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The first moment and second central moments of the portfolio return, a.k.a. mean and variance, have been widely employed to assess the expected profit and risk of the portfolio. Investors pursue higher mean and lower variance when designing…

投资组合管理 · 定量金融 2020-08-04 Rui Zhou , Daniel P. Palomar

Portfolio optimization is one of the most studied optimization problems at the intersection of quantum computing and finance. In this work, we develop the first quantum formulation for a portfolio optimization problem with higher-order…

量子物理 · 物理学 2026-01-28 Valter Uotila , Julia Ripatti , Bo Zhao

Portfolio optimization emerged with the seminal paper of Markowitz (1952). The original mean-variance framework is appealing because it is very efficient from a computational point of view. However, it also has one well-established failing…

投资组合管理 · 定量金融 2019-09-24 Sarah Perrin , Thierry Roncalli

The Markowitz mean-variance portfolio optimization model aims to balance expected return and risk when investing. However, there is a significant limitation when solving large portfolio optimization problems efficiently: the large and dense…

投资组合管理 · 定量金融 2023-06-23 Cassidy K. Buhler , Hande Y. Benson

One of the reasons that higher order moment portfolio optimization methods are not fully used by practitioners in investment decisions is the complexity that these higher moments create by making the optimization problem nonconvex. Many few…

计算工程、金融与科学 · 计算机科学 2022-01-07 Farshad Noravesh

Optimal capital allocation between different assets is an important financial problem, which is generally framed as the portfolio optimization problem. General models include the single-period and multi-period cases. The traditional…

投资组合管理 · 定量金融 2019-03-18 Masoud Fekri , Babak Barazandeh

In this paper, we develop a time-series-based signed network model for dimensionality reduction in portfolio optimization, grounded in Markowitz's portfolio theory and extended to incorporate higher-order moments of asset return…

组合数学 · 数学 2026-05-28 Bibhas Adhikari

Traditional Markowitz portfolio optimization constrains daily portfolio variance to a target value, optimising returns, Sharpe or variance within this constraint. However, this approach overlooks the relationship between variance at…

投资组合管理 · 定量金融 2024-11-22 Revant Nayar , Raphael Douady

In this paper, different approaches to portfolio optimization having higher moments such as skewness and kurtosis are classified so that the reader can observe different paradigms and approaches in this field of research which is essential…

计算工程、金融与科学 · 计算机科学 2022-01-04 Farshad Noravesh , Kristiaan Kerstens

In the paper, we consider three quadratic optimization problems which are frequently applied in portfolio theory, i.e, the Markowitz mean-variance problem as well as the problems based on the mean-variance utility function and the quadratic…

投资组合管理 · 定量金融 2013-05-13 Taras Bodnar , Nestor Parolya , Wolfgang Schmid

This paper aims to develop new mathematical and computational tools for modeling the distribution of portfolio returns across portfolios. We establish relevant mathematical formulas and propose efficient algorithms, drawing upon powerful…

计算工程、金融与科学 · 计算机科学 2021-05-17 Ludovic Calès , Apostolos Chalkis , Ioannis Z. Emiris

More than seventy years ago Harry Markowitz formulated portfolio construction as an optimization problem that trades off expected return and risk, defined as the standard deviation of the portfolio returns. Since then the method has been…

投资组合管理 · 定量金融 2024-01-11 Stephen Boyd , Kasper Johansson , Ronald Kahn , Philipp Schiele , Thomas Schmelzer

Markowitz's celebrated mean--variance portfolio optimization theory assumes that the means and covariances of the underlying asset returns are known. In practice, they are unknown and have to be estimated from historical data. Plugging the…

应用统计 · 统计学 2011-08-05 Tze Leung Lai , Haipeng Xing , Zehao Chen

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…

投资组合管理 · 定量金融 2024-10-16 Carlos Minutti-Martinez

Markowitz mean-variance portfolios with sample mean and covariance as input parameters feature numerous issues in practice. They perform poorly out of sample due to estimation error, they experience extreme weights together with high…

计量经济学 · 经济学 2022-12-29 Wolfgang Karl Härdle , Yegor Klochkov , Alla Petukhina , Nikita Zhivotovskiy

This paper studies a continuous-time market where an agent, having specified an investment horizon and a targeted terminal mean return, seeks to minimize the variance of the return. The optimal portfolio of such a problem is called…

概率论 · 数学 2008-12-02 Xun Li , Xun Yu Zhou

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,…

综合金融 · 定量金融 2020-07-03 Qingyin Ge , Yunuo Ma , Yuezhi Liao , Rongyu Li , Tianle Zhu

We show that the Markowitz portfolio is a scalar multiple of another portfolio which replaces the covariance with the second moment matrix, via simple application of the Sherman-Morrison identity. Moreover it is shown that when using…

投资组合管理 · 定量金融 2026-01-27 Steven E. Pav

Markowitz (1952, 1959) laid down the ground-breaking work on the mean-variance analysis. Under his framework, the theoretical optimal allocation vector can be very different from the estimated one for large portfolios due to the intrinsic…

投资组合管理 · 定量金融 2008-12-16 Jianqing Fan , Jingjin Zhang , Ke Yu

This paper proposes a new method for financial portfolio optimization based on reducing simultaneous asset shocks across a collection of assets. This may be understood as an alternative approach to risk reduction in a portfolio based on a…

投资组合管理 · 定量金融 2023-03-10 Nick James , Max Menzies , Jennifer Chan
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