Trend-cycle correlation, drift break and the estimation of trend and cycle in Canadian GDP

Abstract.  Univariate correlated trend cycle models are highly sensitive to the specifications of breaks in the data. This paper argues, using Monte Carlo experiments, that a bivariate correlated unobserved components (UC) framework with breaks delivers substantially more accurate results for the trend-cycle parameters than the corresponding univariate frameworks in a finite sample size. The paper estimates stochastic trend and cyclical fluctuations in Canada from a bivariate UC model. Results show a fairly volatile stochastic trend after the drift break and the negative trend-cycle shock correlation are accounted for. The estimated cyclical component is large, persistent, and consistent with ECRI denoted Canadian recessions.     

The election cycle in the inflation bias: evidence from the G-7 countries

This paper derives and evaluates empirical implications which separate the naive voters view [Nordhaus, W.D., 1975. The political business cycle. Review of Economic Studies 42, 169–190.] from the rational-voters view [Barro R., Gordon, D., 1983. Rules, discretion, and reputation in a model of monetary policy. Journal of Monetary Economics 12, 101–121.] under rational expectations. The observational equivalence of the two approaches obtained under a natural rate vanishes as output persistence is introduced. An analysis of inflation in the G-7 countries reveals election patterns supporting the joint hypothesis that demand shocks persist and that monetary policy courts retrospective voters. Patterns turn weaker as central banks become more independent, but do not disappear. Reducing inflationary bias not only requires more central bank independence, but as well less persistence.     

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.     

Rogoff revisited: The conservative central banker proposition under active fiscal policies

The paper re-examines Rogoff's [Rogoff, K., 1985. The Optimal Degree of Commitment to an Intermediate Monetary Target. Quarterly Journal of Economics 100, 1169–1189.] influential monetary policy result. It shows that responses of a conservative central banker and the resulting macroeconomic outcomes may be substantially different if interactions with (ambitious) fiscal policy are taken into account.     

Bayesian estimation of the output gap for a small open economy: The case of Canada

We introduce a novel approach for estimating output gaps for small open economies. Identification is based on a multivariate trend-cycle decomposition in which transitory exchange rate movements are linked to the output gap and inflation. The model is then applied to Canadian data.     

On the feasibility of monetary union: Does it make sense to look for shocks symmetry across countries when none of the countries constitutes an optimum currency area?

Usually, a monetary union is not considered feasible between countries if the correlations of shocks are positive but weak. This may not be so if the country with the larger output gap converges to full-employment equilibrium faster than the country with the smaller gap. We argue that common monetary policy can be destabilizing when countries' responses to non-monetary shocks are perfectly symmetric with a correlation of 1 but exhibit differing investment sensitivities to the real interest rate. We use Canada, Mexico and the United States to test the feasibility of a monetary union by documenting whether: 1) gross investments in Canada and Mexico are equally responsive to the real fund rate, and 2) Canada and Mexico's output growth and inflation respond differently to US monetary policy shocks and oil price shocks. This approach implicitly dictates whether the shocks themselves are symmetric or asymmetric. Using quarterly data and SVAR methodology, we conducted two layers of analysis. We estimated SVARs for the periods 1970–2008, 1970–1990 and 1991–2008 to find that a monetary union is feasible between Canada and the US for the first two sample periods. For Canada and Mexico, we find similar responses of output growth to US monetary policy shocks. We conducted further robustness tests by estimating two identified VARs with common US variables and oil prices for Canada and Mexico to assess commonality in responses to shocks with the US. These results affirm that a monetary union is also feasible between Canada and the US.     

Identifying the sources of energy use change: Multiple calibration decomposition analysis and structural decomposition analysis

Decomposition methodologies are requisite to identify the sources of changes in energy use or carbon dioxide emissions. This paper is an inquiry into the theoretical properties of such decomposition methodologies. The study first presents our new decomposition methodology – the Multiple Calibration Decomposition Analysis (MCDA) – as a tool for the investigation. Then, it theoretically reexamines an established decomposition methodology – the Structural Decomposition Analysis proposed by Casler and Rose (1998). Subsequently, the study empirically investigates the properties of both methodologies, applying them to an actual case: the changes in energy use and carbon dioxide emissions in Japan during the oil crises period, when the oil price had a significant influence on the economy. The result shows that understanding the theoretical properties of decomposition methodologies is essential for a precise interpretation of empirical results.     

HOW DO FISCAL CONSOLIDATION AND FISCAL STIMULI IMPACT ON THE SYNCHRONIZATION OF BUSINESS CYCLES?

Using quarterly data for a panel of advanced economies, we show that synchronized fiscal consolidation (stimulus) programmes in different countries make their business cycles more closely linked. We also find: (i) some evidence of decoupling when an inflation targeting regime is unilaterally adopted; (ii) an increase in business cycle synchronization when countries fix their exchange rates and become members of a monetary union; (iii) a positive effect of bilateral trade on the synchronization of business cycles. Global factors, such as a rise in global risk aversion and uncertainty and a reversal of nonstandard expansionary monetary policy, can also reduce the degree of co‐movement of business cycles across countries. From a policy perspective, our work shows that an inflation targeting regime coupled with simultaneous fiscal consolidations can lead to more business cycle synchronization.     

Optimal choice of monetary policy instruments under velocity and fiscal shocks

This paper, in the spirit of Poole [Poole, William, 1970. The Optimal Choice of Monetary Policy Instruments in a Simple Macro Model. Quarterly Journal of Economics, 84, 192–216.], studies how differently monetary and fiscal shocks influence the appropriate choice of the monetary policy regime. Velocity shocks are introduced by embedding a stochastic cash-in-advance constraint within the New Keynesian framework. In addition to optimal policy under discretion, three classic rules, interest rate targeting, monetary targeting, and the Taylor rule are ranked under both fiscal and velocity shocks. The non-stationarity of prices under the Taylor rule makes it inferior to the other rules under which prices are stationary. Monetary targeting, by stabilizing aggregate demand under fiscal shocks, outperforms interest rate targeting, while the latter provides a better insulation against velocity shocks. Monetary targeting (under fiscal shocks) and interest rate targeting (under velocity shocks) even outperform the optimal policy under discretion for sufficiently high intertemporal elasticities of consumption substitution.     

Has the EMU reduced wage growth and unemployment? Testing a model of trade union behavior

Grüner (2010) argues that the introduction of the European Monetary Union (EMU) led to lower wage growth and lower unemployment in participating countries. According to Grüner, monetary centralization increases the amplitude of national business cycles, which leads to higher unemployment risk. In order to counter-balance this effect, trade unions lower their claims for wage mark-ups, resulting in lower wage growth and lower unemployment. This paper uses macroeconomic data on OECD countries and a difference-in-differences approach to empirically test the implications of this model. Although we come up with some weak evidence for increased business cycle amplitudes within the EMU, we neither find a significant general effect of the EMU on wage growth nor on unemployment.     

A time-varying “natural” rate of interest for the euro area

We estimate a time-varying “natural” rate of interest (TVNRI) for a synthetic euro area over the period 1979Q1-2004Q4 using a small macroeconomic model, broadly following a methodology developed by Laubach and Williams [2003. Measuring the natural rate of interest. The Review of Economics and Statistics 85(4), 1063-1070] for the United States. The Kalman filter simultaneously estimates the output gap and the natural rate of interest. Our identifying assumptions include a close relationship between the TVNRI and the low-frequency fluctuations of potential output growth. The difference between the real rate of interest and its estimated natural level offers valuable insights into the monetary policy stance over the last two decades and a half.     

Labor immobility and the transmission mechanism of monetary policy in a monetary union

It is believed that a common monetary policy in a monetary union will have identical effects on different countries as long as these countries have identical fundamentals. We show that, when there is specialization in production, the terms of trade react to the shock. The transmission mechanism of a monetary shock has in this case an additional channel, the terms of trade. This is the case even if state contingent assets can be traded across countries. For a reasonable parametrization, the differential on the transmission across countries is quantitatively significant when compared with the effect on the union's aggregates. Monetary shocks create cycles with higher volatility in “poor” countries than in “richer” ones.     

Trends and cycles under changing economic conditions

The identification of trends and cycles is often a challenging task under sizeable changes in economic conditions. Business cycles have unique features, varying in duration, intensity and across countries. We propose an unobserved components model with flexible product and labour market equations to cope with evolving economic conditions, namely time-varying inflation processes and labour share trends. Moreover, we augment the information set with data-driven low-frequency movements in real variables before initiating a joint estimation of all unobserved components. We use the same model to establish an international comparison between the euro area and Portugal covering 40 years of data. We conclude that Portugal witnessed (i) a steeper potential output deceleration since the 1990s, driven initially by productivity and afterwards also by the labour and capital inputs; (ii) a pervasively higher volatility in labour and product markets; and (iii) a long-lived interruption in convergence trends after the 2000s.     

Testing the significance and the non-linearity of the Phillips trade-off in the Euro Area

This paper tests the significance and the non-linearity of the Phillips trade-off in the aggregate Euro Area, in an unobserved components model of stochastic NAIRU and trend output featuring the Phillips equation and the Okun law as main identifying equations, with quarterly data for 1970:I-2002:III. The Phillips curve turns out to be linear and its trade-off statistically significant, while non-linearity shows up in the Okun relation. The results prove to be robust to alternative lag length structures of the model, and to alternative non-linear functional forms. The trend-cycle decompositions estimated with the model capture the main features of the Euro Area’s recent macroeconomic record.First version received: 1 September 2003 / Final version received: June 2004CEMPRE - Centro de Estudos Macroeconómicos e Previsão - is supported by the Fundação para a Ciência e a Tecnologia, Portugal, through the Programa Operacional Ciência, Tecnologia e Inovação (POCTI) of the Quadro Comunitário de Apoio III, which is financed by FEDER and Portuguese funds.We thank comments on earlier versions by Fabio Canova, Miguel St Aubyn, Alvaro Almeida, Pete Richardson, Kevin Ross, and two anonymous referees. We acknowledge James D. Hamilton’s help with the confidence bands. The usual disclaimer applies.     

Non-Walrasian Labor Markets and Real Business Cycles

The standard real business cycle literature mainly focuses on Walrasian models designed to fit the U.S. institutional framework. Differences between the United States and Europe, mostly evident in the labor market, suggest that a purely Walrasian model may be inappropriate for the study of European business cycles. I present a stochastic version of the dynamic general equilibrium model of Daveri and Maffezzoli (2000, “A Numerical Approach to Fiscal Policy, Unemployment and Growth in Europe,” Econometrics and Applied Economics Working Paper 2000-4, IEP, Università Bocconi), where unemployment is generated by monopolistic unions, and calibrate it to reproduce several long-run features of the Italian and U.S. economies. This framework is then compared with an indivisible labor model built on Hansen (1985, Journal of Monetary Economics16, 309–328) and Rogerson and Wright (1988, Journal of Monetary Economics22, 501–515). I focus on the impulse response functions, the standard business cycle statistics, and the ability to reproduce the cyclical components of the main macroeconomic variables. The main results are as follows: (i) the impulse response functions of the monopoly union (MU) model show a higher degree of overall persistence; (ii) the business cycle statistics are similar; (iii) the MU model enjoys a statistically significant advantage in reproducing the Italian business cycle, but not that of the United States. Journal of Economics Literature Classification Numbers: E32, E24, J23, J51.     

Has the transmission mechanism of European monetary policy changed in the run-up to EMU?

This paper studies empirically the transmission mechanism of European monetary policy by means of time-varying, heterogeneous coefficient models estimated in a numerical Bayesian fashion. Based on pre-European Monetary Union evidence from Germany, France, Italy, and Spain, we find that (i) the long-run cumulative impact on output of a common, homoskedastic monetary policy shock has decreased in all countries after 1991. These declines are statistically significant and accompanied by some changes in the conduct of monetary policy over the same period. At the same time, we also find that (ii) cross-country differences in the effects of this shock have not decreased over time.     

Output gap measurement and the New Keynesian Phillips curve for China

The New Keynesian Phillips curve implies that the output gap, the deviation of the actual output from its natural level due to nominal rigidities, drives the dynamics of inflation relative to expected inflation and lagged inflation. This paper exploits the empirical success of the New Keynesian Phillips curve in explaining China's inflation dynamics with a new measure of the output gap. We estimate the output gap using the Bayesian multivariate Beveridge–Nelson decomposition method, based on a multivariate dynamic model featuring distinct interactions among inflation, money, and real output in China. The empirical results using quarterly data spanning 1979–2010 show that the new measure of the output gap outperforms the traditional measures in fitting the New Keynesian Phillips curve. This result provides useful insights for inflation dynamics and monetary policy analysis in China.     

THE FED AND THE POLITICAL BUSINESS CYCLE

This study asks whether the Federal Reserve has actively made monetary policy so as to aid the president's reelection. Using Shiller's smoothness "prior" to estimate the shape of cycles, the study finds a political business cycle in unemployment and a preelection increase in growth of the money supply. But the timing of these two cycles is inconsistent. Furthermore, little evidence exists of a cycle in the instruments of monetary policy. Thus, the Fed is not actively creating a political business cycle. Apparently, movements in real money that are not caused—but are not offset—by the Fed are an important cause of the political business cycle.
Elections influence Fed behavior. Monetary tightness occurs early in a presidential term, before reelection incentives become critical. This is due to the Fed's political weakness. Thus, the Fed's independence only partly insulates it from electoral pressures.     

THE FED AND THE POLITICAL BUSINESS CYCLE

This study asks whether the Federal Reserve has actively made monetary policy so as to aid the president's reelection. Using Shiller's smoothness "prior" to estimate the shape of cycles, the study finds a political business cycle in unemployment and a preelection increase in growth of the money supply. But the timing of these two cycles is inconsistent. Furthermore, little evidence exists of a cycle in the instruments of monetary policy. Thus, the Fed is not actively creating a political business cycle. Apparently, movements in real money that are not caused—but are not offset—by the Fed are an important cause of the political business cycle.
Elections influence Fed behavior. Monetary tightness occurs early in a presidential term, before reelection incentives become critical. This is due to the Fed's political weakness. Thus, the Fed's independence only partly insulates it from electoral pressures.     

Macroeconomic transitions and the transmission mechanism: Evidence from Turkey

This paper investigates changes to the macroeconomic transmission mechanism in Turkey following a major reform of monetary policy in the early 2000s. We use a Threshold VAR (TVAR) framework to test for and then estimate a model with endogenous transitions between regimes. We detect two regimes, with a clear transition between them in 2003–4. The pre-reform regime is characterized by high inflation, passive monetary policy and persistent responses to shocks. The post-reform regime is characterized by low inflation, active and credible monetary policy and markedly less persistent responses to shocks. Using a model that contains sufficient variables to capture diverse transmission mechanisms, working through the real exchange rate, domestic credit and monetary policy, we find evidence of sharp changes in transmission mechanisms. Post-reform, the response of Turkey to macroeconomic shocks has changed to be similar to those in other modern, market-orientated economies.