IDEAS home Printed from https://ideas.repec.org/a/taf/quantf/v3y2003i2p108-116.html
   My bibliography  Save this article

Systematic risk and timescales

Author

Listed:
  • Ramazan Genay
  • Faruk Seļuk
  • Brandon Whitcher

Abstract

In this paper we propose a new approach to estimating the systematic risk (the beta of an asset) in a capital asset pricing model (CAPM). The proposed method is based on a wavelet multiscaling approach that decomposes a given time series on a scale-by-scale basis. At each scale, the wavelet variance of the market return and the wavelet covariance between the market return and a portfolio are calculated to obtain an estimate of the portfolio's beta. The empirical results show that the relationship between the return of a portfolio and its beta becomes stronger as the wavelet scale increases. Therefore, the predictions of the CAPM model are more relevant in the medium long run as compared to short time horizons.

Suggested Citation

  • Ramazan Genay & Faruk Seļuk & Brandon Whitcher, 2003. "Systematic risk and timescales," Quantitative Finance, Taylor & Francis Journals, vol. 3(2), pages 108-116.
    • Handle: RePEc:taf:quantf:v:3:y:2003:i:2:p:108-116
    DOI: 10.1088/1469-7688/3/2/305
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1088/1469-7688/3/2/305
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1088/1469-7688/3/2/305?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. 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. Scholes, Myron & Williams, Joseph, 1977. "Estimating betas from nonsynchronous data," Journal of Financial Economics, Elsevier, vol. 5(3), pages 309-327, December.
    3. 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.
    4. Hawawini, Gabriel, 1983. "Why beta shifts as the return interval changes," MPRA Paper 44893, University Library of Munich, Germany.
    5. Bekaert, Geert & Harvey, Campbell R., 1997. "Emerging equity market volatility," Journal of Financial Economics, Elsevier, vol. 43(1), pages 29-77, January.
    6. 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.
    7. 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.
    8. John Y. Campbell, 2000. "Asset Pricing at the Millennium," Journal of Finance, American Finance Association, vol. 55(4), pages 1515-1567, August.
    9. 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.
    10. Fama, Eugene F, 1990. "Stock Returns, Expected Returns, and Real Activity," Journal of Finance, American Finance Association, vol. 45(4), pages 1089-1108, September.
    11. 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.
    12. 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.
    13. Reinganum, Marc R., 1981. "A New Empirical Perspective on the CAPM," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(4), pages 439-462, November.
    14. 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.
    15. 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.
    16. Bekaert, Geert & Harvey, Campbell R, 1995. "Time-Varying World Market Integration," Journal of Finance, American Finance Association, vol. 50(2), pages 403-444, June.
    17. 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.
    18. 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.
    19. 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.
    20. Black, Fischer, 1972. "Capital Market Equilibrium with Restricted Borrowing," The Journal of Business, University of Chicago Press, vol. 45(3), pages 444-455, July.
    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. Gencay, Ramazan & Selcuk, Faruk & Whitcher, Brandon, 2005. "Multiscale systematic risk," Journal of International Money and Finance, Elsevier, vol. 24(1), pages 55-70, February.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Aasif Shah & Arif Tali & Qaiser Farooq, 2018. "Beta through the prism of wavelets," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 4(1), pages 1-17, December.
    7. Alfred Mbairadjim Moussa & Jules Sadefo Kamdem, 2022. "A fuzzy multifactor asset pricing model," Annals of Operations Research, Springer, vol. 313(2), pages 1221-1241, June.
    8. 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.
    9. 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.
    10. Kang, Byoung Uk & In, Francis & Kim, Tong Suk, 2017. "Timescale betas and the cross section of equity returns: Framework, application, and implications for interpreting the Fama–French factors," Journal of Empirical Finance, Elsevier, vol. 42(C), pages 15-39.
    11. Dahlquist, Magnus & Sallstrom, Torbjorn, 2002. "An Evaluation of International Asset Pricing Models," CEPR Discussion Papers 3145, C.E.P.R. Discussion Papers.
    12. Juliana Malagon & David Moreno & Rosa Rodr�guez, 2015. "Time horizon trading and the idiosyncratic risk puzzle," Quantitative Finance, Taylor & Francis Journals, vol. 15(2), pages 327-343, February.
    13. Bera, Anil Kumar & Uyar, Umut & Kangalli Uyar, Sinem Guler, 2020. "Analysis of the five-factor asset pricing model with wavelet multiscaling approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 76(C), pages 414-423.
    14. Turan G. Bali & Robert F. Engle & Yi Tang, 2017. "Dynamic Conditional Beta Is Alive and Well in the Cross Section of Daily Stock Returns," Management Science, INFORMS, vol. 63(11), pages 3760-3779, November.
    15. Semenov, Andrei, 2021. "Measuring the stock's factor beta and identifying risk factors under market inefficiency," The Quarterly Review of Economics and Finance, Elsevier, vol. 80(C), pages 635-649.
    16. De Santis, Giorgio & imrohoroglu, Selahattin, 1997. "Stock returns and volatility in emerging financial markets," Journal of International Money and Finance, Elsevier, vol. 16(4), pages 561-579, August.
    17. Wayne E. Ferson & Campbell R. Harvey, 1999. "Conditioning Variables and the Cross Section of Stock Returns," Journal of Finance, American Finance Association, vol. 54(4), pages 1325-1360, August.
    18. 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.
    19. Perron, Pierre & Chun, Sungju & Vodounou, Cosme, 2013. "Sampling interval and estimated betas: Implications for the presence of transitory components in stock prices," Journal of Empirical Finance, Elsevier, vol. 20(C), pages 42-62.
    20. Georgios Mantsios & Stylianos Xanthopoulos, 2016. "The Beta intervalling effect during a deep economic crisis - evidence from Greece," International Journal of Business and Economic Sciences Applied Research (IJBESAR), International Hellenic University (IHU), Kavala Campus, Greece (formerly Eastern Macedonia and Thrace Institute of Technology - EMaTTech), vol. 9(1), pages 19-26, April.

    More about this item

    Statistics

    Access and download statistics

    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:taf:quantf:v:3:y:2003:i:2:p:108-116. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RQUF20 .

    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.