A DSGE model with housing in the cointegrated VAR framework

In order to empirically investigate the assumptions underlying a theoretical dynamic stochastic general equilibrium (DSGE) model, the long-run and the short-run structure of the model may be imposed in the framework given by a cointegrated vector autoregression (CVAR) model. This allows testing restrictions pertaining to the model without filtering the data before estimating the model. A DSGE model which includes financial markets is tested in the CVAR framework, and restrictions from the theoretical model are mainly rejected. Comparing impulse response functions from the theoretical model and the restricted empirical model also show that the results from the theoretical model are not found in the data. This suggests that the theoretical model needs to be extended or modified before it can match the empirical observations.     

A structural VAR business cycle model for a volatile small open economy

New Zealand is a small economy exposed to a volatile climate, relatively volatile international trade prices, and its exposure to international financial markets has increased markedly since economic reforms in the 1980s. This paper applies identification techniques suggested by Cushman and Zha [Cushman, D.O. and Zha T.A., 1997. Identifying monetary policy in a small open economy under flexible exchange rates, Journal of Monetary Economics, 39, pp. 433–448.], Zha [Zha, T.A., (1999). Block recursion and structural vector autoregression, Journal of Econometrics, 90, pp. 291–316.] and Dungey and Pagan [Dungey, M. and Pagan, A., 2000. A structural VAR model of the Australian economy, The Economic Record, 76, pp. 321–342.] to develop a large four block structural VAR model of the New Zealand business cycle to capture these features. The model reveals that climate and international trade price shocks have been more important sources of business cycles fluctuations than international or domestic financial shocks. Furthermore, the model does not encounter the price and exchange rate puzzles that have bedevilled attempts to identify monetary policy shocks in small open economy SVAR models.     

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.     

A structural VAR model of the Fiji Islands

A four-dimensional Structural Vector Auto-regression (SVAR) model is applied to investigate the implications of fuel imports and devaluation policy on Fiji's current account deficits and economic growth. The paper finds that short-term deterioration of the current account is partly due to higher fuel imports. The impulse response analysis shows that a standard deviation fall in Fiji's REER leads to a J-curve type response in the current account within a short period. Furthermore, fuel import demand and devaluations are found to have negative, but transitory, effect on economic growth.     

A fractionally cointegrated VAR analysis of economic voting and political support

We use a fractionally cointegrated vector autoregressive model to examine the relationship between Canadian political support and macroeconomic conditions. This model is well suited for the analysis because it allows multiple fractional time series and admits simple asymptotic inference for the model parameters and tests of the hypotheses of interest. In the long‐run equilibrium, we find that support for the Progressive Conservative Party was higher during periods of high interest rates and low unemployment, while support for the Liberal Party was higher during periods of low interest rates and high unemployment. We also test and reject the notion that party support is driven only by relative (to the United States) economic performance. Indeed, our findings suggest that US macroeconomic variables do not enter the long‐run equilibrium of Canadian economic voting (political opinion poll support) at all.     

Exchange rate volatility and export performance: a cointegrated VAR approach

During the last decades Norwegian exporters have–despite various forms of exchange rate targeting–faced a rather volatile exchange rate which may have influenced their behaviour. Recently, the shift to inflation targeting and a freely floating exchange rate has brought about an even more volatile exchange rate. We examine the causal link between export performance and exchange rate volatility across different monetary policy regimes within the cointegrated Vector Autoregression (VAR) framework using the implied conditional variance from a Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model as a measure of volatility. Although treating the volatility measure as either a stationary or a nonstationary variable in the VAR, we are not able to find any evidence suggesting that export performance has been significantly affected by exchange rate uncertainty. We find, however, that volatility changes proxied by blip dummies related to the monetary policy change from a fixed to a managed floating exchange rate and the Asian financial crises during the 1990s enter significantly in a dynamic model for export growth–in which the level of relative prices and world market demand together with the level of exports constitute a significant cointegration relationship. A forecasting exercise on the dynamic model rejects the hypothesis that increased exchange rate volatility in the wake of inflation targeting in the monetary policy has had a significant impact on export performance.     

Bias correcting adjustment coefficients in a cointegrated VAR with known cointegrating vectors

The maximum likelihood estimator of the adjustment coefficient in a cointegrated vector autoregressive model (CVAR) is generally biased. For the case where the cointegrating vector is known in a first-order CVAR with no intercept, we derive a condition for the unbiasedness of the maximum likelihood estimator of the adjustment coefficients, and provide a simple characterization of the bias in case this condition is violated. A feasible bias correction method is shown to virtually eliminate the bias over a large part of the parameter space.     

A spectral decomposition for structural VAR models

Based on structural VARs, this paper proposes a spectral decomposition which allows to infer the effects of changes in one variable on the other variables in the frequency domain. It is shown that there is a close relationship between this concept and conventional forecast error variance decomposition techniques for VARs. An empirical example demonstrates the usefulness of this additional tool in analyzing the relationships among time series.     

Monetary transmission mechanisms in a small open economy: a Bayesian structural VAR approach

Abstract This paper develops a Bayesian structural VAR model for Canada in order to estimate the effects of monetary policy shocks, using the overnight rate target as the policy instrument. I allow the policy variable and other home and foreign variables to interact with each other contemporaneously. The key finding is that monetary policy affects the real economy through both the market interest rate and the exchange rate. I also find that the Bank of Canada responds to any home and foreign variables that embodies information about future inflation and that external shocks are an important source of output fluctuations.     

Aggregate demand gap based on a simple structural VAR model

This paper presents aggregate demand gaps for seven OECD countries using structural VAR estimation. These estimates are far more robust than HP-filtered series-typical estimates for GDP-gaps-and demonstrate that both aggregate demand and supply shocks were important in the recent global financial crisis.     

Financial development and the shadow economy: A panel VAR analysis

This paper examines the dynamic relationship between financial development and the shadow economy using data for 161 countries over the period 1960–2009. Specifically, we use a panel vector autoregression model to construct impulse response functions that illustrate the time path of one variable (e.g., the shadow economy) following an orthogonal shock to another variable (e.g., financial development). We find that financial development reduces the size of the shadow economy. Moreover, there is some evidence of reverse causality between these variables; namely, a shock to shadow economy inhibits financial development.     

A structural VAR approach on labour taxation policies

This paper presents a Structural VAR analysis on the employment and output effects of labour tax policies in six European countries for the period 1974–1997. By considering impulse response functions, it turns out that, on average, a shock to the total personal income tax revenues is positively correlated to employment, whereas there is mixed evidence on the output effect. Moreover, the quantitative impact of these effects, especially those related to the output, appears to be quite small. However, by introducing explicitly four labour tax parameters (namely the marginal and average tax rates for the personal income tax and the payroll tax), it turns out that these effects are not negligible after all: for some countries it is possible to conceive labour taxes as policy instruments favouring more employment and a better economic performance. However, the empirical support on the sign of the output and employment effects is mixed, suggesting that the same domestic fiscal policy does not produce the same impact in all the European countries.     

A structural Bayesian VAR for model-based fan charts

Inflation forecast uncertainty is of importance for a wide range of agents in the economy, central banks in particular. Ways to describe and account for this uncertainty in a consistent manner have received increasing attention of late, in part due to the growing number of inflation-targeting central banks. This article develops a large structural VAR for the Swedish economy and estimates it in a Bayesian framework. The methodology permits not only structural interpretation and analysis but offers a natural way to formalize forecast uncertainty, as the posterior predictive density from the model has the interpretation of a fan chart.     

The role of China in the world economy: evidence from a global VAR model

Since the 1980s, China has experienced very high economic growth, and its share in global trade has increased rapidly. Currently, however, the Chinese economy is rebalancing, and its growth is slowing. This paper investigates the spillover effects on other countries of a negative demand shock and negative stock price shock in the Chinese economy. We apply a global vector autoregressive model, which enables us to model international linkages between countries. Our results show that a one per cent negative China GDP shock reduces global growth by 0.22% in the short run. We find that GDP shock affects emerging economies more strongly than advanced economies. We also show that a stock price shock affects only emerging economies and does not affect advanced economies.     

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.     

Canadian monetary policy analysis using a structural VARMA model

This paper builds a structural VARMA (SVARMA) model for investigating Canadian monetary policy. Using the scalar component methodology proposed by Athanasopoulos and Vahid (2008a), we first identify a VARMA model and then construct a SVARMA for Canadian monetary policy. Relative to the responses by a structural VAR, the responses generated by the SVARMA are consistent with those supported by various theoretical models and solve economic puzzles commonly found in the empirical literature on monetary policy. The superior out‐of‐sample forecasting performance of the reduced form VARMA compared to VAR alternatives further advocates the suitability of this framework for small open economies.     

A structural model of price and exchange rate dynamics in a small open economy

Conclusions A major result following from the analysis of ourstructural model of inflation under flexible exchange rates is that there is no such thing asstructural inflation in the long run. Long-run inflation rather becomes a purely monetary phenomenon if exchange rates are flexible and if on an international level functioning capital markets are postulated. While, in the light of the assumptions made in Part III, this finding is not nearly as paradoxical as it may appear at first sight, it can hardly be overemphasized considering the ongoing theoretical discussion and the empirical research on the Scandinavian approach to inflation and recalling that the Scandinavian model is basically intended to picture equilibrium dynamics.The results concerning equilibrium price and exchange rate dynamics also apply to the equilibriumlevels of prices and the exchange rate, i. e., the equilibrium price level depends exclusively on monetary factors while the equilibrium exchange rate is determined by a purchasing power parity element and the structural productivity gap component.Turning to the results of our analysis of disequilibrium dynamics, the overall picture does not change very much. Here the qualitative pattern of adjustment of both prices and the exchange rate is again completely independent of structural variables, but is exclusively determined by four adjustment coefficients. However, the particular quantitative values assumed by prices and the exchange rate during the adjustment process do indeed reflect the impact of the productivity gap.No conclusions can be derived from our model on the amount of time it takes to return to the neighbourhood of equilibrium once the economy has been subjected to some kind of external shock. A casual examination of post-1973 developments and especially the Swiss experience suggest, however, that in the case of a disturbance as, e. g., in the form of a monetary contraction (relative to the rest of the world), the economy may take so long to return to the neighbourhood of long-run equilibrium that the negative real consequences of the overvaluation of the domestic currency during the adjustment process provide a momentous rationale for short-run stabilization interventions in the foreign exchange market.We should like to thank Peter Bernholz and an anonymous referee for helpful comments on a previous version of this paper.     

Germany before and after unification: A structural VAR analysis

Recent theoretical research in business cycle modelling has aimed at putting forward a unified framework for studying both short-term cycles and long-term growth. Empirical research based on structural vector-autoregression has established that the same factors which drive long-run growth also explain a large proportion of the movements of key macro variables at business cycle frequencies. The present paper aims at applying this approach to study the determinants of the post-unification downturn in Germany. The results suggest that German business cycles were not all alike. Whilst adverse supply shocks clearly matter before unification, it is primarily adverse aggregate demand shocks and a too tight monetary policy which dominate the German post-unification decline in output growth rates.     

The forecasting ability of a cointegrated VAR system of the UK tourism demand for France, Spain and Portugal

This paper uses the vector autoregressive (VAR) methodology as an alternative to Deaton and Muellbauer’s Almost Ideal Demand System (AIDS), to establish the long-run relationships between I(1) variables: tourism shares, tourism prices and UK tourism budget. With appropriate testing, the deterministic components and sets of exogenous and endogenous variables of the VAR are established, and Johansen’s rank test is used to determine the number of cointegrated vectors in the system. The cointegrated VAR structural form is identified and the long-run structural parameters are estimated. Theoretical restrictions such as homogeneity and symmetry are tested and not rejected by the VAR structure. The fully restricted cointegrated VAR model reveals itself a theoretically consistent and statistically robust means to analyse the long-run demand behaviour of UK tourists, and an accurate multi-step forecaster of the destinations’ shares when compared with unrestricted reduced form and first differenced VARs, or even with the structural AIDS model.     

A forecasting model of the Kenyan economy

A demand-oriented macroeconometric model of the Kenyan economy is developed and estimated in line with the cointegration technique. The estimated structure of the model is used to perform policy simulation experiments to determine the sensitivity of key macroeconomic variables to changes in exchange rate, net government current expenditure and nominal interest rate. The results of policy simulation experiments reveal that the exchange rate and fiscal policies are relatively more effective than the monetary policy, i.e. changing the nominal interest rate, in influencing the level of economic activity. The results point to the possibility of devaluation improving the international trade balance.