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We consider a portfolio allocation problem for trend following (TF) strategies on multiple correlated assets. Under simplifying assumptions of a Gaussian market and linear TF strategies, we derive analytical formulas for the mean and…

投资组合管理 · 定量金融 2020-01-03 Denis S. Grebenkov , Jeremy Serror

In this work, we consider the optimal portfolio selection problem under hard constraints on trading amounts, transaction costs and different rates for borrowing and lending when the risky asset returns are serially correlated. No…

投资组合管理 · 定量金融 2014-10-30 Vladimir Dombrovskii , Tatyana Obedko

We consider the problem of portfolio optimization with a correlation constraint. The framework is the multiperiod stochastic financial market setting with one tradable stock, stochastic income and a non-tradable index. The correlation…

最优化与控制 · 数学 2020-01-01 Aditya Maheshwari , Traian Pirvu

Given a set of assets and an investment capital, the classical portfolio selection problem consists in determining the amount of capital to be invested in each asset in order to build the most profitable portfolio. The portfolio…

投资组合管理 · 定量金融 2019-07-17 Justo Puerto , Moises Rodríguez-Madrena , Andrea Scozzari

Performance analysis, from the external point of view of a client who would only have access to returns and holdings of a fund, evolved towards exact attribution made in the context of portfolio optimisation, which is the internal point of…

投资组合管理 · 定量金融 2014-08-08 Bruno Durin

We provide analytical results for a static portfolio optimization problem with two coherent risk measures. The use of two risk measures is motivated by joint decision-making for portfolio selection where the risk perception of the portfolio…

投资组合管理 · 定量金融 2021-01-19 Tahsin Deniz Aktürk , Çağın Ararat

Portfolio management problems are often divided into two types: active and passive, where the objective is to outperform and track a preselected benchmark, respectively. Here, we formulate and solve a dynamic asset allocation problem that…

投资组合管理 · 定量金融 2018-07-31 Ali Al-Aradi , Sebastian Jaimungal

We investigate how and when to diversify capital over assets, i.e., the portfolio selection problem, from a signal processing perspective. To this end, we first construct portfolios that achieve the optimal expected growth in i.i.d.…

投资组合管理 · 定量金融 2012-07-18 Sait Tunc , Mehmet A. Donmez , Suleyman S. Kozat

We propose a new approach to portfolio optimization that utilizes a unique combination of synthetic data generation and a CVaR-constraint. We formulate the portfolio optimization problem as an asset allocation problem in which each asset…

投资组合管理 · 定量金融 2024-05-17 José-Manuel Peña , Fernando Suárez , Omar Larré , Domingo Ramírez , Arturo Cifuentes

Financial portfolio optimization is a widely studied problem in mathematics, statistics, financial and computational literature. It adheres to determining an optimal combination of weights associated with financial assets held in a…

投资组合管理 · 定量金融 2013-01-21 Ankit Dangi

This article deals with the problem of optimal allocation of capital to corporate bonds in fixed income portfolios when there is the possibility of correlated defaults. Under fairly general assumptions for the distribution of the total net…

适应与自组织系统 · 物理学 2008-12-10 Mark B. Wise , Vineer Bhansali

Changes in market conditions present challenges for investors as they cause performance to deviate from the ranges predicted by long-term averages of means and covariances. The aim of conditional asset allocation strategies is to overcome…

综合金融 · 定量金融 2022-11-03 Reza Bradrania , Davood Pirayesh Neghab

Portfolio optimization is an important process in finance that consists in finding the optimal asset allocation that maximizes expected returns while minimizing risk. When assets are allocated in discrete units, this is a combinatorial…

统计力学 · 物理学 2022-10-04 Álvaro Rubio-García , Juan José García-Ripoll , Diego Porras

Portfolio optimization is a ubiquitous problem in financial mathematics that relies on accurate estimates of covariance matrices for asset returns. However, estimates of pairwise covariance could be better and calculating time-sensitive…

投资组合管理 · 定量金融 2024-11-12 James S. Cummins , Natalia G. Berloff

Portfolio optimization is a cornerstone of financial decision-making, traditionally relying on classical algorithms to balance risk and return. Recent advances in quantum computing offer a promising alternative, leveraging quantum…

量子物理 · 物理学 2025-11-27 Vicente P. Soloviev , Michal Krompiec

This paper derives an optimal portfolio that is based on trend-following signal. Building on an earlier related article, it provides a unifying theoretical setting to introduce an autocorrelation model with the covariance matrix of trends…

投资组合管理 · 定量金融 2024-01-30 Sebastien Valeyre

One of the problems frequently mentioned as a candidate for quantum advantage is that of selecting a portfolio of financial assets to maximize returns while minimizing risk. In this paper we formulate several real-world constraints for use…

材料科学 · 物理学 2022-03-10 Salvatore Certo , Anh Dung Pham , Daniel Beaulieu

We consider optimal consumption and portfolio choice in the presence of Knightian uncertainty in continuous-time. We embed the problem into the new framework of stochastic calculus for such settings, dealing in particular with the issue of…

投资组合管理 · 定量金融 2014-01-09 Qian Lin , Frank Riedel

Given multivariate time series, we study the problem of forming portfolios with maximum mean reversion while constraining the number of assets in these portfolios. We show that it can be formulated as a sparse canonical correlation analysis…

计算工程、金融与科学 · 计算机科学 2008-02-26 Alexandre d'Aspremont

With the recent rise of Machine Learning as a candidate to partially replace classic Financial Mathematics methodologies, we investigate the performances of both in solving the problem of dynamic portfolio optimization in continuous-time,…

投资组合管理 · 定量金融 2019-10-29 Babak Mahdavi-Damghani , Konul Mustafayeva , Stephen Roberts , Cristin Buescu
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