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Fractional cointegration between energy imports to the EURO area and exchange rates to the US dollar

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Abstract

The global dominance of the dollar is unquestionable, but the European Commission is committed to strengthening the role of the euro in international relations. Most of the transactions between countries are paid in US dollars even though the United States does not participate in them. Some argue that the euro could become more powerful if it were given more presence in international trade, in particular, in the energy bill of the Eurozone. With the aim of validating that statement, this paper analyses the cointegrating structure between energy imports to the Euro Area from its main partners and those partners’ currency exchange rates to the US dollar. We find that there is a bivariate fractional cointegration relationship between the series in most of the countries considered.

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References

  • Adekoya OB (2020) Long memory in the energy consumption by source of the united states: fractional integration. Seasonality Effect and Structural Break, Estudios De Economia 47(1):31–48

    Google Scholar 

  • Aguiar-Conraira L, Wen Y (2007) Understanding the large negative impact of oil shocks. J Money, Credit, Bank 39(4):925–944

    Article  Google Scholar 

  • Ahmad AH, Hernández RM (2013) Asymmetric adjustment between oil prices and exchange rates: Empirical evidence from major oil producers and consumers. J Int Finan Markets Inst Money 27:306–317

    Article  Google Scholar 

  • Aye GC, Carcel H, Gil-Alana LA, Gupta R (2017) Does gold act as a hedge against inflation in the UK? Evidence from a fractional cointegration approach over 1257 to 2016. Resour Policy 54:53–57

    Article  Google Scholar 

  • Baillie RT (1996) Long memory processes and fractional integration in econometrics. Journal of Econometrics 73(1):5–59

    Article  MathSciNet  Google Scholar 

  • Bank of International Settlements, (2021): Exchange rates series, US dollar exchange rates, current; BIS:WEBSTATS_XRU_CURRENT_DATAFLOW(1.0).

  • Baranzini A, Weber S, Bareit M, Mathys NA (2013) The causal relationship between energy use and economic growth in Switzerland. Energy Econ 36:464–470

    Article  Google Scholar 

  • Barros CP, Gil-Alana LA, Wanke P (2016) Energy production in Brazil. Empir Facts Based on Persist, Season and Breaks, Energy Econ 54:88–95

    Google Scholar 

  • Baruník J, Dvořáková S (2015) An empirical model of fractionally cointegrated daily high and low stock market prices. Econ Model 45:193–206

    Article  Google Scholar 

  • Basher SA, Haug AA, Sadorsky P (2012) Oil prices, exchange rates and emerging stock markets. Energy Econ 34–1:227–240

    Article  Google Scholar 

  • Bauwens, L. and M. Lubrano, (1996): Identification restrictions and posterior densities in cointegrated Gaussian VAR systems, in: Advances in Econometrics 11, Part B, (JAI Press, Greenwich) 3–28.

  • Belbute JM, Pereira PM (2016) Does final energy demand in Portugal exhibit long memory? A Fract Int Anal, Portuguese Econ J 15:59–77

    Article  Google Scholar 

  • Bertaut CCB. von Beschwitz and Curcuru SE (2021): The International Role of the U.S. Dollar, FEDS Notes. Washington: Board of Governors of the Federal Reserve System, October 06, 2021. https://doi.org/10.17016/2380-7172.2998

  • Bierens HJ (1997) Testing the unit root with drift hypothesis against nonlinear trend stationarity, with an application to the U.S. price level and interest Rate. J Econom 81(1):29–64

    Article  MathSciNet  Google Scholar 

  • Bozoklu S, Yilance V, Gorus MS (2020) Persistence in per capita energy consumption: a fractional integration approach with a Fourier function. Energy Econ 91:104926

    Article  Google Scholar 

  • Caporale GM, Gil-Alana LA (2004) Fractional cointegration and real exchange rates. Review of Financial Economics 13(4):327–340

    Article  Google Scholar 

  • Caporale GM, Cunado J, Gil-Alana LA (2013) Modelling long trends and cycles in financial time series data. J Time Ser Anal 34(3):405–421

    Article  MathSciNet  Google Scholar 

  • Carter Z (2020) The Price of Peace: Money, Democracy, and the Life of John Maynard Keynes. Random House

    Google Scholar 

  • Chen SS, Chen HC (2007) Oil prices and real exchange rates. Energy Econ 29–3:390–404

    Article  Google Scholar 

  • Cheung Y-W, Lai KS (1993) A fractional cointegration analysis of purchasing power parity. J Bus and Econ Stat 11(1):103–112

    Google Scholar 

  • Choi I, Saikonnen P (2010) Testing for nonlinear cointegration. Economet Theor 26:682–709

    Article  Google Scholar 

  • Cuestas JC, Gil-Alana LA (2016) A non-linear approach with long range dependence based on chebyshev polynomials. Stud Nonlinear Dyn Econom 23:445–468

    Google Scholar 

  • Cunado J, Gil-Alana LA, Perez de Gracia F (2012) Persistence, long memory and unit roots in commodity prices. Can J Agric Econ 60:451–468

    Article  Google Scholar 

  • De Menezes LM, Houllier MA (2016) Reassessing the integration of European electricity markets: a fractional cointegration analysis. Energy Economics 53:132–150

    Article  Google Scholar 

  • Dickey DA, Fuller WA (1979) Distributions of the Estimators for Autoregressive Time Series with a Unit Root. J Am Stat Assoc 74(366):427–481

    Article  MathSciNet  Google Scholar 

  • Diebold FX, Rudebusch GD (1991) On the power of Dickey-Fuller test against fractional alternatives. Econ Lett 35:155–160

    Article  MathSciNet  Google Scholar 

  • Dittmann I (2000) Residual-Based Tests For Fractional Cointegration: A Monte Carlo Study. J Time Ser Anal 21:615–647

    Article  Google Scholar 

  • Dolatabadi S, Nielsen MØ, Xu K (2016) A fractionally cointegrated VAR model with deterministic trends and application to commodity futures markets. J Empir Financ 38:623–629

    Article  Google Scholar 

  • Dolatabadi S, Narayan PK, Nielsen MØ, Xu K (2018) Economic significance of commodity return forecasts from the fractionally cointegrated VAR model. J Futur Mark 38(2):219–242

    Article  Google Scholar 

  • Dueker M, Startz R (1998) Maximum-likelihood estimation of fractional cointegration with an application To U.S. and Canadian Bond Rates. Rev Econ and Stat 80(3):420–426

    Article  Google Scholar 

  • Eichengreen, B. and M. Flandreau (2008): The Rise and Fall of the Dollar, or When Did the Dollar Replace Sterling as the Leading International Currency?, NBER Working Papers No. 14154.

  • Engle R, Granger CWJ (1987) Cointegration and error correction. Represent, Estim Testing, Economet 55:251–276

    Google Scholar 

  • Escanciano, J.C. and A. Escribano (2009): Econometrics: Non-linear cointegration. In Meyers R. eds. Encyclopedia of Complexity and Systems Science, Springer, New York, NY.

  • Eurostat, (2021), Euro area19 trade by SITC product group since 1999 [ext_st_ea19sitc].

  • Fagnart JF, Germain M (2016) Net energy ratio, EROEI and the macroeconomy. Struct Chang Econ Dyn 37:121–126

    Article  Google Scholar 

  • Geweke J (1996) Bayesian reduced rank regression in econometrics. J Econom 75:121–146

    Article  MathSciNet  Google Scholar 

  • Geweke J, Porter-Hudak S (1983) The estimation and application of long memory time series models. J Time Ser Anal 4:221–238

    Article  MathSciNet  Google Scholar 

  • Gil-Alana LA (2003) Testing of fractional cointegration in macroeconomic time series. Oxford Bull Econ Stat 65(4):517–529

    Article  Google Scholar 

  • Gil-Alana LA, Carcel H (2020) A fractional cointegration var analysis of exchange rate dynamics. The North Am J Econ and Financ 51:100848

    Article  Google Scholar 

  • Gil-Alana LA, Huijbens P (2018) Tourism in Iceland. Persist, Season and Long Memory Behav, Annals of Tourism Res 68:20–29

    Google Scholar 

  • Gil-Alana LA, Monge M (2019) Automobile components: lithium and cobalt. Evi Persistence, Energy 169:489–495

    Google Scholar 

  • Gil-Alana LA, Yaya SO (2014) The relationship between oil prices and the Nigerian stock market. An Anal Based on Fract Int and Coint, Energy Econ 46:328–333

    Google Scholar 

  • Gil-Alana LA, Perez de Gracia F, Monge M (2017) Crude oil price behaviour before and after military conflicts and geopolitical events. Energy 120:79–91

    Article  Google Scholar 

  • Gil-Alana LA, Sakiru S, Lafuente C (2020) An investigation of long range reliance on shale oil and shale gas production in the US. Energy 195:15

    Google Scholar 

  • Golub SS (1983) Oil Prices and Exchange Rates. Economic J 93(371):576–593. https://doi.org/10.2307/2232396

    Article  Google Scholar 

  • Hamilton JD (1983) Oil and the Macroeconomy since World War II. J Polit Econ 91(2):228–248

    Article  Google Scholar 

  • Hamilton JD, Herrera AM (2004) Oil Shocks and aggregate macroeconomic behavior: the role of monetary policy. J Money, Credit, Bank 36(2):265–286

    Article  Google Scholar 

  • Hamming RW (1973) Numerical Methods for Scientists and Engineers. Dover Publications, Mineola, New York

    Google Scholar 

  • Hassler U, Wolters J (1994) On the power of unit root tests against fractional alternatives. Econ Lett 45:1–5

    Article  Google Scholar 

  • Hooker MA (2002) Are oil shocks inflationary?: asymmetric and nonlinear specifications versus changes in Regime. J Money, Credit, Bank 34(2):540–561

    Article  Google Scholar 

  • International Monetary Fund (2019): Global Financial Stability Report.

  • International Monetary Fund (2020): Currency Composition of Official Foreign Exchange Reserve (COFER). Available at: https://data.imf.org/?sk=E6A5F467-C14B-4AA8-9F6D-5A09EC4E62A4

  • Islam R, Omar R, Ghani ABA, Mat B (2020) Impact of global energy politics on international trade. Int J Energy Econ and Policy 10(6):109–115

    Article  Google Scholar 

  • Johansen S (1996) Likelihood-based inference in cointegrated vector autoregressive models. Oxford University Press, New York, NY

    Google Scholar 

  • Johansen S (2008) A representation theory for a class of vector autoregressive models for fractional processes. Economet Theor 24:651–676

    Article  MathSciNet  Google Scholar 

  • Johansen S, Nielsen MO (2010) Likelihood inference for a nonstationary fractional autoregressive model. Journal of Econometrics 158:51–66

    Article  MathSciNet  Google Scholar 

  • Johansen S, Nielsen MO (2012) Likelihood inference for a fractionally cointegrated vector autoregressive model. Econometrica 80:2667–2732

    Article  MathSciNet  Google Scholar 

  • Jones ME, Nielsen MØ, Popiel MK (2014) A fractionally cointegrated VAR analysis of economic voting and political support. Can J Econ 47:1078–1130

    Article  Google Scholar 

  • Kilian L (2008) A comparison of the effects of exogenous oil supply shocks on output and inflation in the G7 countries. J Eur Econ Assoc 6(1):78–121

    Article  Google Scholar 

  • Kiran B (2012) Energy consumption and GDP revisited: A fractional cointegration relationship for Turkey. Energy Studies Review 19(1):81–93

    Article  Google Scholar 

  • Koop G (1991) Cointegration tests in present value relationships: A Bayesian look at the bivariate properties of stock prices and dividends. Journal of Econometrics 49:105–140

    Article  Google Scholar 

  • Koop G (1994) An objective Bayesian analysis of common stochastic trends in international stock prices and exchange rates. J Empir Financ 1:343–364

    Article  Google Scholar 

  • Krugman P (1983) Oil Shocks and Exchange Rate Dynamics. Exchange Rates and International Macroeconomics. National Bureau of Economic Research Inc, NBER Chapters, pp 259–284

    Google Scholar 

  • Kumar S (2019) Asymmetric impact of oil prices on exchange rate and stock prices. Q Rev Econ Finance 72:41–51

    Article  Google Scholar 

  • Kunkler M, MacDonald R (2019) The multilateral relationship between oil and G10 currencies. Energy Economics 78:444–453

    Article  Google Scholar 

  • Kwiatkowski D, Phillips PCB, Schmidt P, Shin Y (1992) Testing the null hypothesis of stationarity against the alternative of a unit root: How sure are we that economic time series have a unit root? J Econometrics 54:159–178

    Article  Google Scholar 

  • Lee D, Schmidt P (1996) On the power of the KPSS test of stationary against fractionally integrated alternatives. Journal of Econometrics 73:285–302

    Article  MathSciNet  Google Scholar 

  • Lizardo RA, Mollick AV (2010) Oil price fluctuations and U.S. dollar exchange rates. Energy Economics 32:399–408

    Article  Google Scholar 

  • Maciel, L. (2017): Technical analysis based on high and low stock prices forecasts: Evidence for Brazil using a fractionally cointegrated VAR model. Empirical Economics, 1–28.

  • Magazzino C (2017) Renewable energy consumption-economic growth nexus in Italy. Int J Energy Econ and Policy 7(6):119–127

    Google Scholar 

  • Marinucci D, Robinson PM (2001) Semiparametric fractional cointegration analysis. J Econometrics 105:225–247

    Article  MathSciNet  Google Scholar 

  • Monge M, Gil-Alana LA (2021a) Lithium industry and the US crude oil prices a fractional cointegration VAR and a continuous wavelet transform analysis. Resour Policy 72:102040

    Article  Google Scholar 

  • Monge M, Gil-Alana LA (2021b) Spatial crude oil production divergence and crude oil price behaviour in the United States. Energy 232:121034

    Article  Google Scholar 

  • Monge M, Poza C, Borgia S (2022) A proposal of a suspicion of tax fraud indicator based on Google trends to foresee Spanish tax revenues. International Economics 169:1–12

    Article  Google Scholar 

  • Nielsen, M. Ø. and Popiel, M. K. (2018): A Matlab program and user’s guide for the fractionally cointegrated VAR model (Queen’s Economics Department Working Paper No 1330). Ontario, Canada, K7L 3N6.

  • Oloko TF, Ogbonna AE, Adedeji AA, Lakhani N (2021) Oil price shocks and inflation rate persistence: a Fractional Cointegration VAR approach. Economic Anal and Policy 70:259–275

    Article  Google Scholar 

  • Phillips PCB, Perron P (1988) Testing for a unit root in time series regression. Biometrika 75(2):335–346

    Article  MathSciNet  Google Scholar 

  • Poza C, Monge M (2020) A real time leading economic indicator based on text mining for the Spanish economy. fractional cointegration VAR and continuous wavelet transform analysis. Int Econ 163:163–175

    Article  Google Scholar 

  • Quintino DD, Ferreira P (2021) Diesel prices in Brazil: A dynamic fractional integration analysis. Econ and Bus Lett 10:2

    Article  Google Scholar 

  • Rautava J (2004) The role of oil prices and the real exchange rate in Russia’s economy—a cointegration approach. J Comp Econ 32(2):315–327

    Article  Google Scholar 

  • Robinson PM (1994) Efficient tests of nonstationary hypotheses. J Am Stat Assoc 89:1420–1437

    Article  MathSciNet  Google Scholar 

  • Robinson PM, Hualde J (2003) Cointegration in fractional systems with unknown integration orders. Econometrica 71(6):1727–1766

    Article  MathSciNet  Google Scholar 

  • Robinson PM, Hualde J (2007) Root-n-consistent estimation of weak fractional cointegration. Journal of Econometrics 140:450–488

    Article  MathSciNet  Google Scholar 

  • Robinson PM, Iacone F (2005) Cointegration in fractional systems with deterministic trends. J Econometrics 129(1–2):263–298

    Article  MathSciNet  Google Scholar 

  • Robinson PM, Yajima Y (2002) Determination of cointegrating rank in fractional systems. J Econometrics 106:217–247

    Article  MathSciNet  Google Scholar 

  • Sadorsky P (2000) The empirical relationship between energy futures prices and exchange rates. Energy Econ 22(2):253–266

    Article  Google Scholar 

  • Sato M, Dechezleprêtre A (2015) Asymmetric industrial energy prices and international trade, Energy Economics,. Supplement 1:S130–S141

    Google Scholar 

  • Shimotsu K, Phillips PCB (2005) Exact local Whittle estimation of fractional integration. Ann Stat 33(4):1890–1933

    Article  MathSciNet  Google Scholar 

  • Smyth GK (1998) Polynomial approximation. Wiley, Chichester

    Google Scholar 

  • Sowell F (1992) Maximum likelihood estimation of stationary univariate fractionally integrated time series models. J Econometrics 53:165–188

    Article  MathSciNet  Google Scholar 

  • Tiwari AK (2013) Oil prices and the macroeconomy reconsideration for Germany: using continuous wavelet. Econ Model 30:636–642

    Article  Google Scholar 

  • Tomasevic N, Tomasevic M, Stanivuk T (2009) Regression analysis and approximation by means of Chebyshev polynomial. Informatologia 42(3):166–172

    Google Scholar 

  • Tooze, A. (2021): The Rise and Fall and Rise (and Fall) of the U.S. Financial Empire. Foreign Policy https://foreignpolicy.com/2021/01/15/rise-fall-united-states-financial-empire-dollar-global-currency Accessed August 13, 2021.

  • Turhan MI, Sensoy A, Hacihasanoglu E (2014) A comparative analysis of the dynamic relationship between oil prices and exchange rates. J Int Finan Markets Inst Money 32:397–414

    Article  Google Scholar 

  • Wen D, Liu L, Ma Ch, Wang Y (2020) Extreme risk spillovers between crude oil prices and the U.S. exchange rate: evidence from oil-exporting and oil-importing countries. Energy 212:118740

    Article  Google Scholar 

  • Yang L, Cai X, Hamori S (2017) Does the crude oil price influence the exchange rates of oil-importing and oil-exporting countries differently? A Wavelet Coherence Analysis. Int Rev Econ Financ 49:536–547

    Article  Google Scholar 

  • Zalduendo, J. (2006): Determinants of Venezuela's Equilibrium Real Exchange Rate. IMF Working Paper No. 06/74, Available at SSRN: https://ssrn.com/abstract=898735

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Acknowledgements

Luis A. Gil-Alana gratefully acknowledges financial support from the Grant PID2020-113691RB-I00 funded by MCIN/AEI/https://doi.org/10.13039/501100011033. An internal Project from the Universidad Francisco de Vitoria is also acknowledged. Comments from the Editor and two anonymous reviewers are gratefully acknowledged

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Correspondence to Maria Malmierca-Ordoqui.

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Appendix I: Main statistics and graphical trends of the data.

Appendix I: Main statistics and graphical trends of the data.

See Tables 8 and 9.

See Figs. 3, 4, 5, 6, 7, 8 and 9.

Fig. 3
figure 3

Evolution of Norwegian Krone/US Dollar Exchange rate

Fig. 4
figure 4

Evolution of Pound/US Dollar Exchange rate

Fig. 5
figure 5

Evolution of Russian Ruble/US Dollar Exchange rate

Fig. 6
figure 6

Evolution of Algerian Dinar/US Dollar Exchange rate

Fig. 7
figure 7

Evolution of Lybian Dinar/US Dollar Exchange rate

Fig. 8
figure 8

Evolution of Saudi Riyal/US Dollar Exchange rate

Fig. 9
figure 9

Evolution of Euro/US Dollar Exchange rate

Table 8 Summary statistics of the Euro area's energy imports series
Table 9 Summary statistics of exchange rates against USD series

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Malmierca-Ordoqui, M., Gil-Alana, L.A. & Monge, M. Fractional cointegration between energy imports to the EURO area and exchange rates to the US dollar. Empir Econ 66, 859–882 (2024). https://doi.org/10.1007/s00181-023-02468-w

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