Stochastic trends and cointegration in the market for equities
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.
|Date of creation:||1998|
|Date of revision:|
|Contact details of provider:|| Postal: 1000 Peachtree St., N.E., Atlanta, Georgia 30309|
Web page: http://www.frbatlanta.org/
More information through EDIRC
|Order Information:|| Email: |
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Engle, Robert F & Granger, Clive W J, 1987.
"Co-integration and Error Correction: Representation, Estimation, and Testing,"
Econometric Society, vol. 55(2), pages 251-76, March.
- 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.
- 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 203-17, May.
- Gregory, Allan W. & Hansen, Bruce E., 1996.
"Residual-based tests for cointegration in models with regime shifts,"
Journal of Econometrics,
Elsevier, vol. 70(1), pages 99-126, January.
- Tom Doan, . "RATS programs to replicate results from Gregory and Hansen(1996) JOE article," Statistical Software Components RTZ00081, Boston College Department of Economics.
- Tom Doan, . "GREGORYHANSEN: RATS procedure to implement Gregory-Hansen test for Cointegration with breaks," Statistical Software Components RTS00082, Boston College Department of Economics.
- Gregory, A.W. & Hansen, B.E., 1992. "Residual-Based Tests for Cointegration in Models with Regime Shifts," RCER Working Papers 335, University of Rochester - Center for Economic Research (RCER).
- Allan w. Gregory & Bruce E. Hansen, 1992. "residual-Based Tests for Cointegration in Models with Regime Shifts," Working Papers 862, Queen's University, Department of Economics.
- Brenner, Robin J. & Kroner, Kenneth F., 1995. "Arbitrage, Cointegration, and Testing the Unbiasedness Hypothesis in Financial Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(01), pages 23-42, March.
- Baillie, Richard T & Bollerslev, Tim, 1989. " Common Stochastic Trends in a System of Exchange Rates," Journal of Finance, American Finance Association, vol. 44(1), pages 167-81, March.
- Hakkio, Craig S. & Rush, Mark, 1989. "Market efficiency and cointegration: an application to the sterling and deutschemark exchange markets," Journal of International Money and Finance, Elsevier, vol. 8(1), pages 75-88, March.
- John Y. Campbell & Robert J. Shiller, 1986.
"Cointegration and Tests of Present Value Models,"
Cowles Foundation Discussion Papers
785, Cowles Foundation for Research in Economics, Yale University.
- Campbell, John & Shiller, Robert, 1987. "Cointegration and Tests of Present Value Models," Scholarly Articles 3122490, Harvard University Department of Economics.
- John Y. Campbell & Robert J. Shiller, 1986. "Cointegration and Tests of Present Value Models," NBER Working Papers 1885, National Bureau of Economic Research, Inc.
- Kaushik I. Amin & Robert A. Jarrow, 2008.
"Pricing foreign currency options under stochastic interest rates,"
World Scientific Book Chapters,
in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 14, pages 307-326
World Scientific Publishing Co. Pte. Ltd..
- Amin, Kaushik I. & Jarrow, Robert A., 1991. "Pricing foreign currency options under stochastic interest rates," Journal of International Money and Finance, Elsevier, vol. 10(3), pages 310-329, September.
- Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June.
- Harvey, Campbell R & Whaley, Robert E, 1991. " S&P 100 Index Option Volatility," Journal of Finance, American Finance Association, vol. 46(4), pages 1251-61, September.
- Taylor, Mark P & Tonks, Ian, 1989. "The Internationalisation of Stock Markets and the Abolition of U.K. Exchange Control," The Review of Economics and Statistics, MIT Press, vol. 71(2), pages 332-36, May.
When requesting a correction, please mention this item's handle: RePEc:fip:fedawp:98-13. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Elaine Clokey)
If references are entirely missing, you can add them using this form.