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Related papers: Multiscale Markowitz

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We consider an investor, whose portfolio consists of a single risky asset and a risk free asset, who wants to maximize his expected utility of the portfolio subject to the Value at Risk assuming a heavy tail distribution of the stock prices…

Portfolio Management · Quantitative Finance 2020-12-02 Subhojit Biswas , Diganta Mukherjee

Portfolio optimization has long been dominated by covariance-based strategies, such as the Markowitz Mean-Variance framework. However, these approaches often fail to ensure a balanced risk structure across assets, leading to concentration…

Portfolio Management · Quantitative Finance 2025-08-07 Biswarup Chakraborty

Portfolio allocation with gross-exposure constraint is an effective method to increase the efficiency and stability of selected portfolios among a vast pool of assets, as demonstrated in Fan et al (2008). The required high-dimensional…

Portfolio Management · Quantitative Finance 2010-04-29 Jianqing Fan , Yingying Li , Ke Yu

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…

Statistical Finance · Quantitative Finance 2014-09-25 Krzysztof Urbanowicz

It is widely recognized that when classical optimal strategies are applied with parameters estimated from data, the resulting portfolio weights are remarkably volatile and unstable over time. The predominant explanation for this is the…

Statistics Theory · Mathematics 2009-06-15 Carl Lindberg

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…

Portfolio Management · Quantitative Finance 2024-01-02 Vahidin Jeleskovic , Claudio Latini , Zahid I. Younas , Mamdouh A. S. Al-Faryan

Markowitz's criterion aims to balance expected return and risk when optimizing the portfolio. The expected return level is usually fixed according to the risk appetite of an investor, then the risk is minimized at this fixed return level.…

Portfolio Management · Quantitative Finance 2024-11-08 Yizun Lin , Yongxin He , Zhao-Rong Lai

Recent studies stressed the fact that covariance matrices computed from empirical financial time series appear to contain a high amount of noise. This makes the classical Markowitz Mean-Variance Optimization model unable to correctly…

Optimization and Control · Mathematics 2021-03-03 Justo Puerto , Federica Ricca , Moisés Rodríguez-Madrena , Andrea Scozzari

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…

Computational Engineering, Finance, and Science · Computer Science 2022-01-04 Farshad Noravesh , Kristiaan Kerstens

Monotone mean-variance (MMV) utility is the minimal modification of the classical Markowitz utility that respects rational ordering of investment opportunities. This paper provides, for the first time, a complete characterization of optimal…

Portfolio Management · Quantitative Finance 2026-05-19 Aleš Černý , Johannes Ruf , Martin Schweizer

In this paper, we propose a market model with returns assumed to follow a multivariate normal tempered stable distribution defined by a mixture of the multivariate normal distribution and the tempered stable subordinator. This distribution…

Portfolio Management · Quantitative Finance 2020-09-22 Young Shin Kim

The portfolio optimisation problem, first raised by Harry Markowitz in 1952, has been a fundamental and central topic to understanding the stock market and making decisions. There has been plenty of works contributing to development of the…

Portfolio Management · Quantitative Finance 2019-07-09 Xiang Meng

We consider an incomplete market with a nontradable stochastic factor and a continuous time investment problem with an optimality criterion based on monotone mean-variance preferences. We formulate it as a stochastic differential game…

Portfolio Management · Quantitative Finance 2023-04-25 Jakub Trybuła , Dariusz Zawisza

We consider the problem of portfolio selection within the classical Markowitz mean-variance framework, reformulated as a constrained least-squares regression problem. We propose to add to the objective function a penalty proportional to the…

Portfolio Management · Quantitative Finance 2013-01-01 Joshua Brodie , Ingrid Daubechies , Christine De Mol , Domenico Giannone , Ignace Loris

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…

Portfolio Management · Quantitative Finance 2013-05-13 Taras Bodnar , Nestor Parolya , Wolfgang Schmid

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…

Applications · Statistics 2011-08-05 Tze Leung Lai , Haipeng Xing , Zehao Chen

This paper concerns portfolio selection with multiple assets under rough covariance matrix. We investigate the continuous-time Markowitz mean-variance problem for a multivariate class of affine and quadratic Volterra models. In this…

Optimization and Control · Mathematics 2021-01-25 Eduardo Abi Jaber , Enzo Miller , Huyên Pham

The classical Markowitz mean-variance model uses variance as a risk measure and calculates frontier portfolios in closed form by using standard optimization techniques. For general mean-risk models such closed form optimal portfolios are…

Mathematical Finance · Quantitative Finance 2026-03-17 Hasanjan Sayit

Recent advances in quantum hardware offer new approaches to solve various optimization problems that can be computationally expensive when classical algorithms are employed. We propose a hybrid quantum-classical algorithm to solve a dynamic…

Quantum Physics · Physics 2023-03-23 H. Xu , S. Dasgupta , A. Pothen , A. Banerjee

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…

Portfolio Management · Quantitative Finance 2019-09-24 Sarah Perrin , Thierry Roncalli