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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

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,…

统计力学 · 物理学 2009-11-07 Morrel H. Cohen , Vincent D. Natoli

Markowitz laid the foundation of portfolio theory through the mean-variance optimization (MVO) framework. However, the effectiveness of MVO is contingent on the precise estimation of expected returns, variances, and covariances of asset…

投资组合管理 · 定量金融 2025-11-11 Junhyeong Lee , Haeun Jeon , Hyunglip Bae , Yongjae Lee

We study the Markowitz portfolio selection problem with unknown drift vector in the multidimensional framework. The prior belief on the uncertain expected rate of return is modeled by an arbitrary probability law, and a Bayesian approach…

投资组合管理 · 定量金融 2018-11-19 Carmine De Franco , Johann Nicolle , Huyên Pham

In this paper we consider the strategic asset allocation of an insurance company. This task can be seen as a special case of portfolio optimization. In the 1950s, Markowitz proposed to formulate portfolio optimization as a bicriteria…

计算工程、金融与科学 · 计算机科学 2021-03-23 Kerstin Dächert , Ria Grindel , Elisabeth Leoff , Jonas Mahnkopp , Florian Schirra , Jörg Wenzel

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…

数理金融 · 定量金融 2025-03-12 Duy Khanh Lam

A new methodology has been introduced to clean the correlation matrix of single stocks returns based on a constrained principal component analysis using financial data. Portfolios were introduced, namely "Fundamental Maximum Variance…

投资组合管理 · 定量金融 2020-01-27 Sebastien Valeyre

Entropy based ideas find wide-ranging applications in finance for calibrating models of portfolio risk as well as options pricing. The abstracted problem, extensively studied in the literature, corresponds to finding a probability measure…

统计金融 · 定量金融 2014-11-04 Santanu Dey , Sandeep Juneja , Karthyek R. A. Murthy

We briefly review the approach to optimization of portfolios according to the theory of Markowitz and propose a further modification that can improve the outcome of the optimization process. The modification takes account of the entropic…

统计金融 · 定量金融 2014-09-25 Krzysztof Urbanowicz

Designing an optimum portfolio that allocates weights to its constituent stocks in a way that achieves the best trade-off between the return and the risk is a challenging research problem. The classical mean-variance theory of portfolio…

投资组合管理 · 定量金融 2021-07-26 Jaydip Sen , Sidra Mehtab

Stock price prediction is a challenging task and a lot of propositions exist in the literature in this area. Portfolio construction is a process of choosing a group of stocks and investing in them optimally to maximize the return while…

投资组合管理 · 定量金融 2022-01-17 Jaydip Sen , Ashwin Kumar R S , Geetha Joseph , Kaushik Muthukrishnan , Koushik Tulasi , Praveen Varukolu

We introduce a universal framework for mean-covariance robust risk measurement and portfolio optimization. We model uncertainty in terms of the Gelbrich distance on the mean-covariance space, along with prior structural information about…

投资组合管理 · 定量金融 2025-10-02 Viet Anh Nguyen , Soroosh Shafiee , Damir Filipović , Daniel Kuhn

The Markowitz model is still the cornerstone of modern portfolio theory. In particular, when focusing on the minimum-variance portfolio, the covariance matrix or better its inverse, the so-called precision matrix, is the only input…

统计金融 · 定量金融 2022-03-28 Karoline Bax , Emanuele Taufer , Sandra Paterlini

The maximum entropy principle is a powerful tool for solving underdetermined inverse problems. This paper considers the problem of discretizing a continuous distribution, which arises in various applied fields. We obtain the approximating…

数值分析 · 数学 2020-08-05 Ken'ichiro Tanaka , Alexis Akira Toda

An investment portfolio consists of $n$ algorithmic trading strategies, which generate vectors of positions in trading assets. Sign opposite trades (buy/sell) cross each other as strategies are combined in a portfolio. Then portfolio…

投资组合管理 · 定量金融 2024-12-05 A. V. Kuliga , I. N. Shnurnikov

Portfolio sorting is ubiquitous in the empirical finance literature, where it has been widely used to identify pricing anomalies. Despite its popularity, little attention has been paid to the statistical properties of the procedure. We…

计量经济学 · 经济学 2020-07-21 Matias D. Cattaneo , Richard K. Crump , Max H. Farrell , Ernst Schaumburg

Given two random realized returns on an investment, which is to be preferred? This is a fundamental problem in finance that has no definitive solution except in the case one investment always returns more than the other. In 1952 Markowitz…

投资组合管理 · 定量金融 2020-09-24 Keith A. Lewis

Managing insurance and financial risk when data is limited is a key task in the insurance industry. In this paper, we focus on cases where the risk distribution is modeled as a mixture with some components estimable to high precision or…

最优化与控制 · 数学 2026-03-03 N. D. Shyamalkumar , Tianrun Wang

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…

统计金融 · 定量金融 2023-04-19 David Bauder , Taras Bodnar , Nestor Parolya , Wolfgang Schmid

This paper studies a variation of the continuous-time mean-variance portfolio selection where a tracking-error penalization is added to the mean-variance criterion. The tracking error term penalizes the distance between the allocation…

计算金融 · 定量金融 2020-09-21 William Lefebvre , Gregoire Loeper , Huyên Pham