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Linear and Nonlinear Intraday Dynamics between the Eurostoxx-50

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Abstract

We set out to analyse the linear and nonlinear dynamic behaviour of intraday returns in the Eurostoxx 50 index and its futures contract which, given their relatively recent appearance, have not yet been analysed. We shall develop our study both from an individual and from a combined approach. The results of the BDS test indicate that the variables are not iid and that the detected nonlinear individual dynamics cannot solely be explained by the presence of conditional heteroskedasticity. For the study of the dynamic relationships between both markets’ prices, we allow the adjustment process to the imbalance of the long term cointegration relationship to be nonlinear. We find cointegration with a nonlinear adjustment process. Finally, we show that the information flow is bidirectional both in the linear as well as in the nonlinear sphere.

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  • Luisa Nieto & Mª Dolores Robles Fernández & Ángeles Fernández, 2002. "Linear and Nonlinear Intraday Dynamics between the Eurostoxx-50," Documentos de Trabajo del ICAE 0208, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    • Handle: RePEc:ucm:doicae:0208
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    1. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," 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.
    2. Roger A. Fujihara & Mbodja Mougoué, 1997. "An examination of linear and nonlinear causal relationships between price variability and volume in petroleum futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 17(4), pages 385-416, June.
    3. Whitney K. Newey & Kenneth D. West, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(4), pages 631-653.
    4. Moosa, Imad A. & Silvapulle, Param, 2000. "The price-volume relationship in the crude oil futures market Some results based on linear and nonlinear causality testing," International Review of Economics & Finance, Elsevier, vol. 9(1), pages 11-30, February.
    5. Newey, Whitney K & West, Kenneth D, 1987. "Hypothesis Testing with Efficient Method of Moments Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(3), pages 777-787, October.
    6. A. I. McLeod & W. K. Li, 1983. "Diagnostic Checking Arma Time Series Models Using Squared‐Residual Autocorrelations," Journal of Time Series Analysis, Wiley Blackwell, vol. 4(4), pages 269-273, July.
    7. Ernst R. Berndt & Bronwyn H. Hall & Robert E. Hall & Jerry A. Hausman, 1974. "Estimation and Inference in Nonlinear Structural Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 3, number 4, pages 653-665, National Bureau of Economic Research, Inc.
    8. Seung‐Ryong Yang & B. Wade Brorsen, 1993. "Nonlinear dynamics of daily futures prices: Conditional heteroskedasticity or chaos?," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 13(2), pages 175-191, April.
    9. Ludlow, Jorge & Enders, Walter, 2000. "Estimating non-linear ARMA models using Fourier coefficients," International Journal of Forecasting, Elsevier, vol. 16(3), pages 333-347.
    10. Hsieh, David A, 1989. "Testing for Nonlinear Dependence in Daily Foreign Exchange Rates," The Journal of Business, University of Chicago Press, vol. 62(3), pages 339-368, July.
    11. Abhay Abhyankar, 1998. "Linear and nonlinear Granger causality: Evidence from the U.K. stock index futures market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 18(5), pages 519-540, August.
    12. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. "On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
    13. Engle, Robert F & Ng, Victor K, 1993. "Measuring and Testing the Impact of News on Volatility," Journal of Finance, American Finance Association, vol. 48(5), pages 1749-1778, December.
    14. 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.
    15. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    16. Hsieh, David A, 1991. "Chaos and Nonlinear Dynamics: Application to Financial Markets," Journal of Finance, American Finance Association, vol. 46(5), pages 1839-1877, December.
    17. Robert Savit, 1988. "When random is not random: An introduction to chaos in market prices," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 8(3), pages 271-290, June.
    18. Hsieh, David A., 1993. "Implications of Nonlinear Dynamics for Financial Risk Management," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(1), pages 41-64, March.
    19. Hiemstra, Craig & Jones, Jonathan D, 1994. "Testing for Linear and Nonlinear Granger Causality in the Stock Price-Volume Relation," Journal of Finance, American Finance Association, vol. 49(5), pages 1639-1664, December.
    20. Jeff Fleming & Barbara Ostdiek & Robert E. Whaley, 1996. "Trading costs and the relative rates of price discovery in stock, futures, and option markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 16(4), pages 353-387, June.
    21. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
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    Keywords

    Nonlinearity; BDS; Nonlinear error correction mechanism; Nonlinear causality; Eurostoxx50; Index futures.;
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