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Higher Co-Moments and Downside Beta in Asset Pricing

Author

Listed:
  • Imran Umer Chhapra

    (Shaheed Zulfikar Ali Bhutto Institute of Science and Technology (SZABIST), Karachi, Sindh 75600, Pakistan)

  • Muhammad Kashif

    (Shaheed Zulfikar Ali Bhutto Institute of Science and Technology (SZABIST), Karachi, Sindh 75600, Pakistan)

Abstract

The Capital Asset Pricing Model (CAPM) assumes a linear relationship between an assetís return and financial market. However, empirical invalidity of linearity of returns has given birth to other CAPM models. Therefore, this study aims to examine the implication of preference by a risk-averse investor for higher moments and downside risk as investors are assumed to be prudent, temperate and cautious and prefer firms with negative co-skewness, positive co-kurtosis, and downside risk as they yield higher risk premium. To empirically test these theoretical assumptions data of all 901 firms (listed and delisted) in Pakistan Stock Exchange (PSX) from 2000 to 2016 have been used. Decile portfolios are constructed for cross-sectional and time series analysis. Generalized Method of Moments (GMM) and Wald Test are applied to check the robustness of results. The results indicate that co-skewness, co-kurtosis and downside beta are important risk factors but only downside beta is genuinely priced over and above what co-variance risk can explain and CAPM does not significantly capture market risk premium indicating the existence of other risk measures in PSX. The findings can help investors in formulating investment strategies for constructing well-diversified and efficient portfolios and can enable firm managers to take appropriate capital budgeting decisions by appropriately costing equities.

Suggested Citation

  • Imran Umer Chhapra & Muhammad Kashif, 2019. "Higher Co-Moments and Downside Beta in Asset Pricing," Asian Academy of Management Journal of Accounting and Finance (AAMJAF), Penerbit Universiti Sains Malaysia, vol. 15(1), pages 129-155.
  • Handle: RePEc:usm:journl:aamjaf01501_129-155
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    References listed on IDEAS

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    1. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-131, February.
    2. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
    3. Chunhachinda, Pornchai & Dandapani, Krishnan & Hamid, Shahid & Prakash, Arun J., 1997. "Portfolio selection and skewness: Evidence from international stock markets," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 143-167, February.
    4. Peter Tufano, 2008. "Saving whilst Gambling: An Empirical Analysis of UK Premium Bonds," American Economic Review, American Economic Association, vol. 98(2), pages 321-326, May.
    5. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    6. Amit Goyal, 2012. "Empirical cross-sectional asset pricing: a survey," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 26(1), pages 3-38, March.
    7. Attiya Y. Javid & Eatzaz Ahmad, 2011. "Asset Pricing Behaviour with Dual-Beta in Case of Pakistani Stock Market," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 50(2), pages 95-118.
    8. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    9. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    10. 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.
    11. Don Galagedera & Elizabeth Maharaj & Robert Brooks, 2008. "Relationship between downside risk and return: new evidence through a multiscaling approach," Applied Financial Economics, Taylor & Francis Journals, vol. 18(20), pages 1623-1633.
    12. Barone-Adesi, Giovanni, 1985. "Arbitrage Equilibrium with Skewed Asset Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 20(3), pages 299-313, September.
    13. Christie-David, Rohan & Chaudhry, Mukesh, 2001. "Coskewness and cokurtosis in futures markets," Journal of Empirical Finance, Elsevier, vol. 8(1), pages 55-81, March.
    14. Harlow, W. V. & Rao, Ramesh K. S., 1989. "Asset Pricing in a Generalized Mean-Lower Partial Moment Framework: Theory and Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(3), pages 285-311, September.
    15. James P. Quirk & Rubin Saposnik, 1962. "Admissibility and Measurable Utility Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(2), pages 140-146.
    16. Grootveld, Henk & Hallerbach, Winfried, 1999. "Variance vs downside risk: Is there really that much difference?," European Journal of Operational Research, Elsevier, vol. 114(2), pages 304-319, April.
    17. Don U A Galagedera & Asmah M Jaapar, 2009. "Modeling Time-Varying Downside Risk," The IUP Journal of Financial Economics, IUP Publications, vol. 0(1), pages 36-51, March.
    18. Eugene F. Fama & Kenneth R. French, 2004. "The Capital Asset Pricing Model: Theory and Evidence," Journal of Economic Perspectives, American Economic Association, vol. 18(3), pages 25-46, Summer.
    19. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-1123, September.
    20. Collins, Robert A. & Gbur, Edward E., 1991. "Borrowing Behavior Of The Proprietary Firm: Do Some Risk-Averse Expected Utility Maximizers Plunge?," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 16(2), pages 1-8, December.
    21. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, June.
    22. Taufiq Choudhry & Hao Wu, 2009. "Forecasting the weekly time-varying beta of UK firms: GARCH models vs. Kalman filter method," The European Journal of Finance, Taylor & Francis Journals, vol. 15(4), pages 437-444.
    23. Black, Fischer, 1972. "Capital Market Equilibrium with Restricted Borrowing," The Journal of Business, University of Chicago Press, vol. 45(3), pages 444-455, July.
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    2. Rutkowska – Ziarko, Anna & Markowski, Lesław & Abdou, Hussein A., 2024. "Conditional CAPM relationships in standard and accounting risk approaches," The North American Journal of Economics and Finance, Elsevier, vol. 72(C).

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