Fractional cointegration,low frequency dynamics and long-run purchasing power parity: an analysis of the Australian dollar over its recent float

A relatively new but generalized concept of fractional cointegration is applied to shed some light on the validity of purchasing power parity (PPP) as a long-run equilibrium condition, by examining the long-run relationship between quarterly consumer price indices and bilateral exchange rates of the Australian dollar and seven major OECD trading partners, over Australia's recent float. The paper demonstrates that relaxing the condition that the residual from the cointegration equation must be a I(0) process, provides a wide range of cases of parity-reversion with processes that are CI(1,d) with 0 < d < 1. Findings tend to suggest that, while standard tests of cointegration fail to support cointegration between nominal exchange rates, domestic and foreign prices, and thus the empirical favour for PPP as a long-run phenomenon, the fractional cointegration analysis permits deviations from equilibrium to follow a fractionally integrated process and hence captures a much wider class of parity or mean-reversion behaviour. Results are mainly supportive of long-run PPP. Furthermore, an analysis of the short-run dynamics propelling the long-run relationship (through a VECM) reveals that domestic prices are consistently the initial receptor of an exogenous shock to the equilibrium and the long-run equilibrium is restored through the short-run adjustment of the nominal exchange rates. These findings are shown to hold clear policy implications.     

Measuring Monetary Policy in Germany: A Structural Vector Error Correction Approach

Abstract. A structural vector error correction (SVEC) model is used to investigate several monetary policy issues. While being data-oriented the SVEC framework allows structural modeling of the short-run and long-run properties of the data. The statistical model is estimated with monthly German data for 1975–98 where a structural break is detected in 1984. After splitting the sample, three stable long-run relations are found in each subsample which can be interpreted in terms of a money-demand equation, a policy rule and a relation for real output, respectively. Since the cointegration restrictions imply a particular shape of the long-run covariance matrix this information can be used to distinguish between permanent and transitory innovations in the estimated system. Additional restrictions are introduced to identify a monetary policy shock.     

Common trends and common cycles among interest rates of the G7-countries

Both, from a macroeconomic modeling perspective, as well as for a policy point of view, there has recently been a renewed interest in the cyclical and long-run comovement of interest rates. In this paper we re-investigate the long- and short-run comovements in the G7-countries by conducting tests for cointegration, common serial correlation and codependence with nominal and real interest rates, using quarterly data from 1975 to 2010. Overall, we find only little evidence of comovements. Common trends are occasionally observed, but the majority of interest rates are not cointegrated. Although some evidence for codependence of higher order is found in the pre-Euro area sample, common cycles appear to exist only in rare cases. We argue that some earlier, more positive findings are difficult to reconcile due to differing assumptions about the underlying stochastic properties of interest rates. We conclude that they cannot be generalized for all interest rates, time periods, and reasonable alternative estimation procedures.     

Taiwan's exports and trade imbalance against US and Japan: an empirical investigation based on error correction model

This study employs recent advances in time-series analysis, cointegration and error correction model, to examine the long-run and short-run determinants of the exports and trade imbalance between the USA, Japan, and Taiwan. The unit root tests reveal nonstationary in most of the variables. The cointegration tests affirm positive the long-run associations are between the exchange rate changes and the exports as well as the trade imbalance. Once these long-run effects are accounted for, it is found that there are evidences of short-run relationship between these variables.     

Cointegration,dynamic structure,and the validity of purchasing power parity in African countries

The purpose of this paper is to test the validity of the purchasing power parity (PPP) in Africa in the context of a multivariate error-correction model. This approach allows for the consideration of long-run elasticities as well as the dynamics of the short-run adjustment of exchange rates to changes in domestic and foreign prices. Monthly data for fourteen African countries are used, and the period examined is 1973:4 through 2007:7 (i.e., 412 observations). Results from long-run cointegration analysis, short-run error correction models, persistence profile analysis and variance decomposition all confirm the validity of PPP in these moderate-to-high inflation countries, where estimates of half-life deviations from PPP are found to be outside the range suggested by Rogoff (1996).     

Dynamic analysis of British demand for tourism abroad

This paper investigates how preference endogeneity, in the form of habit persistence, can affect short-run and long-run tourism expenditure decisions. The proposed model is applied to British quarterly data over the period 1979–91 and the empirical results suggest that preference endogeneity appears to have an important effect. This has policy implications for countries competing for British tourist arrivals. The differences between the short-run and long-run price and budget elasticities which are implied by habit persistence are also investigated.     

Sectoral trends and cycles in Germany

We examine the comovements between the output indexes of three German sectors (manufacturing, mining, and agriculture) and the three corresponding sectoral stock market indexes. It is found that data with and without seasonal adjustment give mixed results on the long-run interaction between the sectoral indexes. Compared with data that are non-seasonally adjusted, the adjusted data offer weaker evidence on the cointegration relationship between a) the sectoral output indexes, b) sectoral stock indexes, and c) individual pairs of real and financial indexes. On short-run comovement, seasonally adjusted data offer stronger evidence on the presence of common synchronized and non-synchronized cyclical components. First version received: March 2000/Final version received: September 2001 RID="*" ID="*"  We would like to thank Michael Dooley, Juergen von Hagen, Kenneth Kletzer, Peter Kugler, Jacky So and two anonymous referees, as well as the participants of the Fifth Global Finance Conference in Mexico City, the seminars at the University of California at Santa Cruz, University of Munich, and University of Basel for their helpful comments and suggestions. This research was supported by CGES at UC Berkeley and UC Santa Cruz faculty research funds.     

Dynamic effects of trade openness on financial development

This paper employs the Pooled Mean Group (PMG) approach of Pesaran et al. (1999) to study the dynamic effects of trade openness on financial development. The advantage of the PMG estimator over other dynamic panel econometric techniques is that it allows short-run coefficients, speeds of adjustment and error variances to vary across countries, with cross-country homogeneity restrictions only on long-run parameters. Our results spanning 88 countries over 1960–2005 show that a positive long-run relationship between trade openness and financial development coexists with a negative short-run relationship. But when splitting the data into different income or inflation groups, this finding is observed only in relatively low-income countries or high-inflation economies.     

Pooled Mean Group estimation on international capital mobility in African countries

This paper investigates the relationship between the savings and investment rates for 37 African countries over the period 1970-2006, using the recently developed Pooled Mean Group cointegration technique. Our results show that in the long-run, capital was relatively mobile in African countries, while, in the short-run, coefficients are not significant. However, there are marked differences in ratio retentions between country groups. The savings retention coefficient is higher in civil law countries than in common law countries. Furthermore, our results show that the Feldstein-Horioka coefficient is relatively lower in non-CFA than in CFA countries. These results have some policy implications.     

Market efficiency,purchasing power parity,and the official and parallel markets for foreign currency in Latin America

This paper examines the purchasing power parity (PPP) theory from a long-run perspective in the presence of a parallel or ‘black’ market for U.S. dollars in four Latin American countries, namely Argentina, Brazil, Chile, and Mexico, using monthly data for the recent float. Johansen's full information maximum likelihood multivariate cointegration technique is applied. Recent developments associated with this procedure are considered. First, a formal test developed by Johansen [Econometric Theory 8 (1992) 188, Econometric Theory 11 (1995) 25, Scand. J. Stat. 24 (1997) 433] for the presence of I(2) and I(1) components in a multivariate context is applied along with the estimation of the roots of the companion matrix for the correct determination of the cointegration rank. Second, given that two significant cointegration vectors were found for any country, structural restrictions identifying the long-run relations of interest are specified as proposed by Johansen and Juselius [J. Econometrics 63 (1994) 7] and Johansen [J. Econometrics 69 (1995) 111]. Thus, the joint structure of PPP and long-run informational market efficiency could not be rejected for all countries. Furthermore, estimation of the error correction terms shows that the black market rate adjusts to eliminate any deviation from long-run PPP. Finally, stability tests proposed by Hansen and Johansen [Hansen, H., & Johansen, S. (1993). Recursive estimation in cointegrated VAR-models. Working Paper, University of Copenhagen, Institute of Mathematical Statistics; Econometrics J. 2 (1999) 306] are applied and it is shown that the dimension of the cointegration space is sample dependent while the estimated coefficients do not exhibit instability in recursive estimations.     

Aggregate imports and expenditure components in the UK: an empirical analysis

This paper examines the long-run relationship between UK aggregate imports and the macroeconomic components of final expenditure, using the Johansen multivariate cointegration analysis. It is found that there are significant differences between the long-run elasticities of import demand with respect to the different components of final expenditure, over the period 1972 to 1990. An error correction model is proposed for short-run forecasting of UK aggregate imports. The short-run model appears to track the data well.     

The comovement between real activity and prices in the G7

In this paper, we study the short-run and long-run comovement between prices and real activity in the G7 countries during the postwar period using vector autoregressive systems and frequency-domain filters. We find several patterns that are robust across countries and time periods. Typically, the correlation coefficients at long-run horizons are significantly negative and the correlation coefficients at short-run horizons are substantially higher. Additionally, there is evidence of positive correlation at short-run forecast horizons for some countries.     

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.     

Aggregate price responses to wage and productivity changes: Evidence from the U.S.

This papei examines the dynamic responses of prices to wage and productivity changes and distinguishes between short-run and long-run effects. The long-run solution of the dynamic specification is consistent with the hypothesis of markup pricing over unit labour costs. The restrictions implied by this long-run behaviour are not rejected.by U.S. data. In addition, the evidence supports the view that the short-run wage effects are significantly stronger than productivity effects.     

Capital account liberalization and dynamic price discovery: evidence from Chinese cross-listed stocks

We analyse the effects of a recent financial reform (Shanghai-Hong Kong Stock Connect) that enables cross-market investment between Hong Kong and Shanghai stock exchanges. Using a VECM, we find that the reform announcement considerably narrows the equilibrium level of price disparity and strengthens the price comovement of shares that are cross-listed in both markets. The estimated equilibrium relationship is in support of the relative law of one price. We find that both markets adjust in response to a disequilibrium in price disparity, leading to a sizeable error correction activity. The Shanghai market contributes to approximately two-thirds of the price discovery process. Competition and informativeness of trading affect the relative role of price discovery in each market. Finally, the reform implementation reinforces the long-run cointegration relationship and strengthens the short-run price comovements of cross-listed stocks despite the widening price disparity during the period.     

Wage Setting, Wage Curve and Phillips Curve: The Italian evidence

The purpose of this paper is to investigate some issues of wage setting in order to assess if nominal inertia and wage flexibility characterise the Italian supply side, using multivariate cointegration models. Our estimates indicate that an explicit distinction between stationary and non-stationary variables and a joint analysis of long-run and short-run structure is crucial for achieving clearer results. To this end, we use quarterly time series data for industry sector 1976:1–1993:4. Interesting results have been found concerning the empirical evidence of a long-run wage curve and the existence of a Phillips curve, through adopting alternative order reduction of the I(2) wage and price variables. Moreover, some insights on regional (North-South) unemployment effects are pointed out and discussed.     

Assessing dynamics of crude oil import demand in Korea

Although Korea was the world's seventh largest oil consumer and fourth largest oil importer, relatively little attention has been paid to empirical analyses of the Korean crude oil market. In this paper, we have attempted to expand the scope of previous literature by examining Korea's import demand for crude oil in a dynamic framework of cointegration. The empirical focus is on assessing the short- and long-run relationships among volume of crude oil import, economic growth and price of imported crude oil in Korea. For this purpose, an autoregressive distributed lag (ARDL) approach is applied to quarterly data for 1986–2010. Results show that income level is a more powerful determinant of the long-run behavior of Korea's crude oil imports than crude oil price. In the short-run, on the other hand, oil price is found to play a more important role in determining crude oil imports than income level.     

A further examination of the export-led growth hypothesis

This article challenges the common view that exports generally contribute more to GDP growth than a pure change in export volume, as the export-led growth hypothesis predicts. Applying panel cointegration techniques to a production function with non-export GDP as the dependent variable, we find for a sample of 45 developing countries that: (i) exports have a positive short-run effect on non-export GDP and vice versa (short-run bidirectional causality), (ii) the long-run effect of exports on non-export output, however, is negative on average, but (iii) there are large differences in the long-run effect of exports on non-export GDP across countries. Cross-sectional regressions indicate that these cross-country differences in the long-run effect of exports on non-export GDP are significantly negatively related to cross-country differences in primary export dependence and business and labor market regulation. In contrast, there is no significant association between the growth effect of exports and the capacity of a country to absorb new knowledge.     

Short-run and long-run dynamic linkages among international stock markets

This paper investigates the dynamic linkages among the U.S., Japan, U.K. and German stock market indices using daily data for the April 1, 1984 to May 31,91 period. In contrast to previous studies, a vector error correction model of cointegrated variables as developed by Johansen (1988, 1991) and Johansen and Juselius (1990) is employed to examine both short-run and long-run intermarket relationships among these four stock markets. Significant evidence is found in support of both short-run and long-run relationships among these four stock market indices. The U.S. stock market leads other stock markets in short-run in the pre and post October 1987 crash, but leads all other markets in the long-run in all periods examined. The presence of a one long-run cointegrating equilibrium relationship among the four stock market indices implies a limited role of international diversification for investors with long holding periods. However, because the US-Japan-Germany stock market indices, and Japan-UK-Germany indices are not cointegrated with each other, these indices may yield international portfolio diversification in the long-run. Finally, the conflicting results from multivariate cointegration tests found in this study can not be used to provide conclusive evidence on international stock market efficiency.