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Analysis of the five-factor asset pricing model with wavelet multiscaling approach

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  • Bera, Anil Kumar
  • Uyar, Umut
  • Kangalli Uyar, Sinem Guler

Abstract

We study the relationship between average returns and risk factors through wavelet multiscaling approach which enables us to investigate the risk-return relationship based on different time scales. The data for the period July 1963–February 2018 are gathered from the Kenneth French website. Each time series in the dataset is decomposed into five time scales. In order to make a comparison, the five-factor model is estimated based on both the scale basis and raw data. There are several key implications from our estimation results: i) The effects of risk factors on average returns vary over the time scales by their coefficient magnitudes and statistical significance. ii) Gibbons, Ross, and Shanken (1989) test results show that the intercepts of scale basis models are close to zero. iii) There is a period of unexpectedly higher cash flow for big value portfolios for long-term investments. iv) There is a minimum (maximum) risk level for aggressive (conservative) portfolios at different time horizons. Finally, we identify the risk factors in our five-factor model that have a significant effect on returns, and our model can capture the variations in average returns for different investment horizons.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:quaeco:v:76:y:2020:i:c:p:414-423
    DOI: 10.1016/j.qref.2019.09.014
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    1. Christoph Schleicher, 2002. "An Introduction to Wavelets for Economists," Staff Working Papers 02-3, Bank of Canada.
    2. Fama, Eugene F. & French, Kenneth R., 2017. "International tests of a five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 123(3), pages 441-463.
    3. Guidolin, Massimo & Timmermann, Allan, 2007. "Asset allocation under multivariate regime switching," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3503-3544, November.
    4. repec:bla:jfinan:v:53:y:1998:i:6:p:1839-1885 is not listed on IDEAS
    5. Bera, Anil K & Kannan, Srinivasan, 1986. "An Adjustment Procedure for Predicting Systematic Risk," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(4), pages 317-332, October.
    6. 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.
    7. 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.
    8. Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-1152, September.
    9. Fama, Eugene F & French, Kenneth R, 1996. "Multifactor Explanations of Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 51(1), pages 55-84, March.
    10. Lakonishok, Josef & Shleifer, Andrei & Vishny, Robert W, 1994. "Contrarian Investment, Extrapolation, and Risk," Journal of Finance, American Finance Association, vol. 49(5), pages 1541-1578, December.
    11. Stephen A. Ross, 1976. "Options and Efficiency," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(1), pages 75-89.
    12. Jegadeesh, Narasimhan & Titman, Sheridan, 1993. "Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 48(1), pages 65-91, March.
    13. Novy-Marx, Robert, 2013. "The other side of value: The gross profitability premium," Journal of Financial Economics, Elsevier, vol. 108(1), pages 1-28.
    14. Marco Gallegati & Mauro Gallegati & James B. Ramsey & Willi Semmler, 2014. "Does Productivity Affect Unemployment? A Time-Frequency Analysis for the US," Dynamic Modeling and Econometrics in Economics and Finance, in: Marco Gallegati & Willi Semmler (ed.), Wavelet Applications in Economics and Finance, edition 127, pages 23-46, Springer.
    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. Blume, Marshall E, 1975. "Betas and Their Regression Tendencies," Journal of Finance, American Finance Association, vol. 30(3), pages 785-795, June.
    17. Ramazan Genay & Faruk Seļuk & Brandon Whitcher, 2003. "Systematic risk and timescales," Quantitative Finance, Taylor & Francis Journals, vol. 3(2), pages 108-116.
    18. Roll, Richard, 1977. "A critique of the asset pricing theory's tests Part I: On past and potential testability of the theory," Journal of Financial Economics, Elsevier, vol. 4(2), pages 129-176, March.
    19. Fama, Eugene F. & French, Kenneth R., 1997. "Industry costs of equity," Journal of Financial Economics, Elsevier, vol. 43(2), pages 153-193, February.
    20. Ang, Andrew & Chen, Joseph, 2007. "CAPM over the long run: 1926-2001," Journal of Empirical Finance, Elsevier, vol. 14(1), pages 1-40, January.
    21. Fama, Eugene F. & French, Kenneth R., 2015. "Incremental variables and the investment opportunity set," Journal of Financial Economics, Elsevier, vol. 117(3), pages 470-488.
    22. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    23. 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.
    24. repec:bla:jfinan:v:59:y:2004:i:3:p:1345-1365 is not listed on IDEAS
    25. 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.
    26. Gencay, Ramazan & Selcuk, Faruk & Whitcher, Brandon, 2005. "Multiscale systematic risk," Journal of International Money and Finance, Elsevier, vol. 24(1), pages 55-70, February.
    27. Ramazan Gencay & Nikola Gradojevic & Faruk Selcuk & Brandon Whitcher, 2010. "Asymmetry of information flow between volatilities across time scales," Quantitative Finance, Taylor & Francis Journals, vol. 10(8), pages 895-915.
    28. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    29. Patrick M. Crowley, 2007. "A Guide To Wavelets For Economists," Journal of Economic Surveys, Wiley Blackwell, vol. 21(2), pages 207-267, April.
    30. Titman, Sheridan & Wei, K. C. John & Xie, Feixue, 2004. "Capital Investments and Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(4), pages 677-700, December.
    31. Eugene F. Fama & Kenneth R. French, 2016. "Dissecting Anomalies with a Five-Factor Model," The Review of Financial Studies, Society for Financial Studies, vol. 29(1), pages 69-103.
    32. Gençay, Ramazan & Dacorogna, Michel & Muller, Ulrich A. & Pictet, Olivier & Olsen, Richard, 2001. "An Introduction to High-Frequency Finance," Elsevier Monographs, Elsevier, edition 1, number 9780122796715.
    33. Blume, Marshall E, 1971. "On the Assessment of Risk," Journal of Finance, American Finance Association, vol. 26(1), pages 1-10, March.
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    More about this item

    Keywords

    The five-factor asset pricing model; Investment horizon; Wavelet multiscaling approach; Daubechies least asymmetric wavelet filter; Maximum overlap; Discrete wavelet transform;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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