A cointegrated structural VAR model of the Canadian economy

This paper implements a cointegrated structural VAR model of the Canadian economy using quarterly data over the period 1964–1994. The dynamic properties of the estimated model are compared to the predictions of a simple textbook macro model. Four long-run equilibrium relationships are tested: (i) consumption–income; (ii) consumption–wealth; (iii) money demand; and (iv) the Fisher equation. The empirical results obtained are generally consistent with the predictions of the textbook model's long-run implications, although level shifts are observed in the consumption/income and the wealth/income ratios. Similarly it is found that there was an increase in the ex post real interest rate, implying a level shift in the Fisher relation, following the Bank of Canada's policy change towards a stable price level target.     

A comparison of the Beveridge curve dynamics in Italy and USA

In this article, we investigate the Beveridge curve dynamics in the USA and Italy by means of a cointegrated structural VAR model. A simple economic model is introduced to motivate the identifying assumptions of the empirical analysis. A stable long-run relationship is found for both countries. In order to study the dynamic behaviour of the model, and to decompose unemployment and vacancy fluctuations, we identify three common stochastic trends. The empirical results suggest that there are some sources of hysteresis in unemployment in both countries. Transitory shocks are also identified to account for the short-run dynamics of the model. The approach allows us to detach the long-run from the short-run dynamics, in order to provide information on the cyclical and structural Beveridge curve.     

An empirical study of outbound tourism demand in the UK

A general to specific methodology is used to construct UK demand for outbound tourism models to twelve destinations. A tourism destination preference index is introduced to take into account social, cultural and psychological influences on tourists' decisions concerning their overseas holiday destinations. The tests support the existence of a cointegration relationship for each of 11 UK overseas holiday destinations. The corresponding error correction models are estimated. The empirical results show that the long-run income elasticities for all destinations range from 1.70 to 3.90 with an average of 2.367. The lowest and highest short-run income elasticities are 1.05 and 3.78 respectively, with an average of 2.216. The estimates of the income elasticities imply that overseas holidays are highly income elastic while the own-price elasticities suggest that the demand for UK outbound tourism is relatively own-price inelastic. In terms of the significance of substitution prices in the regression equations, Ireland is the favourite substitute destination for UK outbound tourists. Ex post forecasts over a period of six years are generated from the ECM models and the results compared with those of a naive model, an AR(1) model, an ARMA(p,q) model, and a VAR model. The forecasting performance criteria show that the ECM model has the best overall forecasting performance for UK outbound tourism.     

Time-varying parameter error correction models: the demand for money in Venezuela, 1983.I-1994.IV

The possibility of using time-varying parameter models in the context of error correction models is studied empirically. As an application, a money demand relationship (M1) for Venezuela is estimated from 1983 to 1994 within a cointegrated VAR framework. First, the stochastic properties of the series are analysed, studying each corresponding order of integration. Second, the existence of a long-run stable relation between the variables involved has been investigated, and then the cointegration relation and the short-run adjustment mechanism estimated. As both relations are identified in the context of constant parameters a stability analysis is performed. Finally, the technique of Kalman filtering is used to estimate a model that permits the short-run parameters to vary, while the parameters of the long-run relation are kept constant.     

Monetary transmission in Spain: a structural cointegrated VAR approach

This paper analyses the monetary policy channels in Spain using a cointegrated structural VAR approach which explicitly accounts for endogenous policy reactions in a small open economy. Evidence is found of one cointegrating relation which is identified as a long-run money demand function. In addition, stability tests are applied to this relationship to assess whether there has been a change of monetary regime. The impulse-responses for the non-monetary shocks as well as the absence of the puzzles traditionally found in the empirical literature, suggest that the model specification identifies the monetary policy shocks correctly. Thus, according to our results, a monetary contraction causes a weak downward response in the price level, as well as an increase in both short and long-run nominal interest rates, a decrease in aggregate output and an exchange rate appreciation.     

The demand for alcohol in the United Kingdom

Using the AIDS model, we show that there exists for the UK a stable long-run relationship between expenditure shares on beer, cider, spirits and wine, alcohol prices, total alcohol expenditure and a range of non-economic variables relating to advertising, licensing, the employment, social class and demographic characteristics of consumers, and climate. Our estimates of key price and income elasticities generally lie between those found from other time-series studies (which exclude most of these non-economic variables) and those found from cross-section studies (which generally include them). However, the restrictions required for separability, homegeneity and symmetry (although not those for perfect price aggregation) are decisively rejected.     

Cointegration and common trends on the West German labour market

In this paper we analyze the West German labour market by means of a cointegrated structural VAR model. We find sensible stable long-run relationships that are interpreted as a labour demand, a wage setting and a goods market equilibrium. In order to study the dynamic behaviour of the model we identify two common trends that push unemployment. We find that goods market shocks have only transitory impacts on unemployment. In the long run, it is almost equally determined by technology and labour supply factors. However, transitory shocks have major importance in the shorter run since adjustment processes are rather sluggish. First version received: Sept. 1998/Final version accepted: Feb. 2000     

Estimation of the specification error in the expectations theory of the term structure

This paper tackles the issue of the procyclicality of the real wage. We present a dynamic relationship between real wages and employment consistent with the long-run stationary equilibrium using a cointegrated VAR model. We find that wages are anticyclical and that a negative relationship between real wages and employment is necessary to achieve an economically identifiable stationary long run solution. The contentiousness of the topic does not appear so important once we recall some measurement issues and economic features of the Italian labour market.     

A risk-driven approach to exchange rate modelling

The paper presents a new approach to exchange rate modelling that augments the CHEER model with a sovereign credit default risk as perceived by financial investors making their decisions. In the cointegrated VAR system with nine variables comprised of the short- and long-term interest rates in Poland and the euro area, inflation rates, CDS indices and the zloty/euro exchange rate, four long-run relationships were found. Two of them link term spreads with inflation rates, the third one describes the exchange rate and the fourth one explains the inflation rate in Poland. Transmission of shocks was analysed by common stochastic trends. The estimation results were used to calculate the zloty/euro equilibrium exchange rate.     

Financial reporting quality and price competition among nonprofit firms

The article examines some statistical evidence that supports the view that US labour and capital shares of income return to some long-run historical values. We estimate the long-run share values and the length of time it takes to converge to them. We account for the interdependence of the shares by using a vector error–correction model, and this specification is tested against a VAR alternative using Johansen's method to characterize the properties of the cointegrating vector. We find support for the idea that labour and capital shares have historically been mean reverting, in spite of the fairly restrictive assumptions implied when invoking the Cobb–Douglas production function as the rationale. The cumulative impulse response functions indicate that for capital and labour shares, the time required to revert back to long run levels is in the order of thirty quarters.     

The Causality between R&D and Productivity in Manufacturing: An international disaggregate panel data study

This study analyses the causality between productivity and domestic and foreign R&D on the basis of panel data with respect to 22 manufacturing sectors in 14 OECD countries during the period 1972-94. A unit root analysis shows that the relation between the log of total factor productivity (TFP) and the logs of domestic and foreign R&D is cointegrated. Causality tests are performed on corresponding dynamic VAR and error correction augmented VAR models, estimated both on the total panel and on 22 sub-panels, sector by sector. Their results show that, although there are feedbacks, both on average and in a clear majority of sectors the causation runs mainly from the R&D variables to TFP rather than the other way round. This causation is, moreover, shown to be, in the first place, long-run in nature. It is concluded that, when considered in conjunction, these results suggest an essentially supply-type rather than demand-pull kind of interpretation of the cointegrating relation between TFP and R&D.     

Analysis of long-run benefits from international equity diversification between Taiwan and its major European trading partners: an empirical note

This paper employs four cointegration test approaches, PO, HI, JJ and KSS, to test for pairwise long-run equilibrium relationships between Taiwan's stock price index and each of the stock price indexes of four European markets – French, German, Dutch, and British stock markets. The results from these four tests are robust and clearly consistent in suggesting that the Taiwan stock market is not pairwise cointegrated with the four European stock markets. This provides strong evidence that there exist long-run benefits for Taiwan investors diversifying in the equity markets of Taiwan's major European trading partners, France, Germany, Holland, and the UK, over the sample period considered from 6 January 1998 to 30 May 2002. These findings could be valuable to Taiwan individual investors and financial institutions holding long-run investment portfolios in the equity markets of France, Germany, Holland, and the UK.     

A simple test of exogeneity for recursively structured VAR models

The restriction of exogeneity of certain variables in structural VAR models is rarely tested for consistency with the actual data. The reason is obvious: such a test requires estimates of the structural parameters. This paper proposes a solution for models that assume long-run or contemporaneous recursive structures in identification. We show that in such cases, the exogeneity restriction can be assessed statistically using the well-known Granger non-causality test which is conveniently performed in the reduced-form VAR model. Two empirical examples are offered to demonstrate the usefulness of this result.     

Inflation adjustment in the open economy: an I(2) analysis of UK prices

This paper estimates a cointegrated vector autoregressive (VAR) model for UK data on consumer prices, unit labour costs, import prices and real consumption growth. The estimated VAR indicates that the nominal variables are characterised by I(2) trends, and that a linear combination of these processes cointegrate to I(1). This supports an analysis in which I(1) and I(2) restrictions are imposed. A key finding is that an increase in real import prices reduces productivity adjusted real wages, such that the change in domestic inflation is moderated. This may explain why the depreciation of sterling in 1992 left inflation unchanged.

Long- and short-run determinants of capital flows to Latin America: a long-run structural GVAR model

This article documents the determinants of capital flows to Argentina, Brazil and Mexico, assessing the relative importance of domestic and international factors through the estimation of a long-run structural Global VAR model of the world economy. The results show that in the long-run international factors prevail on domestic factors as determinants of the equilibrium behaviour of Net Foreign Assets (NFA) and also provide overwhelming evidence that domestic shocks are predominantly responsible for their short-run dynamics. Although all previous studies focus on the US economic influence, one striking result of this article is that the US variables are by no means the main external factors affecting Latin American NFA.     

Estimation of a German money demand system – a long-run analysis

This study presents a multivariate analysis of the stability of long-run relationships between variables that influence the conduct and transmission process of the German monetary policy. The initial VAR comprises the variables real money M3, real GNP, the inflation rate, a long-term and a weighted short-term interest rate. A multivariate approach has been chosen, as this allows for more than one cointegration relationship and to test restrictions on the cointegration space. In contrast to most other studies on German monetary policy, three stable and economically plausible cointegration relationships are obtained simultaneously within the framework of the Johansen procedure: a money demand relationship, a long-run Fisher effect and a long-run relationship between the short- and the long-term interest rate. It is apparent that the structural break of German reunification can be modelled incorporating dummy variables in the model. First version received: October 1996/final version received: July 1997     

Assessing the role of futures position substitutability in a monthly slaughtered pork factor demand by US processors: a cointegrated VAR model approach

This article combines cointegrated VAR modelling with basic neoclassical production microeconomics in a new way that tests for, and illuminates the empirical nature of, the monthly US pork processing sector’s factor demand for slaughtered pork. Statistical evidence strongly suggests that the US pork processing sector has a Hicksian Cobb–Douglas slaughtered pork demand that arises from applying Shephard’s lemma to the sector’s cost function and that US pork processors treat slaughtered pork and related futures positions as close factor substitutes. In the wake of major and ongoing futures market events and trends, this study establishes and statistically tests a theoretical link between futures price movements and impacts on the underlying slaughtered pork market through monthly formation of US pork processors’ factor demand for slaughtered pork. Evidence suggests that demand agents shift between demands for the two substitutes based on movements in the slaughter/futures price ratio that results in a market-stabilizing cushion against sharp pork price movements such as those observed in the late-1990s. Statistical and diagnostic evidence suggests that our modelled non-experimental data and estimated Hicksian demand that arose from the cointegrated VAR model’s cointegration space met Haavelmo’s setting of passive variables and associated ceteris paribus conditions.     

A learning-based model of repeated games with incomplete information

This paper tests a learning-based model of strategic teaching in repeated games with incomplete information. The repeated game has a long-run player whose type is unknown to a group of short-run players. The proposed model assumes a fraction of ‘short-run’ players follow a one-parameter learning model (self-tuning EWA). In addition, some ‘long-run’ players are myopic while others are sophisticated and rationally anticipate how short-run players adjust their actions over time and “teach” the short-run players to maximize their long-run payoffs. All players optimize noisily. The proposed model nests an agent-based quantal-response equilibrium (AQRE) and the standard equilibrium models as special cases. Using data from 28 experimental sessions of trust and entry repeated games, including 8 previously unpublished sessions, the model fits substantially better than chance and much better than standard equilibrium models. Estimates show that most of the long-run players are sophisticated, and short-run players become more sophisticated with experience.     

Turkish monetary policy and components of aggregate demand: a VAR analysis with sign restrictions model

This article estimates the effects of monetary policy on components of aggregate demand using quarterly data on Turkish economy from 1987–2008 by means of structural Vector Autoregression (VAR) methodology. This study adopts Uhlig's (2005) sign restrictions on the impulse responses of main macroeconomic variables to identify monetary shock. This study finds that expansionary monetary policy stimulates output through consumption and investment in the short-run. However, expansionary monetary policy is ineffective in the long-run.     

The Effects of Monetary Policy Shocks in the USA: A Forecast‐Augmented VAR Approach

This paper formulates a forward‐looking monetary policy function for the USA in a structural vector autoregression (VAR) model, by using forecasts of key macroeconomic variables, in addition to the ex post realised variables used in a standard VAR. Since this forecast‐augmented VAR (FOAVAR) uses both forecasted and realised variables, and the standard VAR uses only realised variables, the standard VAR is nested in the FOAVAR. I find that the Fed responds to forecasted macroeconomic variables more significantly than realised variables. I also find that the monetary policy shock in the FOAVAR generates impulse responses of variables that are consistent with the predictions of economic theories, while the policy shock in the standard VAR causes a price puzzle: an increase in the price level due to a contractionary policy shock. These results suggest that a monetary policy function identified in a standard VAR, by using only realised macroeconomic variables, may incorrectly represent the Fed's policy function.