Optimization of portfolios with cryptocurrencies: Markowitz and GARCH-Copula model approach

Fuente: arXiv
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Auteurs principaux: Jeleskovic, Vahidin, Latini, Claudio, Younas, Zahid I., Al-Faryan, Mamdouh A. S.
Format: Preprint
Publié: 2023
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author Jeleskovic, Vahidin
Latini, Claudio
Younas, Zahid I.
Al-Faryan, Mamdouh A. S.
author_facet Jeleskovic, Vahidin
Latini, Claudio
Younas, Zahid I.
Al-Faryan, Mamdouh A. S.
contents The growing interest in cryptocurrencies has drawn the attention of the financial world to this innovative medium of exchange. This study aims to explore the impact of cryptocurrencies on portfolio performance. We conduct our analysis retrospectively, assessing the performance achieved within a specific time frame by three distinct portfolios: one consisting solely of equities, bonds, and commodities; another composed exclusively of cryptocurrencies; and a third, which combines both 'traditional' assets and the best-performing cryptocurrency from the second portfolio.To achieve this, we employ the classic variance-covariance approach, utilizing the GARCH-Copula and GARCH-Vine Copula methods to calculate the risk structure. The optimal asset weights within the optimized portfolios are determined through the Markowitz optimization problem. Our analysis predominantly reveals that the portfolio comprising both cryptocurrency and traditional assets exhibits a higher Sharpe ratio from a retrospective viewpoint and demonstrates more stable performances from a prospective perspective. We also provide an explanation for our choice of portfolio optimization based on the Markowitz approach rather than CVaR and ES.
format Preprint
id arxiv_https___arxiv_org_abs_2401_00507
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Optimization of portfolios with cryptocurrencies: Markowitz and GARCH-Copula model approach
Jeleskovic, Vahidin
Latini, Claudio
Younas, Zahid I.
Al-Faryan, Mamdouh A. S.
Portfolio Management
Applications
The growing interest in cryptocurrencies has drawn the attention of the financial world to this innovative medium of exchange. This study aims to explore the impact of cryptocurrencies on portfolio performance. We conduct our analysis retrospectively, assessing the performance achieved within a specific time frame by three distinct portfolios: one consisting solely of equities, bonds, and commodities; another composed exclusively of cryptocurrencies; and a third, which combines both 'traditional' assets and the best-performing cryptocurrency from the second portfolio.To achieve this, we employ the classic variance-covariance approach, utilizing the GARCH-Copula and GARCH-Vine Copula methods to calculate the risk structure. The optimal asset weights within the optimized portfolios are determined through the Markowitz optimization problem. Our analysis predominantly reveals that the portfolio comprising both cryptocurrency and traditional assets exhibits a higher Sharpe ratio from a retrospective viewpoint and demonstrates more stable performances from a prospective perspective. We also provide an explanation for our choice of portfolio optimization based on the Markowitz approach rather than CVaR and ES.
title Optimization of portfolios with cryptocurrencies: Markowitz and GARCH-Copula model approach
topic Portfolio Management
Applications
url https://arxiv.org/abs/2401.00507