Dynamic specification of demand functions: A cointegration approach

The single-equation approach has been commonly used in the studies of energy demand. However, as most of the data used in the energy demand model are unlikely to be stationary, this factor has to be taken into account when estimating the demand behavior. To overcome this problem, the authors have applied the cointegration and error-correction models to model Chinese coal consumption data. In order to contrast their performance with such traditional models as Hendry's general-to-specific approach, a forecast error comparison exercise has been conducted. In terms ofex post forecast errors, the Engle-Granger error correction model outperforms other chosen models. By using the Engle-Granger approach, it is possible to obtain important information about the behavior of coal demand in China.     

On the specification of granger-causality tests using the cointegration methodology

The application of Granger-causality tests to macroeconomic time series frequently necessitates filtering the data to induce stationarity. If the relevant variables are cointegrated, Granger-causality tests are misspecified if applied in standard vector autoregressive format to differenced data. A common application is illustrated.     

Testing for cointegration with threshold effect between unemployment and stock prices

Under the dominant role of a belief function, Farmer argues that the stock market is the Granger cause of the unemployment rate, which implies that the natural rate hypothesis is an outdated idea. This article provides some new empirical evidence supporting this view using threshold cointegration and asymmetric error correction models. The results show that these models can assess asymmetric dynamics between unemployment and the stock market. Moreover, regime switches of the momentum threshold autoregressive adjustment specification are highly consistent with recessions in the US economy during the last 60 years.     

Testing for seasonal integration and cointegration: The Austrian consumption income relationship

This paper analyzes the nature of seasonal fluctuations in quarterly observations for Austrian consumption and income data. We begin with univariate tests of the order of integration and then move on to tests of cointegration. Seasonally adjusted as well as raw data are used in these tests. in univariate tests, the outcome for seasonally adjusted and raw data is in line. The unit roots at the zero frequency found in the seasonally adjusted series are also present in the raw data. In bivariate tests, the results for seasonally adjusted and raw data differ. While we find cointegration at the zero frequency between consumption and income for seasonally adjusted series, this hypothesis is generally rejected for the raw data.     

Testing the dynamic specification of an econometric model with an application to Belgian data

In this paper, we analyze the Final Equation and Transfer Function form associated with a linear dynamic simultaneous equation model and use the empirical findings as a guidance to a structural form specification in accordance with the information in a sample of monthly Belgian data.     

Testing for threshold cointegration and error correction: evidence in the petroleum futures market

This article examines the existence of threshold cointegration between futures and spot prices for the Brent petroleum market. We then estimate the asymmetric error-correction specification utilizing the Momentum Threshold Autoregressive Consistent (M-TAR-C) approach particularly proposed by Enders and Siklos (2001 Enders, W and Siklos, PL. 2001. Cointegration and threshold adjustment. Journal of Business and Economic Statistics, 19: 166–76. [Taylor & Francis Online], [Web of Science ®] , [Google Scholar]). We find that, for the daily data over 2 January 2001 through 15 October 2006, the petroleum futures prices are cointegrated with the spot prices. This effectively confirms the expectations hypothesis and that asymmetric adjustments for the futures basis towards the long-run value display a negative basis from the long-run equilibrium level more persistently than a positive basis from that level. The empirical result suggests that short-run arbitrages manipulating buy-long (sell-short) futures contracts be profitable when a positive basis is weakening (a negative basis is strengthening).     

Testing for substitutability in the mackerel market: a new method using fractional cointegration

This article seeks to extend knowledge of the mackerel (Scomber scombrus) market in the Basque Country (a region in Spain) by analysing possible relationships between this and other species with similar characteristics such as the sardine (Sardina pilchardus), the horse mackerel (Trachurus trachurus) and the Atlantic chub mackerel (Scomber colias), all of them landed at the ports of the Basque Country. Specifically, the goal is to learn whether these other species can be considered as mackerel substitutes. To that end, a fractional cointegration analysis of different series of historical prices is performed using a novel method never before used in studies of this type. The results indicate that mackerel have no substitutes, and thus form a mono-species regional market. This implies, among other things, that their price is not influenced by the prices of other species, and this should be taken into account by managers when designing management measures and policies to improve the sustainability of the fishing of this species.     

Testing fiscal sustainability in Poland: a Bayesian analysis of cointegration

Fiscal sustainability is a central topic for most of the transition economies of Eastern Europe. This paper focuses on a particular country: Poland. The main purpose is to investigate, empirically, whether the post-transition fiscal policy is consistent with the intertemporal budget constraint, used as a formal theoretical framework. To test debt stabilization, the empirical analysis is made in two steps: first, we use a Bayesian methodology to conduct inference about the cointegrating relationship between budget revenues and (inclusive of interest) expenditures and to select the cointegrating rank. Second, we apply Bayesian inference to the estimation of the cointegrating vector and of the adjustment parameters. With a single cointegrating relation, we make use of some known results concerning the posterior density of the cointegrating vector, which belongs to the poly-t densities class. In this way, we experiment the usefulness of Bayesian inference in precisely assessing the magnitude of the cointegrating vector. Moreover, we show to what extent the likelihood of the data is important in revising the available prior information, relying on numerical integration techniques.     

Testing for cointegration using the Johansen methodology when variables are near-integrated: size distortions and partial remedies

We investigate the properties of Johansen’s (J Econ Dyn Control 12:231–254, 1988; Econometrica 59:1551–1580, 1991) maximum eigenvalue and trace tests for cointegration under the empirically relevant situation of near-integrated variables. Using Monte Carlo techniques, we show that in a system with near-integrated variables, the probability of reaching an erroneous conclusion regarding the cointegrating rank of the system is generally substantially higher than the nominal size. The risk of concluding that completely unrelated series are cointegrated is therefore non-negligible. We suggest ways of identifying the problem and different approaches to reduce the size distortions of the tests.     

A dynamic specification of an AIDS import allocation model

In this paper we use the first-order autoregressive scheme in order to introduce dynamics into the AIDS model. We also consider the theoretical restrictions of additivity, homogeneity and symmetry, and use two different specifications of the covariance matrix. We estimate the models using import allocation data for the UK 1952–1979 of five EEC countries and test different specifications against each other.     

Tests for cointegration rank and the initial condition

Many economic events involve initial observations that substantially deviate from long-run steady state. Such initial conditions are known to affect the power of univariate unit root tests diversely, whereas their impact on multivariate tests is largely unknown. This paper investigates the impact of the initial condition on the power of tests for cointegration rank, such as Johansen??s widely used likelihood ratio test, tests with prior adjustment for deterministic terms, and a test based on the eigenvalues of the companion matrix. We find that the power of the likelihood ratio test is increasing in the magnitude of the initial condition, whereas the power of the other tests is generally decreasing. We exploit these findings in an application to price convergence.     

Testing cointegration between health care expenditure and GDP in Japan with the presence of a regime shift

Using quarterly data from 1994 through 2013, this article is the first to use the Hansen and Seo (2002) tests to examine the long-term relationship between real per-capita GDP (PGDP) and real per-capita health care expenditure (PHCE) in Japan with threshold effects. We detect the presence of a threshold cointegrating relationship between the two variables. In addition, we find that error correction adjustments are significantly conducted only through PGDP in a typical regime, whereas both PGDP and PHCE drive the adjustments in the extreme regime. We find that the extreme regime occurred mainly after Q4 2008, implying that the policy introducing the late-stage medical care system for the elderly in April 2008, which expanded the ratio of personal expenses for the elderly, may be effective for attaining a long-run equilibrium between PGDP and PHCE.     

The analysis of consumer demand in Greece. Model selection and dynamic specification

The paper analyses the pattern of consumer demand in Greece exploring systematically the questions of the functional form of demand that best fits the data, the appropriate dynamic structure and the empirical validity of the constraints of demand theory. A general dynamic Almost Ideal demand model for four categories of consumer non-durables for the period 1958–1994 is estimated. The maintained specification rejects the static AI, its counterparts implied by the partial adjustment and autoregressive disturbances models and, upon applying a non-nested test, the Rotterdam specification. However, it cannot reject homogeneity and symmetry nor the hypothesis of structural stability.     

Bootstrapping the autoregressive distributed lag test for cointegration

We propose a bootstrap autoregressive-distributed lag (ARDL) test. By applying the appropriate bootstrap method, some weaknesses underlying the Pesaran, Shin and Smith ARDL bounds test are addressed including size and power properties and the elimination of inconclusive inferences. In addition, inferences based solely on the significance of the F-test and single t-test from the ARDL bounds test are not sufficient to avoid degenerate cases. The bootstrap ARDL test provides an additional test on the significance of coefficients on lagged levels of the regressors, which provides a better insight into the cointegration status of the model.     

Bootstrap testing for cointegration of international commodity prices

This paper investigates cointegration with respect to nine commodity groups traded on international markets. Nonparametric bootstrapping is utilized in the testing procedure. Of the 21 pairs of price series, investigated here, for 13 the no-cointegration null hypothesis is rejected in favour for the cointegration of the series. In addition to five out of the remaining eight cases that were not cointegrated, a plausible explanation is the prevailing trade policy. Thus a great majority of the institutionally nonregulated cases turn out to get empirical support for being cointegrated. An important statistical finding is that the augmented Dickey-Fuller test for cointegration (CRADF) generally yields p-values that are close to the p-values obtained by the bootstrap testing. But once they differ substantially, it is usually an indication of irregular periods (e.g. structural changes) in the series. The paper conducts also a Monte Carlo simulation experiment to investigate the power and size properties of the tests. Generally the results indicate that the test procedures have pretty low power in small samples. Bootstrapping improves the testing somewhat by leading consistently to a bit more powerful inference.     

Fractional cointegration and the term structure

According to the expectations theory of the term structure of interest rates, the yield spread between long-term and short-term interest rates is an optimal predictor of future changes in short rates over the long-run. Results concerning the empirical validity of this hypothesis are not unanimous. These contradictions may be due to the fact that the traditional concept of cointegration is too restrictive. We refer here to the concept of fractional cointegration introduced by Granger (1986). We study the expectations theory by testing for the existence of a (fractional) cointegration relationship between short-term and long-term interest rates. There is evidence of fractional cointegration between interest rates for the G7 countries, with the exception of Germany.First version received: July 2002 / Final version received: July 2003We thank two anonymous referees for very helpful and detailed comments.     

Tests for cointegration allowing for an unknown number of breaks

This paper introduces cointegration tests allowing for an unknown number of breaks. The introduced tests assume that the unspecified number of breaks is smaller than or equal to the maximum number of breaks set a priori. Monte Carlo simulations provide two main results. First, the proposed tests perform as well as the tests of Gregory and Hansen (1996a) and Hatemi-J (2008), which assume one or two breaks a priori, when the cointegration relationship has one or two breaks. Second, the proposed tests perform better than the tests of Gregory and Hansen (1996a) and Hatemi-J (2008) when the cointegration relationship has more than three breaks or persistent Markov switching shifts. We also provide empirical applications for the money demand of the U.S. The empirical results show that the proposed tests reject the null hypothesis of no cointegration as compared to other tests.