IDEAS home Printed from https://ideas.repec.org/a/eee/finana/v19y2010i1p10-18.html
   My bibliography  Save this article

Systematic risk and time scales: New evidence from an application of wavelet approach to the emerging Gulf stock markets

Author

Listed:
  • Masih, Mansur
  • Alzahrani, Mohammed
  • Al-Titi, Omar

Abstract

The paper is the first attempt to estimate systematic risk 'beta' at different time scales in the context of the emerging Gulf Cooperation Council (GCC) equity markets by applying a relatively new approach in finance known as wavelet analysis. Our results indicate that on average beta coefficients in all GCC countries show a multiscale tendency. This is consistent with our theoretical expectation that stock market investors have different time horizons due to different trading strategies and that is also reflective of the characteristics of the GCC markets in particular in that they are less developed, less liquid, involve more transaction costs, highly dependent on individual investors, and prone to infrequent trading. Further, we analyze the impact of different time scales on Value at Risk (VaR) and find that VaR measured at different time scales suggests that risk tends to be concentrated more at the higher frequencies (lower time scales) of the data. The results are plausible and intuitive and have strong policy implications.

Suggested Citation

  • Masih, Mansur & Alzahrani, Mohammed & Al-Titi, Omar, 2010. "Systematic risk and time scales: New evidence from an application of wavelet approach to the emerging Gulf stock markets," International Review of Financial Analysis, Elsevier, vol. 19(1), pages 10-18, January.
  • Handle: RePEc:eee:finana:v:19:y:2010:i:1:p:10-18
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1057-5219(09)00074-X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Ramsey James B. & Lampart Camille, 1998. "The Decomposition of Economic Relationships by Time Scale Using Wavelets: Expenditure and Income," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(1), pages 1-22, April.
    2. Lin Shinn-Juh & Stevenson Maxwell, 2001. "Wavelet Analysis of the Cost-of-Carry Model," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(1), pages 1-17, April.
    3. repec:ebl:ecbull:v:3:y:2004:i:44:p:1-14 is not listed on IDEAS
    4. Ramsey, James B. & Zhang, Zhifeng, 1997. "The analysis of foreign exchange data using waveform dictionaries," Journal of Empirical Finance, Elsevier, vol. 4(4), pages 341-372, December.
    5. Fung, William K. H. & Schwartz, Robert A. & Whitcomb, David K., 1985. "Adjusting for the intervalling effect bias in beta : A Test using Paris Bourse Data," Journal of Banking & Finance, Elsevier, vol. 9(3), pages 443-460, September.
    6. Hawawini, Gabriel & Cohen, Kalman & Maier, Steven & Schwartz, Robert & Whitcomb, David, 1980. "Implications of microstructure theory for empirical research in stock price behavior," MPRA Paper 33976, University Library of Munich, Germany.
    7. Brailsford, Timothy J. & Josev, Thomas, 1997. "The impact of the return interval on the estimation of systematic risk," Pacific-Basin Finance Journal, Elsevier, vol. 5(3), pages 357-376, July.
    8. Frankfurter, George M. & Leung, Wai K. & Brockman, Paul D., 1994. "Compounding period length and the market model," Journal of Economics and Business, Elsevier, vol. 46(3), pages 179-193, August.
    9. Fernandez Viviana P, 2005. "The International CAPM and a Wavelet-Based Decomposition of Value at Risk," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(4), pages 1-37, December.
    10. Gençay, Ramazan & Selçuk, Faruk & Whitcher, Brandon, 2001. "Scaling properties of foreign exchange volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(1), pages 249-266.
    11. Levhari, David & Levy, Haim, 1977. "The Capital Asset Pricing Model and the Investment Horizon," The Review of Economics and Statistics, MIT Press, vol. 59(1), pages 92-104, February.
    12. Karuppiah, Jeyanthi & Los, Cornelis A., 2005. "Wavelet multiresolution analysis of high-frequency Asian FX rates, Summer 1997," International Review of Financial Analysis, Elsevier, vol. 14(2), pages 211-246.
    13. John Y. Campbell, 2000. "Asset Pricing at the Millennium," Journal of Finance, American Finance Association, vol. 55(4), pages 1515-1567, August.
    14. Handa, Puneet & Kothari, S. P. & Wasley, Charles, 1989. "The relation between the return interval and betas : Implications for the size effect," Journal of Financial Economics, Elsevier, vol. 23(1), pages 79-100, June.
    15. McInish, Thomas H & Wood, Robert A, 1986. "Adjusting for Beta Bias: An Assessment of Alternative Techniques: A Note," Journal of Finance, American Finance Association, vol. 41(1), pages 277-286, March.
    16. Abraham Abraham & Fazal J. Seyyed & Sulaiman A. Alsakran, 2002. "Testing the Random Walk Behavior and Efficiency of the Gulf Stock Markets," The Financial Review, Eastern Finance Association, vol. 37(3), pages 469-480, August.
    17. Kalman J. Cohen & Gabriel A. Hawawini & Steven F. Maier & Robert A. Schwartz & David K. Whitcomb, 1983. "Estimating and Adjusting for the Intervalling-Effect Bias in Beta," Management Science, INFORMS, vol. 29(1), pages 135-148, January.
    18. Dimson, Elroy, 1979. "Risk measurement when shares are subject to infrequent trading," Journal of Financial Economics, Elsevier, vol. 7(2), pages 197-226, June.
    19. John H. Cochrane, 1999. "New facts in finance," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 23(Q III), pages 36-58.
    20. Abdullah Almasri & Ghazi Shukur, 2003. "An illustration of the causality relation between government spending and revenue using wavelet analysis on Finnish data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(5), pages 571-584.
    21. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    22. Harvey, Campbell R., 1989. "Time-varying conditional covariances in tests of asset pricing models," Journal of Financial Economics, Elsevier, vol. 24(2), pages 289-317.
    23. Mehmet Dalkir, 2004. "A new approach to causality in the frequency domain," Economics Bulletin, AccessEcon, vol. 3(44), pages 1-14.
    24. Fernandez, Viviana, 2006. "The CAPM and value at risk at different time-scales," International Review of Financial Analysis, Elsevier, vol. 15(3), pages 203-219.
    25. Cohen, Kalman J, et al, 1980. "Implications of Microstructure Theory for Empirical Research on Stock Price Behavior," Journal of Finance, American Finance Association, vol. 35(2), pages 249-257, May.
    26. Garcia, Rene & Ghysels, Eric, 1998. "Structural change and asset pricing in emerging markets," Journal of International Money and Finance, Elsevier, vol. 17(3), pages 455-473, June.
    27. Brailsford, Timothy J. & Faff, Robert W., 1997. "Testing the conditional CAPM and the effect of intervaling: A note," Pacific-Basin Finance Journal, Elsevier, vol. 5(5), pages 527-537, December.
    28. Blume, Marshall E, 1975. "Betas and Their Regression Tendencies," Journal of Finance, American Finance Association, vol. 30(3), pages 785-795, June.
    29. Gençay, Ramazan & Selçuk, Faruk & Whitcher, Brandon, 2001. "Differentiating intraday seasonalities through wavelet multi-scaling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(3), pages 543-556.
    30. Marco GALLEGATI, 2001. "A Wavelet Analysis of MENA stock markets," Middle East and North Africa 330400031, EcoMod.
    31. Ramazan Genay & Faruk Seļuk & Brandon Whitcher, 2003. "Systematic risk and timescales," Quantitative Finance, Taylor & Francis Journals, vol. 3(2), pages 108-116.
    32. Kim, Sangbae & In, Francis, 2005. "The relationship between stock returns and inflation: new evidence from wavelet analysis," Journal of Empirical Finance, Elsevier, vol. 12(3), pages 435-444, June.
    33. Fabozzi, Frank J. & Francis, Jack Clark, 1978. "Beta as a Random Coefficient," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(1), pages 101-116, March.
    34. Ramsey, James B. & Lampart, Camille, 1998. "Decomposition Of Economic Relationships By Timescale Using Wavelets," Macroeconomic Dynamics, Cambridge University Press, vol. 2(1), pages 49-71, March.
    35. Ramsey, J.B., 2002. "Wavelets in Economics and Finance: Past and Future," Working Papers 02-02, C.V. Starr Center for Applied Economics, New York University.
    36. Francis In & Sangbae Kim & Vijaya Marisetty & Robert Faff, 2008. "Analysing the performance of managed funds using the wavelet multiscaling method," Review of Quantitative Finance and Accounting, Springer, vol. 31(1), pages 55-70, July.
    37. Handa, Puneet & Kothari, S P & Wasley, Charles, 1993. "Sensitivity of Multivariate Tests of the Capital Asset-Pricing Model to the Return Measurement Interval," Journal of Finance, American Finance Association, vol. 48(4), pages 1543-1551, September.
    38. Hahn Shik Lee, 2004. "International transmission of stock market movements: a wavelet analysis," Applied Economics Letters, Taylor & Francis Journals, vol. 11(3), pages 197-201.
    39. Gencay, Ramazan & Selcuk, Faruk & Whitcher, Brandon, 2005. "Multiscale systematic risk," Journal of International Money and Finance, Elsevier, vol. 24(1), pages 55-70, February.
    40. Francis In & Sangbae Kim, 2006. "The Hedge Ratio and the Empirical Relationship between the Stock and Futures Markets: A New Approach Using Wavelet Analysis," The Journal of Business, University of Chicago Press, vol. 79(2), pages 799-820, March.
    41. Kim Sangbae & In Francis Haeuck, 2003. "The Relationship Between Financial Variables and Real Economic Activity: Evidence From Spectral and Wavelet Analyses," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 7(4), pages 1-18, December.
    42. Corhay, Albert, 1992. "The intervalling effect bias in beta: A note," Journal of Banking & Finance, Elsevier, vol. 16(1), pages 61-73, February.
    43. Bjornson, Bruce & Hong Shik Kim & Lee, Kiseok, 1999. "Low and high frequency macroeconomic forces in asset pricing," The Quarterly Review of Economics and Finance, Elsevier, vol. 39(1), pages 77-100.
    44. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    45. Hawawini, Gabriel A., 1980. "Intertemporal Cross-Dependence in Securities Daily Returns and the Short-Run Intervaling Effect on Systematic Risk," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(1), pages 139-149, March.
    46. Vasicek, Oldrich A, 1973. "A Note on Using Cross-Sectional Information in Bayesian Estimation of Security Betas," Journal of Finance, American Finance Association, vol. 28(5), pages 1233-1239, December.
    47. Osamah M. Al‐Khazali & David K. Ding & Chong Soo Pyun, 2007. "A New Variance Ratio Test of Random Walk in Emerging Markets: A Revisit," The Financial Review, Eastern Finance Association, vol. 42(2), pages 303-317, May.
    48. Ghosh, Asim K, 1992. "Market Model Corrected for Generalized Autoregressive Conditional Heteroscedasticity and the Small Firm Effect," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 15(3), pages 277-283, Fall.
    49. Asim K. Ghosh, 1992. "Market Model Corrected For Generalized Autoregressive Conditional Heteroscedasticity And The Small Firm Effect," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 15(3), pages 277-283, September.
    50. Kim, Sangbae & In, Francis, 2007. "On the relationship between changes in stock prices and bond yields in the G7 countries: Wavelet analysis," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 17(2), pages 167-179, April.
    51. Ramsey James B., 2002. "Wavelets in Economics and Finance: Past and Future," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(3), pages 1-29, November.
    52. Pogue, Gerald A. & Solnik, Bruno H., 1974. "The Market Model Applied to European Common Stocks: Some Empirical Results," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 9(6), pages 917-944, December.
    53. Blume, Marshall E, 1971. "On the Assessment of Risk," Journal of Finance, American Finance Association, vol. 26(1), pages 1-10, March.
    Full references (including those not matched with items on IDEAS)

    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. Atilla Cifter & Alper Ozun, 2008. "Multiscale Systematic Risk: an Application on the ISE-30," Istanbul Stock Exchange Review, Research and Business Development Department, Borsa Istanbul, vol. 10(38), pages 1-24.
    2. Gencay, Ramazan & Selcuk, Faruk & Whitcher, Brandon, 2005. "Multiscale systematic risk," Journal of International Money and Finance, Elsevier, vol. 24(1), pages 55-70, February.
    3. Rua, António & Nunes, Luis C., 2012. "A wavelet-based assessment of market risk: The emerging markets case," The Quarterly Review of Economics and Finance, Elsevier, vol. 52(1), pages 84-92.
    4. Dewandaru, Ginanjar & Bacha, Obiyathulla Ismath & Masih, A. Mansur M. & Masih, Rumi, 2015. "Risk-return characteristics of Islamic equity indices: Multi-timescales analysis," Journal of Multinational Financial Management, Elsevier, vol. 29(C), pages 115-138.
    5. Xiaojie Xu, 2018. "Causal structure among US corn futures and regional cash prices in the time and frequency domain," Journal of Applied Statistics, Taylor & Francis Journals, vol. 45(13), pages 2455-2480, October.
    6. Ramazan Genay & Faruk Seļuk & Brandon Whitcher, 2003. "Systematic risk and timescales," Quantitative Finance, Taylor & Francis Journals, vol. 3(2), pages 108-116.
    7. Chakrabarty, Anindya & De, Anupam & Gunasekaran, Angappa & Dubey, Rameshwar, 2015. "Investment horizon heterogeneity and wavelet: Overview and further research directions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 45-61.
    8. el Alaoui, Abdelkader O. & Dewandaru, Ginanjar & Azhar Rosly, Saiful & Masih, Mansur, 2015. "Linkages and co-movement between international stock market returns: Case of Dow Jones Islamic Dubai Financial Market index," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 36(C), pages 53-70.
    9. Francis In & Sangbae Kim, 2012. "An Introduction to Wavelet Theory in Finance:A Wavelet Multiscale Approach," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8431, January.
    10. Fernandez, Viviana, 2007. "A postcard from the past: The behavior of U.S. stock markets during 1871–1938," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 267-282.
    11. Chenglu Jin & Thomas Conlon & John Cotter, 2023. "Co-Skewness across Return Horizons," Journal of Financial Econometrics, Oxford University Press, vol. 21(5), pages 1483-1518.
    12. Fernandez, Viviana, 2008. "The war on terror and its impact on the long-term volatility of financial markets," International Review of Financial Analysis, Elsevier, vol. 17(1), pages 1-26.
    13. Brailsford, Timothy J. & Josev, Thomas, 1997. "The impact of the return interval on the estimation of systematic risk," Pacific-Basin Finance Journal, Elsevier, vol. 5(3), pages 357-376, July.
    14. Xiaojie Xu, 2018. "Intraday price information flows between the CSI300 and futures market: an application of wavelet analysis," Empirical Economics, Springer, vol. 54(3), pages 1267-1295, May.
    15. Antonios K. Alexandridis & Mohammad S. Hasan, 2020. "Global financial crisis and multiscale systematic risk: Evidence from selected European stock markets," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 25(4), pages 518-546, October.
    16. Fernandez, Viviana, 2006. "The CAPM and value at risk at different time-scales," International Review of Financial Analysis, Elsevier, vol. 15(3), pages 203-219.
    17. Albert Corhay & Alireza Tourani Rad, 1993. "Return Interval, Firm Size And Systematic Risk On The Dutch Stock Market," Review of Financial Economics, John Wiley & Sons, vol. 2(2), pages 19-28, March.
    18. Corbet, Shaen & Gurdgiev, Constantin & Meegan, Andrew, 2018. "Long-term stock market volatility and the influence of terrorist attacks in Europe," The Quarterly Review of Economics and Finance, Elsevier, vol. 68(C), pages 118-131.
    19. Beer, Francisca Marie, 1997. "Estimation of risk on the Brussels Stock Exchange: Methodological issues and empirical results," Global Finance Journal, Elsevier, vol. 8(1), pages 83-94.
    20. Alzahrani, Mohammed & Masih, Mansur & Al-Titi, Omar, 2014. "Linear and non-linear Granger causality between oil spot and futures prices: A wavelet based test," Journal of International Money and Finance, Elsevier, vol. 48(PA), pages 175-201.

    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:finana:v:19:y:2010:i:1:p:10-18. 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.elsevier.com/locate/inca/620166 .

    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.