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Robust analysis for downside risk in portfolio management for a volatile stock market

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  • Ayub, Usman
  • Shah, Syed Zulfiqar Ali
  • Abbas, Qaisar

Abstract

Variance and downside risk are different proxies of risk in portfolio management. This study tests mean–variance and downside risk frameworks in relation to portfolio management. The sample is a highly volatile market; Karachi Stock Exchange, Pakistan. Factors affecting portfolio optimization like appropriate portfolio size, portfolio sorting procedure, butterfly effect on the choice of appropriate algorithms and endogeneity problem are discussed and solutions to them are incorporated to make the study robust. Results show that downside risk framework performs better than Markowitz mean–variance framework. Moreover, this difference is significant when the asset returns are more skewed. Results suggest the use of downside risk in place of variance as a measure of risk for investment decisions.

Suggested Citation

  • Ayub, Usman & Shah, Syed Zulfiqar Ali & Abbas, Qaisar, 2015. "Robust analysis for downside risk in portfolio management for a volatile stock market," Economic Modelling, Elsevier, vol. 44(C), pages 86-96.
  • Handle: RePEc:eee:ecmode:v:44:y:2015:i:c:p:86-96
    DOI: 10.1016/j.econmod.2014.10.001
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    as
    1. Estrada, Javier, 2002. "Systematic risk in emerging markets: the," Emerging Markets Review, Elsevier, vol. 3(4), pages 365-379, December.
    2. 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.
    3. 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.
    4. Zhou, Guofu, 1993. "Asset-Pricing Tests under Alternative Distributions," Journal of Finance, American Finance Association, vol. 48(5), pages 1927-1942, December.
    5. Michael C. Jensen, 1968. "The Performance Of Mutual Funds In The Period 1945–1964," Journal of Finance, American Finance Association, vol. 23(2), pages 389-416, May.
    6. John Y. Campbell & Martin Lettau & Burton G. Malkiel & Yexiao Xu, 2001. "Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk," Journal of Finance, American Finance Association, vol. 56(1), pages 1-43, February.
    7. Fama, Eugene F., 1998. "Market efficiency, long-term returns, and behavioral finance," Journal of Financial Economics, Elsevier, vol. 49(3), pages 283-306, September.
    8. Fishburn, Peter C, 1977. "Mean-Risk Analysis with Risk Associated with Below-Target Returns," American Economic Review, American Economic Association, vol. 67(2), pages 116-126, March.
    9. John L. Evans & Stephen H. Archer, 1968. "Diversification And The Reduction Of Dispersion: An Empirical Analysis," Journal of Finance, American Finance Association, vol. 23(5), pages 761-767, December.
    10. Jean‐Marie Dufour & Lynda Khalaf & Marie‐Claude Beaulieu, 2003. "Exact Skewness–Kurtosis Tests for Multivariate Normality and Goodness‐of‐Fit in Multivariate Regressions with Application to Asset Pricing Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(s1), pages 891-906, December.
    11. Roll, Richard, 1981. "A Possible Explanation of the Small Firm Effect," Journal of Finance, American Finance Association, vol. 36(4), pages 879-888, September.
    12. Nawrocki, David N, 1996. "Market Dependence and Economic Events," The Financial Review, Eastern Finance Association, vol. 31(2), pages 287-312, May.
    13. Eric Jondeau & Michael Rockinger, 2006. "Optimal Portfolio Allocation under Higher Moments," European Financial Management, European Financial Management Association, vol. 12(1), pages 29-55, January.
    14. Post, G.T. & van Vliet, P., 2004. "Conditional Downside Risk and the CAPM," ERIM Report Series Research in Management ERS-2004-048-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    15. Andrew Ang & Joseph Chen & Yuhang Xing, 2006. "Downside Risk," The Review of Financial Studies, Society for Financial Studies, vol. 19(4), pages 1191-1239.
      • Andrew Ang & Joseph Chen & Yuhang Xing, 2005. "Downside risk," Proceedings, Board of Governors of the Federal Reserve System (U.S.).
    16. Kroencke, Tim Alexander & Schindler, Felix, 2010. "Downside risk optimization in securitized real estate markets," ZEW Discussion Papers 10-034, ZEW - Leibniz Centre for European Economic Research.
    17. Sévi, Benoît, 2013. "An empirical analysis of the downside risk-return trade-off at daily frequency," Economic Modelling, Elsevier, vol. 31(C), pages 189-197.
    18. Tim‐Alexander Kroencke & Felix Schindler, 2010. "Downside risk optimization in securitized real estate markets," Journal of Property Investment & Finance, Emerald Group Publishing Limited, vol. 28(6), pages 434-453, September.
    19. Cumova, Denisa & Nawrocki, David, 2011. "A symmetric LPM model for heuristic mean-semivariance analysis," Journal of Economics and Business, Elsevier, vol. 63(3), pages 217-236, May.
    20. Bekaert, Geert & Harvey, Campbell R., 1997. "Emerging equity market volatility," Journal of Financial Economics, Elsevier, vol. 43(1), pages 29-77, January.
    21. repec:bla:jfinan:v:59:y:2004:i:3:p:1039-1082 is not listed on IDEAS
    22. Elton, Edwin J & Gruber, Martin J, 1977. "Risk Reduction and Portfolio Size: An Analytical Solution," The Journal of Business, University of Chicago Press, vol. 50(4), pages 415-437, October.
    23. Statman, Meir, 1987. "How Many Stocks Make a Diversified Portfolio?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(3), pages 353-363, September.
    24. Attiya Y. Javid & Eatzaz Ahmad, 2008. "Test of Multi-moment Capital Asset Pricing Model: Evidence from Karachi Stock Exchange," PIDE-Working Papers 2008:49, Pakistan Institute of Development Economics.
    25. Sofia B. Ramos & Jeroen K. Vermunt & José G. Dias, 2011. "When markets fall down: are emerging markets all the same?," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 16(4), pages 324-338, October.
    26. de Athayde, Gustavo M. & Flores, Renato Jr., 2004. "Finding a maximum skewness portfolio--a general solution to three-moments portfolio choice," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1335-1352, April.
    27. 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..
    28. Hogan, William W. & Warren, James M., 1972. "Computation of the Efficient Boundary in the E-S Portfolio Selection Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(4), pages 1881-1896, September.
    29. De Bondt, Werner F M & Thaler, Richard H, 1987. "Further Evidence on Investor Overreaction and Stock Market Seasonalit y," Journal of Finance, American Finance Association, vol. 42(3), pages 557-581, July.
    30. Bawa, Vijay S., 1975. "Optimal rules for ordering uncertain prospects," Journal of Financial Economics, Elsevier, vol. 2(1), pages 95-121, March.
    31. Sadka, Ronnie, 2006. "Momentum and post-earnings-announcement drift anomalies: The role of liquidity risk," Journal of Financial Economics, Elsevier, vol. 80(2), pages 309-349, May.
    32. Javed Iqbal & Robert Brooks & Don U.A. Galagedera, 2008. "Multivariate tests of asset pricing: Simulation evidence from an emerging market," Monash Econometrics and Business Statistics Working Papers 2/08, Monash University, Department of Econometrics and Business Statistics.
    33. 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.
    34. Devinaga Rasiah, 2012. "Post-modern portfolio theory supports diversification in an investment portfolioto measure investment’s performance," Journal of Finance and Investment Analysis, SCIENPRESS Ltd, vol. 1(1), pages 1-3.
    35. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    36. Bawa, Vijay S. & Lindenberg, Eric B., 1977. "Abstract: Capital Market Equilibrium in a Mean-Lower Partial Moment Framework," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 635-635, November.
    37. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    38. Shanken, Jay, 1982. "The Arbitrage Pricing Theory: Is It Testable?," Journal of Finance, American Finance Association, vol. 37(5), pages 1129-1140, December.
    39. Estrada, Javier, 2007. "Mean-semivariance behavior: Downside risk and capital asset pricing," International Review of Economics & Finance, Elsevier, vol. 16(2), pages 169-185.
    40. Daniel, Kent & Titman, Sheridan, 1997. "Evidence on the Characteristics of Cross Sectional Variation in Stock Returns," Journal of Finance, American Finance Association, vol. 52(1), pages 1-33, March.
    41. Felix Schindler, 2009. "Correlation structure of real estate markets over time," Journal of Property Investment & Finance, Emerald Group Publishing Limited, vol. 27(6), pages 579-592, September.
    42. 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.
    43. repec:bla:jfinan:v:59:y:2004:i:2:p:831-868 is not listed on IDEAS
    44. Bawa, Vijay S. & Lindenberg, Eric B., 1977. "Capital market equilibrium in a mean-lower partial moment framework," Journal of Financial Economics, Elsevier, vol. 5(2), pages 189-200, November.
    45. 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.
    46. Ang, James S. & Chua, Jess H., 1979. "Composite Measures for the Evaluation of Investment Performance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(2), pages 361-384, June.
    47. 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.
    48. Joseph A. Atwood & Myles J. Watts & Glenn A. Helmers, 1988. "Chance-Constrained Financing as a Response to Financial Risk," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 70(1), pages 79-89.
    49. Haque, Mahfuzul & Kabir Hassan, M. & Varela, Oscar, 2004. "Safety-first portfolio optimization for US investors in emerging global, Asian and Latin American markets," Pacific-Basin Finance Journal, Elsevier, vol. 12(1), pages 91-116, January.
    50. Peter Byrne & Stephen Lee, 2000. "Risk reduction in the United Kingdom property market," Journal of Property Research, Taylor & Francis Journals, vol. 17(1), pages 23-46, January.
    51. 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.
    52. Frahm, Gabriel & Wiechers, Christof, 2011. "On the diversification of portfolios of risky assets," Discussion Papers in Econometrics and Statistics 2/11, University of Cologne, Institute of Econometrics and Statistics.
    53. Narasimhan Jegadeesh & Sheridan Titman, 2001. "Profitability of Momentum Strategies: An Evaluation of Alternative Explanations," Journal of Finance, American Finance Association, vol. 56(2), pages 699-720, April.
    54. Campbell Harvey & John Liechty & Merrill Liechty & Peter Muller, 2010. "Portfolio selection with higher moments," Quantitative Finance, Taylor & Francis Journals, vol. 10(5), pages 469-485.
    55. Attiya Y. Javid & Eatzaz Ahmad, 2008. "The Conditional Capital Asset Pricing Model: Evidence from Karachi Stock Exchange," PIDE-Working Papers 2008:48, Pakistan Institute of Development Economics.
    56. Ang, James S., 1975. "A Note on the E, SL Portfolio Selection Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 10(5), pages 849-857, December.
    57. 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.
    58. 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.
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