A Portfolio Study Based on the Markowitz Model - An Example of the Bitcoin Market
DOI:
https://doi.org/10.54097/gc71m990Keywords:
Markowitz model; portfolio; bitcoin.Abstract
Nowadays, financial markets are becoming more and more complex, and new portfolios need to be built to cope with them. This paper aims to build a Markowitz model for portfolio research based on new calibrations for nine different industries. Firstly, the weights and minimum variance combinations are calculated by using valid information such as mean, standard deviation, variance, and covariance. Second, this paper aims to maximize the return of the portfolio, diversify the investment risk of the selected portfolio, and finally determine the optimal portfolio. The portfolio can be adjusted to reduce risk or increase return by adjusting the percentage of Bitcoin. This paper further explores the portfolio using Bitcoin as a variable. This paper derives the volatility and return of the least risky portfolio to be 11.04% and -0.46%, respectively, when the portfolio is calibrated without Bitcoin, and the volatility and return of its Sharpe optimal portfolio are 14.61% and 7.11%, respectively. When the portfolio contains Bitcoin, the volatility and return of its risk-minimal portfolio are 9.45% and 0.6%, respectively, and the volatility and return of its Sharpe-optimal portfolio are 16.31% and 37.35%, respectively. Ultimately, it is concluded that Bitcoin has some risk-reducing and return-enhancing effects.
Downloads
References
[1] Ahti S, Michalis D, Juuso L, Fifty years of portfolio optimization, European Journal of Operational Research, Volume 318, Issue 1, 2024, Pages 1-18, ISSN 0377-2217. DOI: https://doi.org/10.1016/j.ejor.2023.12.031
[2] Tian M. Mean-variance modeling theory and its application in China's stock market. Wealth Times, 2022(1): 148-150.Jobson, J.D.; Korkie, R.M. Putting Markowitz Theory to Work. J. Portf. Manag. 1981, 7, 70–74.
[3] Markowitz, H. Portfolio Selection. In Harry Markowitz: Selected Works; World Scientific Publishing Co.: Singapore, 2009. DOI: https://doi.org/10.1142/9789812833655
[4] Bitcoin: A Peer-to-Peer Electronic Cash System.Social Science Electronic Publishing[2024-09-29].
[5] Vule Mizdrakovic, Maja Kljajic, Miodrag Zivkovic, Nebojsa Bacanin, Luka Jovanovic, Muhammet Deveci, Witold Pedrycz,Forecasting bitcoin: Decomposition aided long short-term memory based time series modeling and its explanation with Shapley values,Knowledge-Based Systems,Volume 299,2024,112026,ISSN 0950-7051. DOI: https://doi.org/10.1016/j.knosys.2024.112026
[6] Elie B, Brian L, David R,Cryptocurrencies and the downside risk in equity investments,Finance Research Letters,Volume 33,2020,101211,ISSN 1544-6123. DOI: https://doi.org/10.1016/j.frl.2019.06.009
[7] Kedi L. Markowitz's theory of constructing investment portfolios . Modern Business, 2018(36): 44-45.
[8] Newman M E J & Barkema G T Monte Carlo Methods in Statistical Physics (1999) (Oxford University Press). DOI: https://doi.org/10.1093/oso/9780198517962.001.0001
[9] Walter, J.C, Barkema G.T. ,An introduction to Monte Carlo methods,Physica A: Statistical Mechanics and its Applications,Volume 418,2015,Pages 78-87,ISSN 0378-4371. DOI: https://doi.org/10.1016/j.physa.2014.06.014
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Highlights in Business, Economics and Management

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.






