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A fractionally cointegrated VAR model with deterministic trends and application to commodity futures markets

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  • Dolatabadi, Sepideh
  • ßrregaard Nielsen, Morten
  • Xu, Ke

Abstract

We apply the fractionally cointegrated vector autoregressive (FCVAR) model to analyze the relationship between spot and futures prices in five commodity markets (aluminium, copper, lead, nickel, and zinc). To this end, we first extend the FCVAR model to accommodate de- terministic trends in the levels of the processes. The methodological contribution is to provide representation theory for the FCVAR model with deterministic trends, where we show that the presence of the deterministic trend in the process induces both restricted and unrestricted constant terms in the vector error correction model. The consequences for the cointegration rank test are also brie y discussed. In our empirical application we use the data from Figuerola- Ferretti and Gonzalo (2010), who conduct a similar analysis using the usual (non-fractional) cointegrated VAR model. The main conclusion from the empirical analysis is that, when using the FCVAR model, there is more support for the cointegration vector (1;-1)0 in the long-run equilibrium relationship between spot and futures prices, and hence less evidence of long-run backwardation, compared to the results from the non-fractional model. Specifically, we reject the hypothesis that the cointegration vector is (1;-1) using standard likelihood ratio tests only for the lead and nickel markets.

Suggested Citation

  • Dolatabadi, Sepideh & ßrregaard Nielsen, Morten & Xu, Ke, 2015. "A fractionally cointegrated VAR model with deterministic trends and application to commodity futures markets," Queen's Economics Department Working Papers 274653, Queen's University - Department of Economics.
    • Handle: RePEc:ags:quedwp:274653
    DOI: 10.22004/ag.econ.274653
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    References listed on IDEAS

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    1. Søren Johansen & Morten Ørregaard Nielsen, 2012. "Likelihood Inference for a Fractionally Cointegrated Vector Autoregressive Model," Econometrica, Econometric Society, vol. 80(6), pages 2667-2732, November.
    2. Baillie, Richard T & Bollerslev, Tim, 1994. "The long memory of the forward premium," Journal of International Money and Finance, Elsevier, vol. 13(5), pages 565-571, October.
    3. Kellard, Neil & Sarantis, Nicholas, 2008. "Can exchange rate volatility explain persistence in the forward premium?," Journal of Empirical Finance, Elsevier, vol. 15(4), pages 714-728, September.
    4. Joakim Westerlund & Paresh Narayan, 2013. "Testing the Efficient Market Hypothesis in Conditionally Heteroskedastic Futures Markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 33(11), pages 1024-1045, November.
    5. Donald Lien & Yiu Kuen Tse, 1999. "Fractional cointegration and futures hedging," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 19(4), pages 457-474, June.
    6. Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-157, April.
    7. repec:bla:jecsur:v:14:y:2000:i:2:p:215-53 is not listed on IDEAS
    8. Johansen, Søren & Nielsen, Morten Ørregaard, 2010. "Likelihood inference for a nonstationary fractional autoregressive model," Journal of Econometrics, Elsevier, vol. 158(1), pages 51-66, September.
    9. Jerry Coakley & Jian Dollery & Neil Kellard, 2011. "Long memory and structural breaks in commodity futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 31(11), pages 1076-1113, November.
    10. Nicholas Kaldor, 1939. "Speculation and Economic Stability," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 7(1), pages 1-27.
    11. Ying‐Foon Chow & Michael McAleer & John Sequeira, 2000. "Pricing of Forward and Futures Contracts," Journal of Economic Surveys, Wiley Blackwell, vol. 14(2), pages 215-253, April.
    12. Johansen, SØren, 2008. "A Representation Theory For A Class Of Vector Autoregressive Models For Fractional Processes," Econometric Theory, Cambridge University Press, vol. 24(3), pages 651-676, June.
    13. Alex Maynard & Peter C. B. Phillips, 2001. "Rethinking an old empirical puzzle: econometric evidence on the forward discount anomaly," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(6), pages 671-708.
    14. Andreas Noack Jensen & Morten Ørregaard Nielsen, 2014. "A Fast Fractional Difference Algorithm," Journal of Time Series Analysis, Wiley Blackwell, vol. 35(5), pages 428-436, August.
    15. Federico Carlini & Paolo Santucci de Magistris, 2019. "On the Identification of Fractionally Cointegrated VAR Models With the Condition," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(1), pages 134-146, January.
    16. Abdur R. Chowdhury, 1991. "Futures market efficiency: Evidence from cointegration tests," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 11(5), pages 577-589, October.
    17. James G. MacKinnon & Morten Ørregaard Nielsen, 2014. "Numerical Distribution Functions Of Fractional Unit Root And Cointegration Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(1), pages 161-171, January.
    18. Garbade, Kenneth D & Silber, William L, 1983. "Price Movements and Price Discovery in Futures and Cash Markets," The Review of Economics and Statistics, MIT Press, vol. 65(2), pages 289-297, May.
    19. Bryan R. Routledge & Duane J. Seppi & Chester S. Spatt, 2000. "Equilibrium Forward Curves for Commodities," Journal of Finance, American Finance Association, vol. 55(3), pages 1297-1338, June.
    20. Neil Kellard & Paul Newbold & Tony Rayner & Christine Ennew, 1999. "The relative efficiency of commodity futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 19(4), pages 413-432, June.
    21. Baillie, Richard T & Myers, Robert J, 1991. "Bivariate GARCH Estimation of the Optimal Commodity Futures Hedge," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(2), pages 109-124, April-Jun.
    22. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
    23. Figuerola-Ferretti, Isabel & Gonzalo, Jesús, 2010. "Modelling and measuring price discovery in commodity markets," Journal of Econometrics, Elsevier, vol. 158(1), pages 95-107, September.
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