables are I(l) and cointegrating relations are present. Asymptotic properties of OLS and 2SLS estimators under partial identification are derived. The results show that the identifiabilitv condition is important for consistency of estimates in nonstationary SEMs as it is for stationary SEMS. Also, OLS and 2SLS estimators are shown to have different rates of convergence and divergence under partial identification, though they have the same rates of convergence and divergence for the two polar cases of full identification and total lack of identifiability. Even …


Band Spectral Regression With Trending Data, Dean Corbae, Sam Ouliaris, Peter C.B. Phillips Sep 1997

Band Spectral Regression With Trending Data, Dean Corbae, Sam Ouliaris, Peter C.B. Phillips

Cowles Foundation Discussion Papers

Band spectral regression with deterministic and stochastic trends is considered. It is shown that conventional trend removal by regression in the time domain prior to band spectral regression leads to biased and inconsistent estimates of the parameters in a model with frequency dependent coefficients. Time domain and frequency domain procedures for dealing with this problem are examined. Trend removal in the frequency domain produces unbiased estimates and is recommended. An asymptotic theory is developed and the two cases of stationary data and cointegrated nonstationary data are compared. Efficient band spectral regression estimators and associated inferential methods are provided for models …


A Multifractal Model Of Asset Returns, Benoit Mandelbrot, Adlai Fisher, Laurent Calvet Sep 1997

A Multifractal Model Of Asset Returns, Benoit Mandelbrot, Adlai Fisher, Laurent Calvet

Cowles Foundation Discussion Papers

This paper presents the multifractal model of asset returns (“MMAR”), based upon the pioneering research into multifractal measures by Mandelbrot (1972, 1974). The multifractal model incorporates two elements of Mandelbrot’s past research that are now well-known in finance. First, the MMAR contains long-tails, as in Mandelbrot (1963), which focused on Lévy-stable distributions. In contrast to Mandelbrot (1963), this model does not necessarily imply infinite variance. Second. the model contains long-dependence, the characteristic feature of fractional Brownian Motion (FBM), introduced by Mandelbrot and van Ness (1968). In contrast to FBM, the multifractal model displays long dependence in the absolute value of …


Large Deviations And The Distribution Of Price Changes, Laurent Calvet, Adlai Fisher, Benoit Mandelbrot Sep 1997

Large Deviations And The Distribution Of Price Changes, Laurent Calvet, Adlai Fisher, Benoit Mandelbrot

Cowles Foundation Discussion Papers

The Multifractal Model of Asset Returns (“MMAR,” see Mandelbrot, Fisher, and Calvet, 1997) proposes a class of multifractal processes for the modelling of financial returns. In that paper, multifractal processes are defined by a scaling law for moments of the processes’ increments over finite time intervals. In the present paper, we discuss the local behavior of multifractal processes. We employ local Hölder exponents, a fundamental concept in real analysis that describes the local scaling properties of a realized path at any point in time. In contrast with the standard models of continuous time finance, multifractal processes contain a multiplicity of …


Multifractality Of Deutschemark/Us Dollar Exchange Rates, Adlai Fisher, Laurent Calvet, Benoit Mandelbrot Sep 1997

Multifractality Of Deutschemark/Us Dollar Exchange Rates, Adlai Fisher, Laurent Calvet, Benoit Mandelbrot

Cowles Foundation Discussion Papers

This paper presents the first empirical investigation of the Multifractal Model of Asset Returns (“MMAR”). The MMAR, developed in Mandelbrot, Fisher, and Calvet (1997), is an alternative to ARCH-type representations for modelling temporal heterogeneity in financial returns. Typically, researchers introduce temporal heterogeneity through time-varying conditional second moments in a discrete time framework. Multifractality introduces a new source of heterogeneity through time-varying local regularity in the price path. The concept of local Hölder exponent describes local regularity. Multifractal processes bridge the gap between locally Gaussian (Itô) diffusions and jump-diffusions by allowing a multiplicity of Hölder exponents. This paper investigates multifractality in …


Simple Counterexample To The Bootstrap, Donald W.K. Andrews Aug 1997

Simple Counterexample To The Bootstrap, Donald W.K. Andrews

Cowles Foundation Discussion Papers

The bootstrap of the maximum likelihood estimator of the mean of a sample of iid normal random variables with mean µ and variance one is not asymptotically correct to first order when the mean is restricted to be nonnegative. The problem occurs when the true value of the mean µ equals zero. This counterexample to the bootstrap generalizes to a wide variety of estimation problems in which the true parameter may be on the boundary of the parameter space. We provide some alternatives to the bootstrap that are asymptotically correct to first order. We consider two types of bootstrap percentile …


A Stochastic Infinite-Horizon Economy With Secured Lending, Or Unsecured Lending And Bankruptcy, Ioannis Karatzas, Martin Shubik, William D. Sudderth Aug 1997

A Stochastic Infinite-Horizon Economy With Secured Lending, Or Unsecured Lending And Bankruptcy, Ioannis Karatzas, Martin Shubik, William D. Sudderth

Cowles Foundation Discussion Papers

Modeling problems for a monetary economy are discussed and some examples are presented in the context of an infinite-horizon economy with one or two types of traders, who use fiat money to buy a single perishable consumption good. Three instances are considered, all with transactions in fiat money. The first model has no borrowing or lending. The second model permits both borrowing and lending, but all loans are secured. The third model has borrowing and unsecured lending, and takes into account the presence of debtors who are unable to honor their debts and go bankrupt. Borrowing and depositing take place …


A Model Of A Predatory State, Boaz Moselle, Ben Polak Aug 1997

A Model Of A Predatory State, Boaz Moselle, Ben Polak

Cowles Foundation Discussion Papers

We provide a model of a primitive state whose rulers extort taxes for their own ends. This ‘predatory’ state can result in lower levels of both output and popular welfare than either organized banditry or anarchy. The predatory state may provide public goods, such as protection or irrigation, and hence may superficially resemble a contractual state. But, the ability to provide such goods can actually reduce popular welfare after allowing for tax changes. We compare the revenues raised by taxation with those from banditry to get an idea when primitive states are likely to emerge. We then consider interactions between …


The Experiment In Applied Econometrics, James Tobin Aug 1997

The Experiment In Applied Econometrics, James Tobin

Cowles Foundation Discussion Papers

No abstract provided.


Model Selection In Partially Nonstationary Vector Autoregressive Processes With Reduced Rank Structure, John C. Chao, Peter C.B. Phillips Jul 1997

Model Selection In Partially Nonstationary Vector Autoregressive Processes With Reduced Rank Structure, John C. Chao, Peter C.B. Phillips

Cowles Foundation Discussion Papers

The current practice for determining the number of cointegrating vectors, or the cointegrating rank, in a vector autoregression (VAR) requires the investigator to perform a sequence of cointegration tests. However, as was shown in Johansen (1992), this type of sequential procedure does not lead to consistent estimation of the cointegrating rank. Moreover, these methods take as given the correct specification of the lag order of the VAR, though in actual applications the true lag length is rarely known, Simulation studies by Toda and Phillips (1994) and Chao (1993), on the other hand, have shown that test performance of these procedures …


Estimation When A Parameter Is On A Boundary: Theory And Applications, Donald W.K. Andrews Jun 1997

Estimation When A Parameter Is On A Boundary: Theory And Applications, Donald W.K. Andrews

Cowles Foundation Discussion Papers

This paper establishes the asymptotic distribution of extremum estimators when the true parameter lies on the boundary of the parameter space. The boundary may be linear, curved, and/or kinked. The asymptotic distribution is a function of a multivariate normal distribution in models without stochastic trends and a function of a multivariate Brownian motion in models with stochastic trends. The results apply to a wide variety of estimators and models. Examples treated explicitly in the paper are: (1) quasi-ML estimation of a random coefficients regression model with some coefficient variances equal to zero, (2) LS estimation of a regression model with …


The Significance Of The Market Portfolio, Stefano G. Athanasoulis, Robert J. Shiller Jun 1997

The Significance Of The Market Portfolio, Stefano G. Athanasoulis, Robert J. Shiller

Cowles Foundation Discussion Papers

The market portfolio (world portfolio) is in one sense a least important portfolio to provide to investors; there is always a better portfolio for social planners to make available to them. In a J -agent one-period stochastic endowment economy, where preferences are quadratic, the market portfolio is never spanned by the optimal markets a social planner would create. With identical preferences, the market portfolio is orthogonal to all J - 1 portfolios which achieve a first best solution. These conclusions rely on the assumption that the social planner has perfect information about agents’ utilities. We also show that as the …


Beyond The Cpi: An Augmented Cost Of Living Index (Acoli), William D. Nordhaus May 1997

Beyond The Cpi: An Augmented Cost Of Living Index (Acoli), William D. Nordhaus

Cowles Foundation Discussion Papers

This note examines the question of calculating an augmented cost of living index (ACOLI). The ACOLI is the appropriate deflator to apply to pretax market incomes when calculating economic well-being. Well-being includes, not only conventional consumer purchases, but also goods and services provided by employers, by mandated social regulations, and by tax-financed public goods. Because such augmented consumption is often provided in ways that raise prices but not market incomes, deflating with conventional price indexes may understate real income growth. An application of the ACOLI approach to the United States during the 1960-1994 period indicates that the conventional consumer price …


Second Order Approximation In A Linear Regression With Heteroskedasticity For Unknown Form, Oliver B. Linton May 1997

Second Order Approximation In A Linear Regression With Heteroskedasticity For Unknown Form, Oliver B. Linton

Cowles Foundation Discussion Papers

We develop stochastic expansions with remainder o P ( n –2µ ), where 0 < µ < 1/2, for a standardised semiparametric GLS estimator, a standard error, and a studentized statistic, in the linear regression model with heteroskedasticity of unknown form. We calculate the second moments of the truncated expansion, and use these approximations to compare two competing estimators and to define a method of bandwidth choice.


Can We Grow Faster?, James Tobin Apr 1997

Can We Grow Faster?, James Tobin

Cowles Foundation Discussion Papers

It is essential to distinguish between limits on national output and limits on its rate of growth. In the short run if output is below potential, demand stimulus can temporarily increase output and employment, with growth rates that cannot be sustained once the economy reaches full employment, potential output. This barrier is commonly called the NAIRU. The paper discusses the possibility that the economy can reach lower unemployment rates than previously thought, without increasing inflation. As to raising the sustainable rate of growth of potential output, the paper discusses skeptically various proposals: fiscal austerity, tax cuts, downsizing government. Many proposals …


Supply Constraints On Employment And Output: Nairu Versus Natural Rate, James Tobin Apr 1997

Supply Constraints On Employment And Output: Nairu Versus Natural Rate, James Tobin

Cowles Foundation Discussion Papers

NAIRU and NATURAL RATE are not synonymous. NAIRU is a macro outcome of an economy with many labor markets in diverse states of excess demand and excess supply. NAIRU represents an overall balance between the inflation-increasing pressures from excess-demand markets and the inflation-decreasing pressures from excess-supply markets. The natural rate, as described by Friedman, is a feature of walrasian market-clearing general equilibrium. While the NAIRU fits into a Keynesian model, the natural rate is an aspect of a New Classical model. The determinants of the two are theoretically different, and so are their implications for policy. The NAIRU varies from …


Asset Markets And Investment Decisions, A. De Waegenaere, Heracles M. Polemarchakis, L. Ventura Feb 1997

Asset Markets And Investment Decisions, A. De Waegenaere, Heracles M. Polemarchakis, L. Ventura

Cowles Foundation Discussion Papers

In an incomplete asset market, firms assign values to investment plans by projecting their payoffs on the span of the payoffs of marketed assets; equivalently, firms employ the Capital Asset Pricing Model. This is a criterion that does not require firms to possess information, such as the marginal valuation of revenue across date – events by shareholders, which is not observable; rather, it is based on information revealed by the prices and payoffs of marketed assets. Under standard assumptions, competitive equilibria exist. But, competitive equilibrium allocations need not satisfy a condition of constrained pareto optimality that recognizes the incompleteness of …


Some Higher Order Theory For A Consistent Nonparametric Model Specification Test, Yanqin Fan, Oliver B. Linton Feb 1997

Some Higher Order Theory For A Consistent Nonparametric Model Specification Test, Yanqin Fan, Oliver B. Linton

Cowles Foundation Discussion Papers

We provide second order theory for a smoothing-based model specification test. We derive the asymptotic cumulants and justify an Edgeworth distributional approximation valid to order close to n -1 . This is used to define size-corrected critical values whose null rejection frequency improves on the normal critical values. Our simulations confirm the efficacy of this method in moderate sized samples


Expanding The Scope Of Individual Risk Management: Moral Hazard And Other Behavioral Considerations, Robert J. Shiller Jan 1997

Expanding The Scope Of Individual Risk Management: Moral Hazard And Other Behavioral Considerations, Robert J. Shiller

Cowles Foundation Discussion Papers

There is a large potential for improving individual risk management through new risk management contracts and associated new index-settled derivatives. However, there are some difficult problems in designing contracts so that they will be used effectively. Individuals have idiosyncratic individual risks that can be hedged only at some real resource cost due to moral hazard. Individuals seem to exhibit behavior indicative of lack of appreciation of the principles of risk management. These problems are discussed, and some potential new risk management contracts that would make improvements in the management of major income risks are proposed


Stochastic Algorithms For Dynamic Models: Markov Perfect Equilibrium, And The ‘Curse’ Of Dimensionality, Ariel Pakes, Paul Mcguire Jan 1997

Stochastic Algorithms For Dynamic Models: Markov Perfect Equilibrium, And The ‘Curse’ Of Dimensionality, Ariel Pakes, Paul Mcguire

Cowles Foundation Discussion Papers

This paper provides an algorithm for computing policies for dynamic economic models whose state vectors evolve as ergodic Markov processes. The algorithm can be described as a simple learning process (one that agents might actually use). It has two features which break the relationship between its computational requirements and the dimension of the model’s state space. First the integral over future states needed to determine policies is never calculated; rather it is estimated by a simple average of past outcomes. Second, the algorithm never computes policies at all points. Iterations are defined by a location and only policies at that …


Consistent Moment Selection Procedures For Generalized Method Of Moments Estimation, Donald W.K. Andrews Jan 1997

Consistent Moment Selection Procedures For Generalized Method Of Moments Estimation, Donald W.K. Andrews

Cowles Foundation Discussion Papers

This paper considers a generalized method of moments (GMM) estimation problem in which one has a vector of moment conditions, some of which are correct and some incorrect. The paper introduces several procedures for consistently selecting the correct moment conditions. The procedures also can consistently determine whether there is a sufficient number of correct moment conditions to identify the unknown parameters of interest. The paper specifies moment selection criteria that are GMM analogues of the widely used BIC and AIC model selection criteria. (The latter is not consistent.) The paper also considers downward and upward testing procedures. All of the …


The Generalized War Of Attrition, Jeremy I. Bulow, Paul D. Klemperer Dec 1996

The Generalized War Of Attrition, Jeremy I. Bulow, Paul D. Klemperer

Cowles Foundation Discussion Papers

We generalize the War of Attrition model to allow for N + K firms competing for N prizes. Two special cases are of particular interest. First, if firms continue to pay their full costs after dropping out (as in a standard-setting context), each firm’s exit time is independent both of K and of the actions of other players. Second, in the limit in which firms pay no costs after dropping out (as in a natural-oligopoly problem), the field is immediately reduced to N + 1 firms. Furthermore, we have perfect sorting, so it is always the K -1 lowest-value players …


Promises Promises, John Geanakoplos Dec 1996

Promises Promises, John Geanakoplos

Cowles Foundation Discussion Papers

In the classical general equilibrium model, agents keep all their promises, every good is traded, and competition prevents any agent from earning superior returns on investments in financial markets. In this paper I introduce the age-old problem of broken promises into the general equilibrium model, and I find that a new market dynamic emerges. Given the legal system and institutions, market forces of supply and demand will establish the collateral levels which are required to secure promises. Since physical collateral will typically be scarce, these collateral levels will be set so low that there is bound to be some default. …


Prices, Asset Markets And Indeterminacy, Heracles M. Polemarchakis, P. Siconolfi Nov 1996

Prices, Asset Markets And Indeterminacy, Heracles M. Polemarchakis, P. Siconolfi

Cowles Foundation Discussion Papers

Competitive equilibrium allocations are indeterminate when the net trades in commodities are constrained, while the asset market is incomplete


Bayesian Posterior Distributions In Limited Information Analysis Of The Simultaneous Equations Model Using The Jeffreys’ Prior, John C. Chao, Peter C.B. Phillips Nov 1996

Bayesian Posterior Distributions In Limited Information Analysis Of The Simultaneous Equations Model Using The Jeffreys’ Prior, John C. Chao, Peter C.B. Phillips

Cowles Foundation Discussion Papers

This paper studies the use of the Jeffreys’ prior in Bayesian analysis of the simultaneous equations model (SEM). Exact representations are obtained for the posterior density of the structural coefficient beta in canonical SEM’s with two endogenous variables. For the general case with m endogenous variables and an unknown covariance matrix, the Laplace approximation is used to derive an analytic formula for the same posterior density. Both the exact and the approximate formulas we derive are found to exhibit Cauchy-like tails analogous to comparable results in the classical literature on LIML estimation. Moreover, in the special case of a two-equation, …


Market Diffusion With Two-Sided Learning, Dirk Bergemann, Juuso Välimäki Nov 1996

Market Diffusion With Two-Sided Learning, Dirk Bergemann, Juuso Välimäki

Cowles Foundation Discussion Papers

The diffusion of a new product of uncertain value is analyzed in a duopolistic market in continuous time. The two sides of the market, buyers and sellers, learn the true value of the new product over time as a result of experimentation. Buyers have heterogeneous preferences over the products and sellers compete in prices. The pricing policies and market shares of the sellers in the unique Markov perfect equilibrium are obtained explicitly. The dynamics of the equilibrium market shares display excessive sales of the new product relative to the social optimum in early stages and too low sales later on. …