IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v392y2013i15p3198-3212.html
   My bibliography  Save this article

Salient features of dependence in daily US stock market indices

Author

Listed:
  • Gil-Alana, Luis A.
  • Cunado, Juncal
  • de Gracia, Fernando Perez

Abstract

This paper deals with the analysis of long range dependence in the US stock market. We focus first on the log-values of the Dow Jones Industrial Average, Standard and Poors 500 and Nasdaq indices, daily from February, 1971 to February, 2007. The volatility processes are examined based on the squared and the absolute values of the returns series, and the stability of the parameters across time is also investigated in both the level and the volatility processes. A method that permits us to estimate fractional differencing parameters in the context of structural breaks is conducted in this paper. Finally, the “day of the week” effect is examined by looking at the order of integration for each day of the week, providing also a new modeling approach to describe the dependence in this context.

Suggested Citation

  • Gil-Alana, Luis A. & Cunado, Juncal & de Gracia, Fernando Perez, 2013. "Salient features of dependence in daily US stock market indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(15), pages 3198-3212.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:15:p:3198-3212
    DOI: 10.1016/j.physa.2013.03.040
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437113002732
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2013.03.040?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Myung Jig Kim & Charles R. Nelson & Richard Startz, 1991. "Mean Reversion in Stock Prices? A Reappraisal of the Empirical Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 515-528.
    2. Wang, Ko & Li, Yuming & Erickson, John, 1997. "A New Look at the Monday Effect," Journal of Finance, American Finance Association, vol. 52(5), pages 2171-2186, December.
    3. Richardson, Matthew, 1993. "Temporary Components of Stock Prices: A Skeptic's View," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(2), pages 199-207, April.
    4. Harvey, Campbell R, 1995. "Predictable Risk and Returns in Emerging Markets," The Review of Financial Studies, Society for Financial Studies, vol. 8(3), pages 773-816.
    5. Granger, Clive W. J. & Hyung, Namwon, 2004. "Occasional structural breaks and long memory with an application to the S&P 500 absolute stock returns," Journal of Empirical Finance, Elsevier, vol. 11(3), pages 399-421, June.
    6. Gil-Alana, L. A. & Robinson, P. M., 1997. "Testing of unit root and other nonstationary hypotheses in macroeconomic time series," Journal of Econometrics, Elsevier, vol. 80(2), pages 241-268, October.
    7. Yanhui Liu & Parameswaran Gopikrishnan & Pierre Cizeau & Martin Meyer & Chung-Kang Peng & H. Eugene Stanley, 1999. "The statistical properties of the volatility of price fluctuations," Papers cond-mat/9903369, arXiv.org, revised Mar 1999.
    8. Diebold, Francis X. & Inoue, Atsushi, 2001. "Long memory and regime switching," Journal of Econometrics, Elsevier, vol. 105(1), pages 131-159, November.
    9. Lobato, Ignacio N & Savin, N E, 1998. "Real and Spurious Long-Memory Properties of Stock-Market Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 261-268, July.
    10. Luis A. Gil‐Alana, 2008. "Fractional integration and structural breaks at unknown periods of time," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(1), pages 163-185, January.
    11. Jeffrey Jaffe & R. Westerfield, "undated". "The Week-End Effect in Common Stock Returns: The International Evidence," Rodney L. White Center for Financial Research Working Papers 3-85, Wharton School Rodney L. White Center for Financial Research.
    12. Jaffe, Jeffrey F & Westerfield, Randolph, 1985. "The Week-End Effect in Common Stock Returns: The International Evidence," Journal of Finance, American Finance Association, vol. 40(2), pages 433-454, June.
    13. Agrawal, Anup & Tandon, Kishore, 1994. "Anomalies or illusions? Evidence from stock markets in eighteen countries," Journal of International Money and Finance, Elsevier, vol. 13(1), pages 83-106, February.
    14. Podobnik, Boris & Fu, Dongfeng & Jagric, Timotej & Grosse, Ivo & Eugene Stanley, H., 2006. "Fractionally integrated process for transition economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 465-470.
    15. Dyl, Edward A & Maberly, Edwin D, 1988. " The Anomaly That Isn't There: A Comment on Friday the Thirteenth," Journal of Finance, American Finance Association, vol. 43(5), pages 1285-1286, December.
    16. Barkoulas, John T. & Baum, Christopher F., 1996. "Long-term dependence in stock returns," Economics Letters, Elsevier, vol. 53(3), pages 253-259, December.
    17. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    18. Gultekin, Mustafa N. & Gultekin, N. Bulent, 1983. "Stock market seasonality : International Evidence," Journal of Financial Economics, Elsevier, vol. 12(4), pages 469-481, December.
    19. Lakonishok, Josef & Maberly, Edwin, 1990. "The Weekend Effect: Trading Patterns of Individual and Institutional Investors," Journal of Finance, American Finance Association, vol. 45(1), pages 231-243, March.
    20. Cornell, Bradford, 1985. "The Weekly Pattern in Stock Returns: Cash versus Futures: A Note," Journal of Finance, American Finance Association, vol. 40(2), pages 583-588, June.
    21. Jeffrey Jaffe & R. Westerfield, "undated". "The Week-End Effect in Common Stock Returns: The International Evidence," Rodney L. White Center for Financial Research Working Papers 03-85, Wharton School Rodney L. White Center for Financial Research.
    22. C. W. J. Granger & Zhuanxin Ding, 1995. "Some Properties of Absolute Return: An Alternative Measure of Risk," Annals of Economics and Statistics, GENES, issue 40, pages 67-91.
    23. Baillie, Richard T. & Bollerslev, Tim & Mikkelsen, Hans Ole, 1996. "Fractionally integrated generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 74(1), pages 3-30, September.
    24. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    25. Solnik, Bruno & Bousquet, Laurence, 1990. "Day-of-the-week effect on the Paris Bourse," Journal of Banking & Finance, Elsevier, vol. 14(2-3), pages 461-468, August.
    26. Duan Wang & Boris Podobnik & Davor Horvati'c & H. Eugene Stanley, 2011. "Quantifying and Modeling Long-Range Cross-Correlations in Multiple Time Series with Applications to World Stock Indices," Papers 1102.2240, arXiv.org.
    27. Andrew W. Lo, A. Craig MacKinlay, 1988. "Stock Market Prices do not Follow Random Walks: Evidence from a Simple Specification Test," Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 41-66.
    28. Su Han Chan & Wai-Kin Leung & Ko Wang, 2004. "The Impact of Institutional Investors on the Monday Seasonal," The Journal of Business, University of Chicago Press, vol. 77(4), pages 967-986, October.
    29. Poterba, James M. & Summers, Lawrence H., 1988. "Mean reversion in stock prices : Evidence and Implications," Journal of Financial Economics, Elsevier, vol. 22(1), pages 27-59, October.
    30. Lo, Andrew W, 1991. "Long-Term Memory in Stock Market Prices," Econometrica, Econometric Society, vol. 59(5), pages 1279-1313, September.
    31. 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.
    32. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    33. Chris Brooks & Gita Persand, 2001. "Seasonality in Southeast Asian stock markets: some new evidence on day-of-the-week effects," Applied Economics Letters, Taylor & Francis Journals, vol. 8(3), pages 155-158.
    34. Mandelbrot, Benoit B, 1971. "When Can Price Be Arbitraged Efficiently? A Limit to the Validity of the Random Walk and Martingale Models," The Review of Economics and Statistics, MIT Press, vol. 53(3), pages 225-236, August.
    35. Granger, C. W. J., 1980. "Long memory relationships and the aggregation of dynamic models," Journal of Econometrics, Elsevier, vol. 14(2), pages 227-238, October.
    36. Granger, Clive W. J. & Ding, Zhuanxin, 1996. "Varieties of long memory models," Journal of Econometrics, Elsevier, vol. 73(1), pages 61-77, July.
    37. French, Kenneth R., 1980. "Stock returns and the weekend effect," Journal of Financial Economics, Elsevier, vol. 8(1), pages 55-69, March.
    38. Ronald Balvers & Yangru Wu & Erik Gilliland, 2000. "Mean Reversion across National Stock Markets and Parametric Contrarian Investment Strategies," Journal of Finance, American Finance Association, vol. 55(2), pages 745-772, April.
    39. Hiemstra, Craig & Jones, Jonathan D., 1997. "Another look at long memory in common stock returns," Journal of Empirical Finance, Elsevier, vol. 4(4), pages 373-401, December.
    40. Sadique, Shibley & Silvapulle, Param, 2001. "Long-Term Memory in Stock Market Returns: International Evidence," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 6(1), pages 59-67, January.
    41. Lobato, Ignacio N & Savin, N E, 1998. "Real and Spurious Long-Memory Properties of Stock-Market Data: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 280-283, July.
    42. Kiymaz, Halil & Berument, Hakan, 2003. "The day of the week effect on stock market volatility and volume: International evidence," Review of Financial Economics, Elsevier, vol. 12(4), pages 363-380.
    43. Abraham, Abraham & Ikenberry, David L., 1994. "The Individual Investor and the Weekend Effect," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(2), pages 263-277, June.
    44. Gibbons, Michael R & Hess, Patrick, 1981. "Day of the Week Effects and Asset Returns," The Journal of Business, University of Chicago Press, vol. 54(4), pages 579-596, October.
    45. Luis A. Gil-Alana & Javier Hualde, 2009. "Fractional Integration and Cointegration: An Overview and an Empirical Application," Palgrave Macmillan Books, in: Terence C. Mills & Kerry Patterson (ed.), Palgrave Handbook of Econometrics, chapter 10, pages 434-469, Palgrave Macmillan.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bouteska, Ahmed & Sharif, Taimur & Abedin, Mohammad Zoynul, 2023. "COVID-19 and stock returns: Evidence from the Markov switching dependence approach," Research in International Business and Finance, Elsevier, vol. 64(C).
    2. Plastun, Alex & Sibande, Xolani & Gupta, Rangan & Wohar, Mark E., 2020. "Halloween Effect in developed stock markets: A historical perspective," International Economics, Elsevier, vol. 161(C), pages 130-138.
    3. José Carlos Vides & Antonio A. Golpe & Jesús Iglesias, 2018. "How did the Sovereign debt crisis affect the Euro financial integration? A fractional cointegration approach," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 45(4), pages 685-706, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Guglielmo Maria Caporale & Luis Gil-Alana, 2011. "The weekly structure of US stock prices," Applied Financial Economics, Taylor & Francis Journals, vol. 21(23), pages 1757-1764.
    2. Gil-Alana, Luis A. & Shittu, Olanrewaju I. & Yaya, OlaOluwa S., 2014. "On the persistence and volatility in European, American and Asian stocks bull and bear markets," Journal of International Money and Finance, Elsevier, vol. 40(C), pages 149-162.
    3. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2013. "Long Memory in the Ukrainian Stock Market," Discussion Papers of DIW Berlin 1279, DIW Berlin, German Institute for Economic Research.
    4. Chowdhury, Anup & Uddin, Moshfique & Anderson, Keith, 2022. "Trading behaviour and market sentiment: Firm-level evidence from an emerging Islamic market," Global Finance Journal, Elsevier, vol. 53(C).
    5. Dumitriu, Ramona & Stefanescu, Razvan, 2013. "DOW effects in returns and in volatility of stock markets during quiet and turbulent times," MPRA Paper 47218, University Library of Munich, Germany, revised 02 Apr 2013.
    6. Gil-Alana, L.A., 2006. "Fractional integration in daily stock market indexes," Review of Financial Economics, Elsevier, vol. 15(1), pages 28-48.
    7. Mehmet Hasan Eken & Taylan Ozgür Uner, 2010. "Calendar Effects in the Stock Market and a Practice Relatedn to the Istanbul Stock Exchange Market (ISEM)," Istanbul Stock Exchange Review, Research and Business Development Department, Borsa Istanbul, vol. 12(45), pages 59-95.
    8. A. R. Zafer Sayar & Onder Kaymaz & Ali Alp, 2010. "The Effect of the Transparency Level of the ISE-Listed Banks on Liquidity," Istanbul Stock Exchange Review, Research and Business Development Department, Borsa Istanbul, vol. 12(45), pages 27-58.
    9. Cunado, J. & Gil-Alana, L.A. & Gracia, Fernando Perez de, 2010. "Mean reversion in stock market prices: New evidence based on bull and bear markets," Research in International Business and Finance, Elsevier, vol. 24(2), pages 113-122, June.
    10. repec:bor:iserev:v:12:y:2012:i:45:p:27-58 is not listed on IDEAS
    11. Faruk Bostanci & Saim Kilic, 2010. "The Effects of Free Float Ratios on Market Performance: An Empirical Study on the Istanbul Stock Exchange," Istanbul Stock Exchange Review, Research and Business Development Department, Borsa Istanbul, vol. 12(45), pages 1-14.
    12. Guglielmo Maria Caporale & Luis A. Gil‐Alana & James C. Orlando, 2016. "Linkages Between the US and European Stock Markets: A Fractional Cointegration Approach," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 21(2), pages 143-153, April.
    13. repec:bor:iserev:v:12:y:2012:i:45:p:1-26 is not listed on IDEAS
    14. repec:bor:iserev:v:12:y:2012:i:45:p:59-95 is not listed on IDEAS
    15. Kunal Saha & Vinodh Madhavan & Chandrashekhar G. R. & David McMillan, 2020. "Pitfalls in long memory research," Cogent Economics & Finance, Taylor & Francis Journals, vol. 8(1), pages 1733280-173, January.
    16. H. Kent Baker & Abdul Rahman & Samir Saadi, 2008. "The day‐of‐the‐week effect and conditional volatility: Sensitivity of error distributional assumptions," Review of Financial Economics, John Wiley & Sons, vol. 17(4), pages 280-295, December.
    17. Roberto Joaquín Santillán Salgado & Alejandro Fonseca Ramírez & Luis Nelson Romero, 2019. "The "day-of-the-week" effects in the exchange rate of Latin American currencies," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 14(PNEA), pages 485-507, Agosto 20.
    18. Jinghan Cai & Jibao He & Le Xia & Weili Zhai, 2017. "Weekend Effect and Short Sales: Evidence from Hong Kong," International Journal of Economics and Financial Research, Academic Research Publishing Group, vol. 3(2), pages 8-18, 02-2017.
    19. Lu, Yang K. & Perron, Pierre, 2010. "Modeling and forecasting stock return volatility using a random level shift model," Journal of Empirical Finance, Elsevier, vol. 17(1), pages 138-156, January.
    20. Luis Gil-Alana, 2010. "Testing persistence in the context of conditional heteroscedasticity errors," Applied Financial Economics, Taylor & Francis Journals, vol. 20(22), pages 1709-1723.
    21. Lean, Hooi Hooi & Smyth, Russell & Wong, Wing-Keung, 2007. "Revisiting calendar anomalies in Asian stock markets using a stochastic dominance approach," Journal of Multinational Financial Management, Elsevier, vol. 17(2), pages 125-141, April.
    22. Satish K. Mittal & Sonal Jain, 2009. "Stock Market Behaviour: Evidences from Indian Market," Vision, , vol. 13(3), pages 19-29, July.
    23. Bohl, Martin T. & Schuppli, Michael & Siklos, Pierre L., 2010. "Stock return seasonalities and investor structure: Evidence from China's B-share markets," China Economic Review, Elsevier, vol. 21(1), pages 190-201, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:392:y:2013:i:15:p:3198-3212. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.