Python for financial engineers
Mastering four moments in portfolio management
DOI :
https://doi.org/10.23882/emss.24216Mots-clés :
Assets, Investment, Portfolio theory, Python programming, Digital ManagementRésumé
This research conducts a comprehensive analysis aimed at optimizing portfolios comprising 14 stocks listed on the Moroccan stock exchange. Our journey culminates in the construction of portfolios that are meticulously designed to maximize returns while prudently managing risk. These portfolios are the result of an exhaustive Monte Carlo simulation that explored over three million unique portfolio combinations. The simulations take into account the skewness and kurtosis of the return distributions, offering investors a robust framework for decision-making.
We collected historical data for theses 14 stocks on the Moroccan market exchange by accessing 5 years' worth of historical data from investing.com.We explore the concepts of Modern Portfolio Theory (MPT), which forms the backbone of our approach, and we employ the power of mathematics and Python programming to bring forth insights that can inform sound investment decisions.
The primary focus of this study centers on the incorporation of higher statistical moments from the returns of key financial indices, with a particular emphasis on their skewness and kurtosis characteristics. To achieve this goal, various evaluative criteria derived from these statistical parameters are introduced and thoroughly investigated.
Within this research framework, we confront a spectrum of optimization challenges, including the maximization of skewness, and minimization of kurtosis.
Références
Alexander, C. (2008). Market Risk Analysis: Pricing, Hedging and Trading Financial Instruments. Wiley.
Arditti, F. D. (1975). Portfolio Efficiency Analysis with a Three-Moment Objective Function. The Review of Economics and Statistics, 57(4), 534-538.
Bodie, Z. K. (2019). Investments. McGraw-Hill Education.
Chen Chen, Z. Y.-s. (2018). Robust multiobjective portfolio with higher moments. ELSEVIER, 100, 165-181.
Choueifaty, Y., & Coignard, Y. (2008). Toward maximum diversification. The Journal of Portfolio Management, 35(1), 40-51. https://doi.org/10.3905/JPM.2008.35.1.40
Choueifaty, Y. &. (2013). A risk-based model for strategic asset allocation. Journal of Portfolio Management, 40(2), 40-51.
DeFusco, R. A. (2015). Quantitative Investment Analysis. John Wiley & Sons.
Elton, E. J. (2013). Modern Portfolio Theory and Investment Analysis (9th ed.). Wiley.
Fama, E. F., & French, K. R, (2004). The Capital Asset Pricing Model: Theory and Evidence. Journal of Economic Perspectives, 18(3), 25-46. https://doi.org/10.1257/0895330042162430
Gonçalves, G. W. (2022). A higher order portfolio optimization model incorporating information entropy. ELSEVIER, 15.
Hilpisch, Y. (2018). Python for Finance (2nd Edition ed.). O'Reilly Media.
Joanes, D. N., & Gill, C. A. (1998). Comparing Measures of Sample Skewness and Kurtosis. Journal of the Royal Statistical Society: Series D (The Statistician), 47(1), 183-189. https://doi.org/10.1111/1467-9884.00122
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
Ledoit, O., & Wolf, M. (2008). Robust Performance Hypothesis Testing with the Sharpe Ratio. Journal of Empirical Finance, 15(5), 850-859. https://doi.org/10.1016/j.jempfin.2008.03.002
Litterman, R. B. (2003). Modern Investment Management: An Equilibrium Approach. Wiley.
Markowitz, H. M. (1952). Portfolio selection. The Journal of Finance, 7(1), 77-91.
McNeil, A. J. (2015 ). Quantitative Risk Management: Concepts, Techniques and Tools. Princeton University Press.
Prakash, A. J. (2003). Impact of Higher Moments on Asset Allocation Decisions: A Study of Indian Equity Market. Vikalpa: The Journal for Decision Makers, 28(1), 43-52.
Rachev, S. T. (2012). Advanced Stochastic Models, Risk Assessment, and Portfolio Optimization: The Ideal Risk, Uncertainty, and Performance Measures. Wiley.
Rubinstein, R. Y., & Kroese, D. P. (2016). Simulation and the Monte Carlo method. John Wiley & Sons.
Samuelson, P. A. (1970). The Fundamental Approximation Theorem of Portfolio Analysis in Terms of Means, Variances, and Higher Moments. The Review of Economic Studies, 37(4), 537-542.
Singleton, J. &. (1986). Mean and Variance of Random Variables with Restricted Distributions. The Annals of Statistics, 14(1), 176-183.
Sun, L., & Yan. (2003). Portfolio Selection Based on Higher Moments. Quantitative Finance, 3(6), 460-472.
Taleb, N. N. (2007). Black Swan: The Impact of the Highly Improbable. Random House.
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(c) Tous droits réservés Mohamed Amine Chafik, Adda Benslimane, Faouzi Boussedra 2024
Ce travail est disponible sous licence Creative Commons Attribution - Pas d’Utilisation Commerciale 4.0 International.