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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…

Portfolio Management · Quantitative Finance 2014-10-30 Vladimir Dombrovskii , Tatyana Obedko

We study an optimization-based approach to con- struct a mean-reverting portfolio of assets. Our objectives are threefold: (1) design a portfolio that is well-represented by an Ornstein-Uhlenbeck process with parameters estimated by maximum…

Portfolio Management · Quantitative Finance 2018-03-20 Jize Zhang , Tim Leung , Aleksandr Y. Aravkin

This paper introduces a new functional optimization approach to portfolio optimization problems by treating the unknown weight vector as a function of past values instead of treating them as fixed unknown coefficients in the majority of…

Portfolio Management · Quantitative Finance 2020-12-10 Ka Wai Tsang , Zhaoyi He

A novel optimisation framework through quadratic nonlinear projection is introduced for credit portfolio when the portfolio risk is measured by Conditional Value-at-Risk (CVaR). The whole optimisation procedure to search toward the optimal…

Portfolio Management · Quantitative Finance 2016-07-20 Boguk Kim , Chulwoo Han , Frank Chongwoo Park

This article studies a portfolio optimization problem, where the market consisting of several stocks is modeled by a multi-dimensional jump-diffusion process with age-dependent semi-Markov modulated coefficients. We study risk sensitive…

Portfolio Management · Quantitative Finance 2019-10-21 Milan Kumar Das , Anindya Goswami , Nimit Rana

We introduce new mathematical methods to study the optimal portfolio size of investment portfolios over time, considering investors with varying skill levels. First, we explore the benefit of portfolio diversification on an annual basis for…

Portfolio Management · Quantitative Finance 2024-02-26 Nick James , Max Menzies

The problem of portfolio allocation in the context of stocks evolving in random environments, that is with volatility and returns depending on random factors, has attracted a lot of attention. The problem of maximizing a power utility at a…

Mathematical Finance · Quantitative Finance 2022-11-29 Maxim Bichuch , Jean-Pierre Fouque

This study explores the use of Transformer-based models to predict both covariance and semi-covariance matrices for ETF portfolio optimization. Traditional portfolio optimization techniques often rely on static covariance estimates or…

Portfolio Management · Quantitative Finance 2024-12-02 Jiahao Zhu , Hengzhi Wu

We extend and test empirically the multifractal model of asset returns based on a multiplicative cascade of volatilities from large to small time scales. The multifractal description of asset fluctuations is generalized into a multivariate…

Statistical Mechanics · Physics 2008-12-10 J. -F. Muzy , D. Sornette , J. Delour , A. Arneodo

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…

Portfolio Management · Quantitative Finance 2020-01-03 Denis S. Grebenkov , Jeremy Serror

We address the problem of portfolio optimization under the simplest coherent risk measure, i.e. the expected shortfall. As it is well known, one can map this problem into a linear programming setting. For some values of the external…

Physics and Society · Physics 2008-12-02 Stefano Ciliberti , Imre Kondor , Marc Mezard

We empirically test predictability on asset price by using stock selection rules based on maximum drawdown and its consecutive recovery. In various equity markets, monthly momentum- and weekly contrarian-style portfolios constructed from…

General Finance · Quantitative Finance 2024-05-24 Jaehyung Choi

Growth-optimal portfolios are guaranteed to accumulate higher wealth than any other investment strategy in the long run. However, they tend to be risky in the short term. For serially uncorrelated markets, similar portfolios with more…

Portfolio Management · Quantitative Finance 2016-09-20 Byung-Geun Choi , Napat Rujeerapaiboon , Ruiwei Jiang

Considering mean-variance portfolio problems with uncertain model parameters, we contrast the classical absolute robust optimization approach with the relative robust approach based on a maximum regret function. Although the latter problems…

Portfolio Management · Quantitative Finance 2013-05-14 Raphael Hauser , Vijay Krishnamurthy , Reha Tütüncü

The use of improved covariance matrix estimators as an alternative to the sample estimator is considered an important approach for enhancing portfolio optimization. Here we empirically compare the performance of 9 improved covariance…

Portfolio Management · Quantitative Finance 2010-04-27 Ester Pantaleo , Michele Tumminello , Fabrizio Lillo , Rosario N. Mantegna

High precision analytical approximation is proposed for variance-covariance based risk allocation in a portfolio of risky assets. A general case of a single-period multi-factor Merton-type model with stochastic recovery is considered. The…

Risk Management · Quantitative Finance 2009-09-28 Mikhail Voropaev

We consider the mean--variance portfolio optimization problem under the game theoretic framework and without risk-free assets. The problem is solved semi-explicitly by applying the extended Hamilton--Jacobi--Bellman equation. Although the…

Portfolio Management · Quantitative Finance 2016-02-17 Chi Kin Lam , Yuhong Xu , Guosheng Yin

This paper studies a type of periodic utility maximization problems for portfolio management in incomplete stochastic factor models with convex trading constraints. The portfolio performance is periodically evaluated on the relative ratio…

Mathematical Finance · Quantitative Finance 2024-11-22 Wenyuan Wang , Kaixin Yan , Xiang Yu

The main contribution of the paper is to employ the financial market network as a useful tool to improve the portfolio selection process, where nodes indicate securities and edges capture the dependence structure of the system. Three…

Portfolio Management · Quantitative Finance 2019-01-15 Gian Paolo Clemente , Rosanna Grassi , Asmerilda Hitaj

Portfolio optimization is one of the most studied problems for demonstrating the near-term applications of quantum computing. However, large-scale problems cannot be solved on today's quantum hardware. In this work, we extend upon a study…

Quantum Physics · Physics 2023-05-03 Naman Jain , M Girish Chandra