Fourier ADL cointegration test to approximate smooth breaks with new evidence from Crude Oil Market

Economic data is typically subject to a number of different forms of structural breaks. Ignoring structural breaks in a model can lead to misspecification issues and false conclusions. This paper proposes a new Autoregressive Distributive Lag (ADL) cointegration test in the presence of nonlinear breaks approximated by a Fourier function. The test offers a simple way to capture smooth structural change in time series data. Exact break dates are not required, and the suggested methodology can accommodate unknown number and form of gradual structural change. The testing procedure circumvents the potential power loss which can result from adding more dummy variables in the testing equation. Simulation results show that our procedure has good size and power properties. We demonstrate our test on the empirical example of real oil prices, oil production, and real economic activity, which are subject to structural breaks. The new test suggests that variables are cointegrated, while a conventional ADL test ignores structural breaks and concludes the opposite. This result casts some doubt on conventional oil price models.     

Bayesian model averaging and identification of structural breaks in time series

Bayesian Model Averaging (BMA) is used for testing for multiple break points in univariate series using conjugate normal-gamma priors. This approach can test for the number of structural breaks and produce posterior probabilities for a break at each point in time. Results are averaged over specifications including: stationary; stationary around trend and unit root models, each containing different types and number of breaks and different lag lengths. The procedures are used to test for structural breaks on 14 annual macroeconomic series and 11 natural resource price series. The results indicate that there are structural breaks in all of the natural resource series and most of the macroeconomic series. Many of the series had multiple breaks. Our findings regarding the existence of unit roots, having allowed for structural breaks in the data, are largely consistent with previous work.     

Fundamentals and Oil Price Behaviour: New Evidence from Co‐integration Tests with Structural Breaks and Granger Causality Tests

As the world economy has undergone various changes and shocks, the oil market went through significant fluctuations during the period 1994–2015. This study focuses on discussing the possible factors that determine crude oil prices, which include world economic growth, market power of Organization of the Petroleum Exporting Countries (OPEC), non‐OPEC supply and the value of dollar, taking into account the structural changes that influence the study period, which is quarterly data for the period of 1994.Q1–2015.Q3. For time series stationarity tests, Zivot and Andrews (1992) and Perron (1997) unit root test with structural break is used. To test the existence of a long relationship in the presence of structural changes, the Gregory and Hansen (1996a, 1996b) method of co‐integration is used. For long‐run coefficient, we proceed to estimate fully modified least squares. The result shows a significant influence of non‐OPEC supply, the dollar appreciation and world gross domestic product growth, but OPEC did not have a significant effect on the price of oil, which is indicated by the structural break for OPEC capacity utilisation at 2002.Q1, that indicates the starting point of the loss of OPEC power. Establishing the presence of co‐integration, we apply the evaluation of Granger causality for co‐integrated data, using vector error‐correction model.     

Has the structural break slowed down growth rates of stock markets?

In this paper, we use the common structural break test suggested by Bai et al. (1998) to test for a common structural break in the stock prices of the US, the UK, and Japan. On the basis of the structural break, we divide each country's stock price series into sub-samples and investigate whether or not the structural break had slowed down the growth of stock markets. Our main findings are that when stock markets are modelled in a trivariate sense the common structural break turns out to be 1990:02, with the confidence interval including several episodes, such as the asset price bubble when housing prices and stock prices in Japan reached a peak in 1988/1989, the early 1990s recession in the UK, the business cycle peak of July 1990, the August 1990 Iraqi invasion of Kuwait and the March 1991 business cycle trough. Annual average growth rates suggest that the structural break has slowed down the growth rate of the US, the UK and Japanese stock markets.     

Price convergence in US cities: a cointegration approach with two structural breaks

This article investigates how the price indices of major cities of the US respond to the shock from a city and from monetary policy. We find that the crisis of Bretton Woods system in 1968 and the oil crisis in 1974 should be incorporated as structural breaks in monetary policy variables and price indices. Using cointegration technique with structural break in our aggregated data, we find that the average half-life is 1.75 years, which is closer to what some of others found in disaggregated data, and that the interest rate is an effective tool for controlling cities’ price in short run.     

Structural breaks and relative price convergence among US cities

This paper examines whether inclusion of structural breaks helps resolve the puzzling result of excessively slow speed of convergence in relative prices across US cities while using long time series data on CPI. With an endogenously determined single break in 1985 in annual CPI data for 17 major US cities between 1918 and 2010, the panel unit root test results provide overwhelming evidence of convergence of relative prices across cities, which is consistent with the existing literature. Most importantly, this study finds that the speed of convergence with structural break is faster than that reported by previous panel studies with no structural break that use similar long time series data. Furthermore, correcting for small-sample bias (the so-called “Nickell Bias”) and time aggregation bias generates a half-life of 3.9 years, which is 64% shorter than the half-life estimate with no structural break and no bias correction. The breakpoint in 1985 coincides with the beginning of the period of Great Moderation during which inflation, along with other macro variables, has become more stable and its impact on relative prices across US cities seems to have waned.     

Drift in the relative price of primary commodities: a case where we care about unit roots

The evidence for the Prebisch-Singer hypothesis, of a downward drift over time in the relative price of primary commodities, is considered. The apparent strength of that evidence appears to depend, to a substantial degree, on whether the time series of relative prices is assumed to be trend stationary or integrated of order one. Moreover, the usual econometric tests are relatively uninformative on this question. These conclusions emerge whether or not a structural break in the series is permitted.     

INTERNATIONAL LABOUR FORCE PARTICIPATION RATES BY GENDER: UNIT ROOT OR STRUCTURAL BREAKS?

This paper examines the possibility of unit roots in the presence of endogenously determined multiple structural breaks in the total, female and male labour force participation rates (LFPR) for Australia, Canada and the USA. We extend the procedure of Gil‐Alana for a single structural break to the case of multiple structural breaks at endogenously determined dates using the principles suggested by Bai and Perron. We use the Robinson LM test to determine the fractional order of integration. We find that endogenously determined structural breaks render the total, female and male LFPR series stationary or at best mean‐reverting.     

Efficient Estimation and Testing of Alternative Models of Currency Futures Contracts

An efficient systems approach is used to estimate and test two alternative models regarding the pricing of Australian dollar futures contracts traded on the International Monetary Market of the Chicago Mercantile Exchange. Cointegrating relationships among the Australian dollar spot and futures prices, and the US and Australian risk-free rates of interest, suggest alternative error-correction representations for the cost-of-carry model which, with appropriate zero restrictions, yields the unbiased expectations hypothesis. A structural break in the futures price series permits estimation of appropriate models for the full sample in the presence of the break, for the full sample without explicitly modelling the break, and for two separate sub-samples created by the structural break. The restricted and unrestricted cost-of-carry formulations are estimated for all sample sets, the models obtained are found to be statistically adequate, and the qualitative results are reasonably robust across different sample sets for both models. On the basis of the tests of zero restrictions, the cost-of-carry model is found to be empirically superior to the unbiased expectations hypothesis for the four sample sets considered, regardless of the number of cointegrating relations.     

Cointegration and causal relationships among steel prices of Mainland China, Taiwan, and USA in the presence of multiple structural changes

Variation in the price of steel is an important factor to take into consideration when discussing cost control and management decisions in the construction industry. We employ various conventional and advanced econometrics methods to examine the interrelationships of steel prices in three related markets during the time period June 2002 to May 2010: Mainland China (CH), Taiwan (TW), and the United States (US). We adopt the Gregory and Hansen (GH) test and regime-switching (RS) model for cointegration, both of which accommodate endogenous structural break(s), to produce a more accurate analysis of a period in the presence of structural change(s). The empirical result of the RS cointegration test with respect to multiple structural breaks suggests a long-run equilibrium relationship among the three variables considered. This finding differs from the result of the GH test but confirms the result of the conventional Johansen test. Furthermore, the results of the Granger causality test indicate that both CH and US steel prices have great influence on the TW steel price; the Taiwanese steel market is closely linked with China and US steel markets in the long run.     

The Feldstein–Horioka Puzzle and structural breaks: Evidence from EU members

The purpose of this paper is to investigate the level of capital mobility in European Union members using the Feldstein–Horioka puzzle proposed by Feldstein and Horioka (1980) in order to investigate relations between saving and investment flows. In this paper, data for 23 European countries were used over the period of 1995–2009 on the quarterly basis. Two different tests were used to estimate the stationarity of the model variables, which are the Ng and Perron (2001) unit root test procedure and approach proposed by Zivot and Andrews (1992) for unit root test allowing for a structural shift. Then the Kejriwal and Perron (2008, 2010) structural break test was applied to determine the presence of structural breaks in series. In most countries except Belgium and Finland UDmax and WDmax tests rejected the hypothesis of no breaks. To test the cointegration relationships between investment and saving flows of European Union members three different cointegration techniques were applied to the data. Firstly, the Johansen (1988) cointegration approach was used for the case of no cointegration shifts, then the Gregory and Hansen (1996) cointegration test was applied, which allows for one structural shift. Finally, again the Johansen' cointegration approach was used; however, this time with the inclusion of dummy variables related to earlier selected structural break locations. The empirical results provided stronger evidence of cointegration between investment and saving variables in the case of structural break accommodation compared to the case where the presence of structural breaks was ignored. The estimated saving retention coefficient in the presence of structural breaks using the Kejriwal and Perron (2008, 2010) approach appeared relatively low in many cases, illustrating by this the openness of estimated countries. In general, world and European countries with time have a tendency to a higher level of their capital market openness. Estimations of a saving retention coefficient in the presence of structural changes do not support the existence of the Feldstein–Horioka Puzzle in the considered EU countries, except Belgium.     

Oil currencies in the face of oil shocks: what can be learned from time-varying specifications?

While the oil currency property is clearly established from a theoretical viewpoint, its existence is less clear-cut in the empirical literature. We investigate the reasons for this apparent puzzle by studying the time-varying nature of the relationship between real effective exchange rates of five oil exporters and the real price of oil in the aftermath of the oil price shocks of the last two decades. Accordingly, we rely on a time-varying parameter VAR specification, which allows the responses of real exchange rates to different oil price shocks to evolve over time. We find that the reason of the mixed results obtained in the empirical literature is that oil currencies follow different hybrid models in the sense that oil countries’ real exchange rates may be driven by one or several sources of oil price shocks that furthermore can vary over time. In addition to structural changes affecting oil countries, structural changes arising from the oil market itself through the various, time-varying sources of oil price shocks are found to be crucial.     

Structural transformation and the oil price

What part of the high oil price can be explained by structural transformation in the developing world? Will continued structural transformation in these countries result in a permanently higher oil price? To address these issues I identify an inverted-U shaped relationship in the data between aggregate oil intensity and the extent of structural transformation: countries in the middle stages of transition spend the highest fraction of their income on oil. I construct and calibrate a multi-sector, multi-country, general equilibrium growth model that accounts for this fact by generating an endogenously falling aggregate elasticity of substitution between oil and non-oil inputs. The model is used to measure and isolate the impact of changing sectoral composition in the developing world on global oil demand and the oil price in the OECD. I find that structural transformation in non-OECD countries accounts for up to 53% of the oil price increase in the OECD between 1970 and 2010. However, the impact of structural transformation is temporary. Continued structural transformation induces falling oil intensity and an easing of the upward pressure on the oil price. Since a standard one-sector growth model misses this non-linearity, to understand the impact of growth on the oil price, it is necessary to take a more disaggregated view than is standard in macroeconomics.     

Macroeconomic Response to Oil and Food Price Shocks: A Structural VAR Approach to the Indian Economy

The study analyzed the dynamic impact of oil and food price shocks on the macroeconomy of India, using the monthly time series data from April 1994 to May 2016 in a structural vector autoregression (SVAR) framework. Being a net food exporter and net oil importer, the economy is found to face deleterious impacts of global oil and food price shocks on its macroeconomic performance. Output responds negatively to oil and food price hikes along with their volatility and positively to the fall in these prices. Inflation responds positively to all the three transformations of shocks with no signs of coming down, highlighting the price downward inflexibility in India. The study could not establish any evidence of negative demand shocks in face of oil and food price volatility. Central bank responds with a contractionary policy stance to negate the influences of external shocks. Forecast error variance decomposition points out the dominance of external shocks in influencing the domestic variables after their own shocks. Finally, the inflation downward rigidity is observed even in the long run.     

Modeling nonlinear Granger causality between the oil price and U.S. dollar: A wavelet based approach

In this paper, we use a wavelet approach to study the linear and nonlinear Granger causality between the real oil price and the real effective U.S. Dollar exchange rate. Instead of analyzing the time series at their original level, as it is usually done, we first decompose the two macroeconomic variables at various scales of resolution using wavelet decomposition and then we study the relationships among the decomposed series on a scale by scale basis. A major finding of this paper is that the linear and nonlinear causal relationships between the real oil price and the real effective U.S. Dollar exchange rate vary over frequency bands as it depends on the time scales. Indeed, there is a strong bidirectional causal relationship between the real oil price and the real dollar exchange rate for large time horizons, i.e. corresponding to fundamentalist traders, especially fund managers and institutional investors. But, for the first frequency band which corresponds to a class of traders whom investment horizon is about 3-months and whom trading is principally speculative (noise traders), the causality runs only from the real oil prices to real effective U.S dollar exchange rate.     

Oil price and exchange rates: A wavelet based analysis for India

In this paper, we explore linear and nonlinear Granger causalities between oil price and the real effective exchange rate of the Indian currency, known as ‘rupee’. First, we apply the standard time domain approach, but fail to find any causal relationship. So, we decompose the two series at various scales of resolution using the wavelet methodology in an effort to revisit the relationships among the decompose series on a scale by scale basis. We also use a battery of non-linear causality tests in the time and the frequency domain. We uncover linear and nonlinear causal relationships between the oil price and the real effective exchange rate of Indian rupee at higher time scales (lower frequency). Although we do not find causal relationship at the lower time scales, there is evidence of causality at higher time scales only.     

Efficient market hypothesis: evidence from a small open-economy

This article studies the efficient market hypothesis for the Istanbul Stock Exchange National 100 (ISEN 100) price index within the Lumsdaine and Papell two structural breaks unit root test framework. The main finding of the article shows that the ISEN 100 index is characterized by a unit root with two structural breaks, which is consistent with the efficient market hypothesis. In addition, the article applies the augmented Dickey–Fuller test, runs test and the variance-ratio test to test the weak-form efficiency of the ISEN 100. The analyses are repeated for three sub-periods delineated in view of the endogenously determined break points.     

The long-run behaviour of the terms of trade between primary commodities and manufactures: a panel data approach

This paper examines the Prebisch and Singer hypothesis using a panel of twenty-four commodity prices from 1900 to 2010. The modelling approach stems from the need to meet two key concerns: (i) the presence of cross-sectional dependence among commodity prices; and (ii) the identification of potential structural breaks. To address these concerns, the Hadri and Rao (Oxf Bull Econ Stat 70:245–269, 2008) test is employed. The findings suggest that all commodity prices exhibit a structural break whose location differs across series, and that support for the Prebisch and Singer hypothesis is mixed. Once the breaks are removed from the underlying series, the persistence of commodity price shocks is shorter than that obtained in other studies using alternative methodologies.     

Convergence in West German Regional Unemployment Rates

Abstract. Differences in regional unemployment rates are often used to describe regional economic inequality. This paper asks whether changes in regional unemployment differences in West Germany are persistent over time. Understanding the persistency of regional unemployment differences helps us to assess how effective regional policy can be. While univariate tests suggest that changes in regional unemployment differences are persistent in West Germany, more powerful panel tests lend some support to the hypothesis that regional unemployment rates converge. However, these tests reveal a moderate speed of convergence at best. Because there is a structural break following the second oil crisis, we also use tests that allow for such a break. This provides evidence for both convergence and quick adjustment to an equilibrium distribution of regional unemployment rates that is, however, subject to a structural break.     

The effects of oil price shocks on expenditure category CPI

In this study, we apply a two-block structural vector autoregressive (VAR) model proposed by Kilian and Park (2009) in order to investigate the dynamic effects of changes in oil price on the expenditure category consumer price index (CPI) in the United States and Japan. Our results confirm that each expenditure category price index responded very differently to the same structural shock, and that whether changes in oil price function as a positive stimulus or a negative shock for the individual expenditure category prices also depends on the kind of underlying shock that drives the changes in oil price. Finally, our results also reveal that the manner in which changes in oil price affect each expenditure category price differs between the United States and Japan and these detailed-level differences may lead to aggregate-level differences in the price response of both countries to changes in oil price.