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A partially linear approach to modelling the dynamics of spot and futures prices

  • Gaul, Jürgen
  • Theissen, Erik

In this paper we consider the dynamics of spot and futures prices in the presence of arbitrage. We propose a partially linear error correction model where the adjustment coefficient is allowed to depend non-linearly on the lagged price difference. We estimate our model using data on the DAX index and the DAX futures contract. We find that the adjustment is indeed nonlinear. The linear alternative is rejected. The speed of price adjustment is increasing almost monotonically with the magnitude of the price difference.

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Paper provided by Center for Financial Studies (CFS) in its series CFS Working Paper Series with number 2008/12.

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Date of creation: 2008
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Handle: RePEc:zbw:cfswop:200812
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  1. Erik Theissen, 2001. "Price Discovery in Floor and Screen Trading Systems," Bonn Econ Discussion Papers bgse35_2001, University of Bonn, Germany.
  2. Stoll, Hans R. & Whaley, Robert E., 1990. "The Dynamics of Stock Index and Stock Index Futures Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(04), pages 441-468, December.
  3. G. Geoffrey Booth & Ji-Chai Lin & Teppo Martikainen & Yiuman Tse, 2002. "Trading and Pricing in Upstairs and Downstairs Stock Markets," Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1111-1135.
  4. Martens, M. & Kofman, P. & Vorst, T.C.F., 1995. "A Threshold Error Correction Model for Intraday Futures and Index Returns," Monash Econometrics and Business Statistics Working Papers 14/95, Monash University, Department of Econometrics and Business Statistics.
  5. Taylor, Nick & Dijk, Dick van & Franses, Philip Hans & Lucas, Andre, 2000. "SETS, arbitrage activity, and stock price dynamics," Journal of Banking & Finance, Elsevier, vol. 24(8), pages 1289-1306, August.
  6. Pradeep K. Yadav & Peter F. Pope & Krishna Paudyal, 1994. "Threshold Autoregressive Modeling In Finance: The Price Differences Of Equivalent Assets," Mathematical Finance, Wiley Blackwell, vol. 4(2), pages 205-221.
  7. Tse, Yiuman, 2001. "Index arbitrage with heterogeneous investors: A smooth transition error correction analysis," Journal of Banking & Finance, Elsevier, vol. 25(10), pages 1829-1855, October.
  8. Harris, Frederick H. deB. & McInish, Thomas H. & Wood, Robert A., 2002. "Common factor components versus information shares: a reply," Journal of Financial Markets, Elsevier, vol. 5(3), pages 341-348, July.
  9. Richard Roll & Eduardo Schwartz & Avanidhar Subrahmanyam, 2007. "Liquidity and the Law of One Price: The Case of the Futures-Cash Basis," Journal of Finance, American Finance Association, vol. 62(5), pages 2201-2234, October.
  10. John Xu Zheng, 1996. "A consistent test of functional form via nonparametric estimation techniques," Journal of Econometrics, Elsevier, vol. 75(2), pages 263-289, December.
  11. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  12. Gerald P. Dwyer, Jr. & Peter Locke & Wei Yu, 1995. "Index arbitrage and nonlinear dynamics between the S&P 500 futures and cash," Working Paper 95-17, Federal Reserve Bank of Atlanta.
  13. Li, Q. & Wang, Suojin, 1998. "A simple consistent bootstrap test for a parametric regression function," Journal of Econometrics, Elsevier, vol. 87(1), pages 145-165, August.
  14. Robinson, Peter M, 1988. "Root- N-Consistent Semiparametric Regression," Econometrica, Econometric Society, vol. 56(4), pages 931-54, July.
  15. McDonald, Robert L, 2001. "Cross-Border Investing with Tax Arbitrage: The Case of German Dividend Tax Credits," Review of Financial Studies, Society for Financial Studies, vol. 14(3), pages 617-57.
  16. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
  17. Hansen, Bruce E. & Seo, Byeongseon, 2002. "Testing for two-regime threshold cointegration in vector error-correction models," Journal of Econometrics, Elsevier, vol. 110(2), pages 293-318, October.
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