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Stochastic trends and cointegration in the market for equities

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  • Lucy F. Ackert
  • Marie D. Racine

Abstract

We use a no-arbitrage, cost-of-carry pricing model to examine whether equity spot and futures markets are cointegrated. A stock index and its futures price should be cointegrated if the cost of carry is stationary. Otherwise, the appropriate cointegrating relationship is trivariate and includes the index, futures price, and cost of carry. We study the relationships among the Standard and Poor's 500 index, associated index futures price series, and interest rate for January 4, 1988, through June 30, 1995, and find that all three series are nonstationary. We further find that the index and futures price are not cointegrated unless the cost of carry is included in the cointegrating relationship. Our findings are consistent with the no-arbitrage pricing model and do not appear to be sensitive to the presence of structural breaks in the series.

Suggested Citation

  • Lucy F. Ackert & Marie D. Racine, 1998. "Stochastic trends and cointegration in the market for equities," FRB Atlanta Working Paper 98-13, Federal Reserve Bank of Atlanta.
  • Handle: RePEc:fip:fedawp:98-13
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    References listed on IDEAS

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    1. 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.
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    12. Cushing, Matthew J & Ackert, Lucy F, 1994. "Interest Rate Innovations and the Volatility of Long-Term Bond Yields," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 26(2), pages 203-217, May.
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    Cited by:

    1. 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.

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    Keywords

    Cointegration ; Financial markets;

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