Does Markowitz’s Mean–Variance Model Matter During Turmoil Periods? Lessons from the COVID Crisis
DOI:
https://doi.org/10.17010/ijf/2024/v18i1/171339Keywords:
asset allocation
, data envelopment analysis, shortage function, COVID-19JEL Classification Codes
, C67, G11, G15Paper Submission Date
, October 25, 2022, Paper sent back for Revision, August 25, 2023, Paper Acceptance Date, November 16, Paper Published Online, January 15, 2024Abstract
Purpose : This paper examined the effects of higher-order moments on the performance of optimal portfolios during the crisis period of the COVID-19 pandemic.
Design/Methodology/Approach : This paper employed the nonparametric model of data envelopment analysis (DEA) to assess performance using the shortage function as the measure of performance. Three higher-order moment parameters were included in the model: skewness and kurtosis.
Findings : The results showed that in contrast to the traditional mean–variance selection model, the measures of skewness and kurtosis did not lead to better performance during the COVID-19 pandemic despite the substantial departure from normalcy in asset returns. Additionally, the results showed that the sector rankings aligned with investor expectations regarding the economic activity sectors in high demand or less demand during the pandemic period in the American, French, and Moroccan markets.
Practical Implications : The study’s conclusions suggested that, rather than considering higher-order moments, investors and portfolio managers would find it advantageous to concentrate their investing strategy on return and risk considerations during an unexpected market crisis. It didn’t seem that taking skewness and kurtosis measurements into account enhanced portfolio performance.
Originality/Value : This study filled a knowledge vacuum in the literature about portfolio selection and generating asset returns, particularly during market crashes. It offered insightful information about the relationship between the higher-order moment allocation method and other factors.
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Aloui, D., Goutte, S., Guesmi, K., & Hchaichi, R. (2020). COVID-19's impact on crude oil and natural gas S&P GS indexes. Available at SSRN. https://doi.org/10.2139/ssrn.3587740
Briec, W., & Kerstens, K. (2010). Portfolio selection in multidimensional general and partial moment space. Journal of Economic Dynamics and Control, 34(4), 636–656. https://doi.org/10.1016/j.jedc.2009.11.001
Campbell, J. Y., Lo, A. W., & MacKinlay, A. C. (1997). The econometrics of financial markets. Dans Princeton University Press eBooks. https://doi.org/10.1515/9781400830213
Conlon, T., Corbet, S., & McGee, R. (2020). Are cryptocurrencies a safe haven for equity markets? An international perspective from the COVID-19 pandemic. Research in International Business and Finance, 54, 101248. https://doi.org/10.1016/j.ribaf.2020.101248
Delis, M. D., Savva, C. S., & Theodossiou, P. (2020). The impact of the Coronavirus crisis on the market price of risk. Available at SSRN. https://doi.org/10.2139/ssrn.3618827
Dey, K., & Brown, A. (2021). Indian stock market's response in five - phases to the COVID-19 pandemic. Indian Journal of Research in Capital Markets, 8(1–2), 26–45. https://doi.org/10.17010/10.17010/ijrcm/2021/v8i1-2/160230
Filipe, J. A. (2020). Epidemics and pandemics: Covid-19 and the ''Drop of Honey Effect''. International Journal of Economics and Business Administration, 8(2), 240–249. https://doi.org/10.35808/ijeba/456
Goodell, J. W., & Huynh, T. L. D. (2020). Did Congress trade ahead? Considering the reaction of US industries to COVID-19. Finance Research Letters, 36, 101578. https://doi.org/10.1016/j.frl.2020.101578
Hung, C.-H., D., Azad, A. S, & Fang, V. (2014). Determinants of stock returns: Factors or systematic co-moments? Crisis versus non-crisis periods. Journal of International Financial Markets, Institutions and Money, 31, 14–29. https://doi.org/10.1016/j.intfin.2014.03.005
Jhaveri, C. A., Sood, G., & Shah, R. (2021). Efficiency assessment of Indian textile units using data envelopment and regression analysis. Indian Journal of Finance, 15(5–7), 9–25. https://doi.org/10.17010/ijf/2021/v15i5-7/164490
Kaur Makkar, M., Ghayas, A., & Gupta, N. (2023). Performance of conventional and sustainable index in pre and during the COVID-19 pandemic : A comparative analysis. Indian Journal of Finance, 17(5), 39–52. https://doi.org/10.17010/ijf/2023/v17i5/172736
Kerstens, K., Mounir, A., & Van de Woestyne, I. (2011a). Geometric representation of the mean–variance–skewness portfolio frontier based upon the shortage function. European Journal of Operational Research, 210(1), 81–94. https://doi.org/10.1016/j.ejor.2010.09.014
Kerstens, K., Mounir, A., & Van de Woestyne, I. (2011b). Non-parametric frontier estimates of mutual fund performance using C- and L-moments: Some specification tests. Journal of Banking & Finance, 35(5), 1190–1201. https://doi.org/10.1016/j.jbankfin.2010.09.030
Kraus, A., & Litzenberger, R. H. (1976). Skewness preference and the valuation of risk assets. The Journal of Finance, 31(4), 1085–1100. https://doi.org/10.2307/2326275
Mandelbrot, B. (1963). The variation of certain speculative prices. The Journal of Business, 36(4), 394–419. https://doi.org/10.1086/294632
Mangala Minutha, V., & Jagannathan, U. K. (2022). A study on the impact of COVID - 19 on alternative investment funds in India. Indian Journal of Research in Capital Markets, 9(2–3), 42–53. https://doi.org/10.17010/ijrcm/2022/v9i2-3/172551
Markowitz, H. (1952). Portfolio selection. The Journal of Finance, 7(1), 77–91. https://doi.org/10.1111/j.1540-6261.1952.tb01525.x
Mohania, S., & Mainrai, G. (2020). The COVID-19 pandemic and its impact on the banking industry – A case of National Bank Ltd. Indian Journal of Finance, 14(8–9), 80–89. https://doi.org/10.17010/ijf/2020/v14i8-9/154950
Mounir, A. (2021). Prudence and temperance in portfolio selection with shariah-compliant investments. International Journal of Islamic and Middle Eastern Finance and Management, 14(4), 753–766. https://doi.org/10.1108/imefm-07-2019-0292
Naveen, S., & Mallikarjunappa, T. (2021). Performance of mutual funds amidst COVID 19 - A study on selected equity diversified categories in India. Indian Journal of Research in Capital Markets, 8(4), 8–22. https://doi.org/10.17010/ijrcm/2021/v8i4/168583
Nekhili, R., & Bouri, E. (2023). Higher-order moments and co-moments' contribution to spillover analysis and portfolio risk management. Energy Economics, 119, 106596. https://doi.org/10.1016/j.eneco.2023.106596
Soni, T. K. (2023). ESG score and mutual fund performance : Empirical evidence from India. Indian Journal of Finance, 17(3), 37–49. https://doi.org/10.17010/ijf/2023/v17i3/172671
Syed, A. A., Tripathi, R., & Deewan, J. (2021). Investigating the impact of the first and second waves of the COVID-19 pandemic on the Indian stock and commodity markets : An ARDL analysis of gold, oil, and stock market prices. Indian Journal of Finance, 15(12), 8–21. https://doi.org/10.17010/ijf/2021/v15i12/167306