Gravity models in integrated panels

This paper shows that standard gravity models of foreign trade include non-stationary variables (bilateral trade and GDP of trading partners). Furthermore, gravity models are characterized by inherited cross-sectional correlation between the panel units (country pairs). Therefore, the results of the standard panel unit root tests are biased and outperformed by the simple cross-sectionally augmented panel unit root test according to Pesaran (J Appl Econom 22:265–312, 2007). Nevertheless, the fixed effects estimator is similar to the dynamic OLS or fully modified OLS, which take into account the non-stationarity of analyzed macroeconomic variables as well as possible endogeneity between output and trade.     

A note on the use of the LLC panel unit root test

One of the single most cited studies within the field of nonstationary panel data analysis is that of LLC (Levin et al. in J Econom 98:1–24, 2002), in which the authors propose a test for a common unit root in the panel. Using both theoretical arguments and simulation evidence, we show that this test can be misleading unless it is based on the same bandwidth selection rule used by LLC.     

Testing the purchasing power parity in panel data

This paper empirically tests the purchasing power parity (PPP) using panel unit root tests. We employ a battery of panel unit root tests: LM-bar statistic [Testing for unit roots in heterogeneous panels, Working paper, University of Cambridge] is employed to account for serially correlated errors. The statistic proposed by Breitung [Adv. Econom. 15 (2000) 161.] and the KPSS-based statistic of Hadri [Econ. J. 3 (2000) 148.] are also used. In addition, we also employ a SUR estimator to account for possible cross-sectional effect. Data of 45 economies from 1980 to 1999 are used to test the PPP hypothesis. We find that these estimators tend to get supportive results when the data frequency becomes lower, which substantially characterizes the long-run property of the PPP hypothesis.     

Inflation and growth: new evidence from a dynamic panel threshold analysis

We introduce a dynamic panel threshold model to estimate inflation thresholds for long-term economic growth. Advancing on Hansen (J Econom 93:345–368, 1999) and Caner and Hansen (Econom Theory 20:813–843, 2004), our model allows the estimation of threshold effects with panel data even in case of endogenous regressors. The empirical analysis is based on a large panel-dataset including 124 countries. For industrialized countries, our results confirm the inflation targets of about 2% set by many central banks. For non-industrialized countries, we estimate that inflation rates exceeding 17% are associated with lower economic growth. Below this threshold, however, the correlation remains insignificant.     

GMM estimation of a structural demand model for yogurt and the effects of the introduction of new brands

The demand structure for yogurt is assumed to be properly described by a one level nested logit model that is applied to aggregate market data. Given the presence of endogenous regressors, suitably lagged endogenous variables (Arellano and Bover in J Econom 68:29–51, 1995; Blundell and Bond in J Econom 87:115–143, 1998) are proposed as instrumental variables. The validity of this set of instruments is discussed and price elasticities and marginal costs are recovered from the demand estimates. Total welfare gains associated to the introduction of two new brands by the same manufacturer are finally computed. Prices and profits decreased and total welfare increased.     

Monetary Growth and Inflation in China: A Reexamination

Using the notion of cointegration theory and its implied vector error correction modeling strategy, this paper reexamines the relationship between monetary forces and inflation in mainland China. Contrary to most recent research in this area, these results based on unit root and cointegration tests indicate a reliable long-run relationship between the general price level and the money stock, as well as between inflation and monetary growth. Our findings also suggest a bi-directional or feedback relationship between inflation and monetary growth. J. Comp. Econom., December 1999, 27(4), pp. 669–685. School of Financial Studies and Law, Sheffield Hallam University, City Campus, Pond Street, Sheffield, S1 1WB, United Kingdom.     

The real exchange rate and the black market exchange rate in developing countries

This article tests for the validity of the Purchasing power parity (PPP) theory using both the black market and the official exchange rates for panels with cross sectional dependency. The test is conducted using a newly developed, nonlinear IV panel unit root test that properly handles cross-sectional dependency for thirty-seven developing countries. We find that the null of joint unit root hypothesis is rejected for the whole panel, using the black market exchange rate, and for sub-panels of African and high inflation countries, using either exchange rate. The black market-based real exchange rates are, therefore, shown to provide stronger evidence for the purchasing power parity theory than do the official rates. This finding is consistent with the observation that black market exchange rates better represent market forces and thus are more relevant when testing for the validity of the PPP theory in developing countries.     

Moments of truncated <Emphasis Type="Italic">t</Emphasis> and <Emphasis Type="Italic">F</Emphasis> distributions

Truncated distributions commonly arise in economics and related areas, see, for example, Lee (Econ Lett 3:165–169, 1979), Lien (Econ Lett 19:243–247, 1985; Econ Lett 20:45–47, 1986), Burdett (Econ Lett 52:263–267, 1996), Sercu (Insur: Math and Econ 20:79–95, 1997), Abadir and Magdalinos (Econom Theory 18:1276–1287, 2002), and Horrace (J Econom 126:335–354, 2005). In this note, we consider the most commonly encountered truncated distributions with heavy tails: the truncated t distribution and the truncated F distribution. For each of these distributions, we derive explicit expressions for the moments and estimation procedures by the method of moments and the method of maximum likelihood. An application is illustrated to a popular data set in the econometric literature.      

Threshold,smooth transition and mean reversion in inflation: New evidence from European countries

Knowing the absence or presence of a unit root in inflation is helpful not only in distinguishing between different economic hypotheses but is also important to monetary authorities in implementing the policies of disinflation. Using data for fourteen European countries, this study investigates the issue of nonstationarity in inflation by considering the possibility of nonlinearity. In particular, we consider the properties of a threshold, smooth transition and structural break in testing for a unit root in the inflation rates. By and large, the results support the view that the inflation rates of the European countries are characterized by a unit root process based on the conventional linear unit root tests. However, the results of the nonlinear unit root tests show that the inflation rates are characterized by nonlinear mean reversion after considering the nonlinear properties of the threshold, smooth transition and structural break. The mean reversion in inflation favors the hypothesis of, for example, the natural rate of inflation and the sticky-price model and implies that shocks only have transitory effects.     

Is the monetary policy rule responsive to exchange rate changes? The case of Indonesia,Malaysia, the Philippines,and Thailand

Extending Obstfeld and Rogoff (J Econ Perspect 9:73–96, 1995), Ball (Monetary policy rules, University of Chicago Press, pp. 127–144, 1999), Svensson (J Int Econ 50: 155–183, 2000), Taylor (Am Econ Rev 91: 263–267, 2001), Gali and Gertler (J Econ Perspect 21:25–46, 2007), and others, this paper finds that central banks in the Philippines and Thailand respond negatively to the current real exchange rate and positively to the lagged real exchange rate whereas central banks in Indonesia and Malaysia do not react to the current or lagged real exchange rate. For the Philippines and Thailand, the null hypothesis that the sum of the coefficients of the current and lagged real exchange rates is zero cannot be rejected at the 5% level. Central banks in these four countries respond positively to the inflation rate and the output gap, suggesting that the concept of a simple or an extended Taylor rule would apply to these countries. Monetary policy reaction functions for Indonesia and Thailand are steeper than those for Malaysia and the Philippines and would be more responsive to a change in the inflation rate.      

Convergence Across the United States: Evidence from Panel ESTAR Unit Root Test

Many empirical studies try to test whether there is income convergence across metropolitan areas in the continental United States. Drennan et al. (Journal of Economic Geography 4(5), 2004) claim that income among metropolitan economies is diverging for the period 1969–2001, after applying univariate unit root tests to the time series data. This paper brings new information to this area of study by using the nonlinear panel unit root test of the Exponential Smooth Auto-Regressive Augmented Dickey–Fuller (ESTAR-ADF) unit root test on the time series data for the period 1929–2005. Our results find evidence of stationarity for time series and thereby support beta and sigma convergence among states in a nonlinear setup. However, when the non-linear test encompasses cross section dependence as advocated by Cerrato et al. (2008), the evidence is attenuated.     

Near unit root and the relationship between inflation and interest rates: A reexamination of the Fisher effect

Tests of the Fisher effect are plagued by high persistence in interest rates. Instead of standard regression analysis and asymptotic results, methods relying on local-to-unity asymptotics are employed in testing for the Fisher effect with monthly U.S. data covering the period 1953:1–1990:12. These procedures are extensions of a recently presented method (Cavanagh, Elliott and Stock (1995)) based on simultaneous confidence intervals, and they have the advantage of being asymptotically valid whether interest rates are integrated of order one or zero, or near unit root processes. Taking appropriately account of the near unit root problem the findings in most of the previous literature are reconfirmed. There is support for the Fisher effect in the interest rate targeting period (1953:1–1979:10) of the Federal Reserve but not in the 1979:11–1990:12 period. First version received: July 1999/Final version received: April 2000     

Macroeconomic Fragility and Exchange Rate Vulnerability: A Cautionary Record of Transition Economies

The interaction between the exchange rate regime and macroeconomic stabilization in several transition economies during 1990–1996 was influenced by the persistence of high inflation rates and the initial disequilibrium between the highly undervalued nominal exchange rates in relation to their purchasing power parity estimates. Policymakers generally adopted the flexible (nominal) exchange rate regimes for manipulating real exchange rates with a view to correcting the exchange rate disequilibrium and conveying inflation control signals. The rates of real appreciation were higher in the earlier years of high inflation rates. By 1996, lower inflation rates required less currency appreciations thereby reducing the negative impact of the latter on trade competitiveness. However, the persistence of unwarranted interest rate differentials, a consequence of the domination of monetary control over prudent fiscal management, and the associated inflows of foreign funds put an upward pressure on exchange rates exacerbating trade competitiveness. The transition record suggests that innovative exchange rate arrangements can provide only a brief interval during which sound fiscal discipline needs to be put in place for controlling inflation.J. Comp. Econom.,December 1998, 26(4), pp. 621–641. Columbia University, New York, New York 10027.     

A flexible time-varying specification of the technical inefficiency effects model

The temporal pattern of technical efficiency in the technical inefficiency effects model, as modeled by Battese and Coelli (Empir Econ 20:325–332, 1995), is rather restrictive. Specifically, it a priori imposes a common pattern upon all firms in the sample, which in addition is monotonic over time. Obviously this is an undesirable implication of the model especially when there is evidence of strong firm heterogeneity and/or a long time span. To overcome this shortcoming, the present paper incorporates the Cornwell et al. (J Econom 46:185–200, 1990) flexible specification of the temporal pattern of technical efficiency into technical inefficiency effects model. The proposed formulation is then applied to the agricultural sector of the EU and US, during the period 1973–1993. The empirical result support the proposed formulation as quite different temporal patterns of technical efficiency have been found for the ten countries included in the analysis. We would like to thank an anonymous referee and an associate editor for valuable suggestions in an earlier version of the paper.     

Nonlinearity and stationarity of inflation rates: evidence from the euro-zone countries

Earlier studies hardly reject the hypothesis of a unit root in inflation. Few studies have examined the possibility of nonlinearity in inflation and tested nonlinear stationarity of the inflation rates. This study thus intends to fill the gap. This study utilizes the tests for nonlinearity along with the unit root tests that allow for nonlinearity in the variables to examine the stationarity of inflation rates of 12 European countries that formed the Euro Zone (EZ) later in the sample period. The results suggest that the majority of these countries’ inflation rates can be characterized by mean reversion during the floating exchange rate period. Many of them appear to be nonlinear stationary. This finding is essential in conducting applied economic studies for these countries, when constructing models whose validity relies on whether or not inflation is stationary. The results of this study also imply that shocks to inflation have a transitory effect on inflation in the euro area. Therefore, it would be less costly in exercising the policies of disinflation for the monetary authorities of the euro area than for those of the countries with nonstationary inflation.     

Testing for Unit Roots in Small Panels with Short-run and Long-run Cross-sectional Dependencies

An IV approach, using as instruments non-linear transformations of the lagged levels, is explored to test for unit roots in panels with general dependency and heterogeneity across cross-sectional units. We allow not only for the cross-sectional dependencies of innovations, but also for the presence of co-integration across cross-sectional levels. Unbalanced panels and panels with differing individual short-run dynamics and cross-sectionally related dynamics are also permitted. We also more carefully formulate the unit root hypotheses in panels. In particular, using order statistics, we make it possible to test for and against the presence of unit roots in some of the individual units for a given panel. The individual IV t -ratios, which are the bases of our tests, are asymptotically and normally distributed and cross-sectionally independent. Therefore, the critical values of the order statistics as well as the usual average statistic can be easily obtained from simple elementary probability computations. We show via a set of simulations that our tests work well, whereas other existing tests fail to perform properly. As an illustration, we apply our tests to the panels of real exchange rates, and find no evidence for the purchasing power parity hypothesis, which is in sharp contrast with the previous studies.     

Friedman meets Becker and Mulligan in a monetary neoclassical growth model

We study a neoclassical growth model with the time preference determined by resources spent on imagining future pleasures along the line of Becker and Mulligan (Q J Econ 112:729–758, 1997). We introduce money into the economy via a cash-in-advance constraint and study the effect of higher seignorage taxes or higher monetary growth rates on capital, consumption and welfare in the long run. We find that if the fraction of investment constrained by cash is smaller than a threshold, the negative-monetary-growth Friedman (The Optimum Quantity of Money and Other Essays, 1969) rule does not hold and the optimal inflation rate is positive. Calibrating our model yields a mild optimal inflation rate per annum with a switch from zero inflation to optimal inflation creating a sizable welfare gain in terms of consumption equivalence.     

Forecast accuracy and uncertainty in applied econometrics: a recommendation of specific-to-general predictor selection

This article provides empirical evidence on the performance of general-to-specific and specific-to-general predictor selection in linear autoregressions. A pseudo ex-ante forecasting comparison is conducted for a set of 494 macroeconomic time series as collected recently by Dees et al. (J Appl Econom 22:22–38, 2007). In total 10,374 time series realizations are contrasted against competing predictions founding on the two search principles. Overall, specific-to-general modeling is characterized by superior performance in terms of smaller absolute forecast errors and better matching of nominal and empirical coverage levels of ex-ante prediction intervals.     

Asymmetric behavior of inflation differentials in the euro area: Evidence from a threshold unit root test

This paper tests the existence of persistent inflation rate differentials in the euro area by employing linear as well nonlinear unit root tests. Besides linear unit root tests, a two-regime threshold unit root test examines the conjecture that inflation rate differentials follow a nonlinear two-regime process towards a threshold, switching from the persistent regime to the transitory one and vice versa. The results imply that threshold nonlinearity is confirmed in 10 out of the 16 cases. However, we have found unit root regime-switching behavior only in six out of the 16 cases under investigation. This finding implies that these inflation rate differentials were persistent when they were low (regime 1), but transitory when they were high (regime 2). This asymmetric behavior can possibly be explained by the different degree of pressure exercised on governments, which is accompanied with different inflation rate differentials. On the contrary, despite the evidence of nonlinearity, the majority of the inflation rate differentials are found to be monotonically persistent. Our results have strong implications for policy makers. In particular, the documented persistency in the inflation rate differentials might have long-run costs in terms of price and macroeconomic stability.