The dynamics of a nonlinear relationship between crude oil spot and futures prices: A multivariate threshold regression approach
This paper segments daily data from January of 1986 to April of 2007 into three periods based on certain important events. Both periods I and II indicate that the spot prices in general are higher than futures prices as was well-known in the literature. Only period-III (2001/9/11-2007/4/30) displays a reverse phenomenon: futures prices, in general, exceed spot prices. When the absolute value of a basis (futures-spot) is greater than the threshold value in the arbitrage area (regime 1 and 3), at least one of the error correction coefficients, representing adjustment towards equilibrium, is statistically significant. That is, there exists a tendency in the oil market in which prices move toward equilibrium. With respect to the short-run dynamic interaction between spot price change ([Delta]st) and futures price change ([Delta]ft), our results indicate that when the spot price is higher than futures price, and the basis is less than certain threshold value (regime 3), there exists at least one causal relationship between [Delta]st and [Delta]ft. Conversely, when the futures price is higher than spot price and the basis is higher than certain threshold value (regime 1), there exists at least one causal relationship between [Delta]st and [Delta]ft. Finally, we use the method suggested by Diebold and Mariano [Diebold, Francis X., Mariano, Roberto S., 1995. Comparing predictive accuracy. Journal of Business and Economic Statistics 13 (3), 253-263] to compare the predictive power between the linear and nonlinear models. Our empirical results indicate that the in-sample prediction of the nonlinear model is clearly superior to that of the linear model.
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- Balke, Nathan S & Fomby, Thomas B, 1997.
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-645, August.
- Balke, Nathan S. & Fomby, Thomas B., 1992. "Threshold cointegration," Working Papers 9209, Federal Reserve Bank of Dallas.
- Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
- Diebold, Francis X & Mariano, Roberto S, 1995. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 253-263, July.
- Francis X. Diebold & Robert S. Mariano, 1994. "Comparing Predictive Accuracy," NBER Technical Working Papers 0169, National Bureau of Economic Research, Inc.
- M. Illueca & J. A. Lafuente, 2003. "The effect of spot and futures trading on stock index market volatility: A nonparametric approach," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 23(9), pages 841-858, 09.
- Seo, Myunghwan, 2006. "Bootstrap testing for the null of no cointegration in a threshold vector error correction model," Journal of Econometrics, Elsevier, vol. 134(1), pages 129-150, September.
- 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.
- Litzenberger, Robert H & Rabinowitz, Nir, 1995. " Backwardation in Oil Futures Markets: Theory and Empirical Evidence," Journal of Finance, American Finance Association, vol. 50(5), pages 1517-1545, December.
- Ashley, Richard A. & Patterson, Douglas M., 2006. "Evaluating the Effectiveness of State-Switching Time Series Models for U.S. Real Output," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 266-277, July.
- Dwyer, Gerald P, Jr & Locke, Peter R & Yu, Wei, 1996. "Index Arbitrage and Nonlinear Dynamics between the S&P 500 Futures and Cash," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 301-332.
- Gerald P. Dwyer & Peter Locke & Wei Yu, 1995. "Index arbitrage and nonlinear dynamics between the S&P 500 futures and cash," FRB Atlanta Working Paper 95-17, Federal Reserve Bank of Atlanta.
- Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
- Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-276, March.
- Lo, Ming Chien & Zivot, Eric, 2001. "Threshold Cointegration And Nonlinear Adjustment To The Law Of One Price," Macroeconomic Dynamics, Cambridge University Press, vol. 5(04), pages 533-576, September.
- Chow, Ying-Foon & McAleer, Michael & Sequeira, John M, 2000. " Pricing of Forward and Futures Contracts," Journal of Economic Surveys, Wiley Blackwell, vol. 14(2), pages 215-253, April.
- Weise, Charles L, 1999. "The Asymmetric Effects of Monetary Policy: A Nonlinear Vector Autoregression Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(1), pages 85-108, February.
- Charles M. Oellermann & B. Wade Brorsen & Paul L. Farris, 1989. "Price discovery for feeder cattle," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 9(2), pages 113-121, 04.
- Chris Brooks & Ian Garrett, 2002. "Can we explain the dynamics of the UK FTSE 100 stock and stock index futures markets?," Applied Financial Economics, Taylor & Francis Journals, vol. 12(1), pages 25-31.
- Robert S. Pindyck, 2001. "The Dynamics of Commodity Spot and Futures Markets: A Primer," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 1-30.
- Foster, Andrew J., 1996. "Price discovery in oil markets: a time varying analysis of the 1990-1991 Gulf conflict," Energy Economics, Elsevier, vol. 18(3), pages 231-246, July. Full references (including those not matched with items on IDEAS)