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Related papers: Modern Portfolio Theory in the Crypto-Wilderness

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The fundamental principle in Modern Portfolio Theory (MPT) is based on the quantification of the portfolio's risk related to performance. Although MPT has made huge impacts on the investment world and prompted the success and prevalence of…

Portfolio Management · Quantitative Finance 2021-02-15 Shi Yu , Haoran Wang , Chaosheng Dong

Modern portfolio theory(MPT) addresses the problem of determining the optimum allocation of investment resources among a set of candidate assets. In the original mean-variance approach of Markowitz, volatility is taken as a proxy for risk,…

Statistical Mechanics · Physics 2009-11-07 Morrel H. Cohen , Vincent D. Natoli

The limitations of the traditional mean-variance (MV) efficient frontier, as introduced by Markowitz (1952), have been extensively documented in the literature. Specifically, the assumptions of normally distributed returns or quadratic…

Theoretical Economics · Economics 2025-09-23 Jinghui Chen , Edward Furman , Stephano Ricci , Judeto Shanthirajah

Classical mean-variance portfolio theory tells us how to construct a portfolio of assets which has the greatest expected return for a given level of return volatility. Utility theory then allows an investor to choose the point along this…

Portfolio Management · Quantitative Finance 2009-09-21 Alex Dannenberg

Traditional approaches to financial asset allocation start with returns forecasting followed by an optimization stage that decides the optimal asset weights. Any errors made during the forecasting step reduce the accuracy of the asset…

Portfolio Management · Quantitative Finance 2022-06-08 Damian Kisiel , Denise Gorse

The rapid growth of crypto markets has opened new opportunities for investors, but at the same time exposed them to high volatility. To address the challenge of managing dynamic portfolios in such an environment, this paper presents a…

Portfolio Management · Quantitative Finance 2025-07-29 Antonino Castelli , Paolo Giudici , Alessandro Piergallini

A cryptocurrency is a digital asset maintained by a decentralised system using cryptography. Investors in this emerging digital market are exploring the profitability potential of portfolios in place of single coins. Portfolios are…

Physics and Society · Physics 2023-04-06 Ruixue Jing , Luis Enrique Correa Rocha

Despite being described as a medium of exchange, cryptocurrencies do not have the typical attributes of a medium of exchange. Consequently, cryptocurrencies are more appropriately described as crypto assets. A common investment attribute…

Risk Management · Quantitative Finance 2021-11-15 Yuan Hu , Svetlozar T. Rachev , Frank J. Fabozzi

With the good development in the financial industry, the market starts to catch people's eyes, not only by the diversified investing choices ranging from bonds and stocks to futures and options but also by the general "high-risk,…

General Finance · Quantitative Finance 2020-07-03 Qingyin Ge , Yunuo Ma , Yuezhi Liao , Rongyu Li , Tianle Zhu

The paper solves the problem of optimal portfolio choice when the parameters of the asset returns distribution, like the mean vector and the covariance matrix are unknown and have to be estimated by using historical data of the asset…

Statistical Finance · Quantitative Finance 2023-04-19 David Bauder , Taras Bodnar , Nestor Parolya , Wolfgang Schmid

We propose a novel method to improve estimation of asset returns for portfolio optimization. This approach first performs a monthly directional market forecast using an online decision tree. The decision tree is trained on a novel set of…

Portfolio Management · Quantitative Finance 2026-04-07 Nolan Alexander , William Scherer

This paper will propose a novel machine learning based portfolio management method in the context of the cryptocurrency market. Previous researchers mainly focus on the prediction of the movement for specific cryptocurrency such as the…

Machine Learning · Computer Science 2025-12-10 Zijiang Yang

Finding an optimal balance between risk and returns in investment portfolios is a central challenge in quantitative finance, often addressed through Markowitz portfolio theory (MPT). While traditional portfolio optimization is carried out…

Portfolio Management · Quantitative Finance 2024-04-18 Francesco Catalano , Laura Nasello , Daniel Guterding

We study the design of portfolios under a minimum risk criterion. The performance of the optimized portfolio relies on the accuracy of the estimated covariance matrix of the portfolio asset returns. For large portfolios, the number of…

Portfolio Management · Quantitative Finance 2016-01-20 Liusha Yang , Romain Couillet , Matthew R. McKay

The standard approach for constructing a Mean-Variance portfolio involves estimating parameters for the model using collected samples. However, since the distribution of future data may not resemble that of the training set, the…

Mathematical Finance · Quantitative Finance 2025-03-12 Duy Khanh Lam

Extreme volatility, nonlinear dependencies, and systemic fragility are characteristics of cryptocurrency markets. The assumptions of normality and centralized control in traditional financial risk models frequently cause them to miss these…

Risk Management · Quantitative Finance 2025-07-15 Kiarash Firouzi

We consider the problem of finding the efficient frontier associated with the risk-return portfolio optimization model. We derive the analytical expression of the efficient frontier for a portfolio of N risky assets, and for the case when a…

Portfolio Management · Quantitative Finance 2013-11-12 M. Andrecut

This paper explores the practical approach to portfolio selection methods for investments. The study delves into portfolio theory, discussing concepts such as expected return, variance, asset correlation, and opportunity sets. It also…

Portfolio Management · Quantitative Finance 2024-10-16 Carlos Minutti-Martinez

This study investigates three central questions in portfolio optimization. First, whether time-varying moment estimators outperform conventional sample estimators in practical portfolio construction. Second, whether incorporating a turnover…

Portfolio Management · Quantitative Finance 2025-12-01 Heming Chen , Xiaojing Cai

We find economically and statistically significant gains when using machine learning for portfolio allocation between the market index and risk-free asset. Optimal portfolio rules for time-varying expected returns and volatility are…

Portfolio Management · Quantitative Finance 2021-11-05 Michael Pinelis , David Ruppert
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