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We study mean-risk optimal portfolio problems where risk is measured by Recovery Average Value at Risk, a prominent example in the class of recovery risk measures. We establish existence results in the situation where the joint distribution…

Portfolio Management · Quantitative Finance 2023-03-03 Cosimo Munari , Justin Plückebaum , Stefan Weber

In this work, we consider the optimal portfolio selection problem under hard constraints on trading volume amounts when the dynamics of the risky asset returns are governed by a discrete-time approximation of the Markov-modulated geometric…

Portfolio Management · Quantitative Finance 2014-10-07 Vladimir Dombrovskii , Tatyana Obyedko

A diversified risk-adjusted time-series momentum (TSMOM) portfolio can deliver substantial abnormal returns and offer some degree of tail risk protection during extreme market events. The performance of existing TSMOM strategies, however,…

Computational Finance · Quantitative Finance 2023-06-29 Joel Ong , Dorien Herremans

Online portfolio selection is an integral componentof wealth management. The fundamental undertaking is tomaximise returns while minimising risk given investor con-straints. We aim to examine and improve modern strategiesto generate higher…

Computational Engineering, Finance, and Science · Computer Science 2021-09-29 Matthew Kruger , Terence L. van Zyl , Andrew Paskaramoorthy

Portfolio optimization has been a central problem in finance, often approached with two steps: calibrating the parameters and then solving an optimization problem. Yet, the two-step procedure sometimes encounter the "error maximization"…

Portfolio Management · Quantitative Finance 2021-07-13 Ayse Sinem Uysal , Xiaoyue Li , John M. Mulvey

This paper considers the mean variance portfolio management problem. We examine portfolios which contain both primary and derivative securities. The challenge in this context is due to portfolio's nonlinearities. The delta-gamma…

Portfolio Management · Quantitative Finance 2011-11-08 Yang Li , Traian A Pirvu

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

Portfolio Management · Quantitative Finance 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

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…

Portfolio Management · Quantitative Finance 2021-01-19 Tahsin Deniz Aktürk , Çağın Ararat

The monotone mean-variance (MMV) preference proposed by Maccheroni, et al. (Math. Finance 19(3): 487-521, 2009) fails to differentiate strictly dominant payoffs, which may cause inconsistency in portfolio decision-making. This paper…

Mathematical Finance · Quantitative Finance 2026-04-03 Yike Wang , Yusha Chen , Jingzhen Liu , Zhenyu Cui

The theory of convex risk functions has now been well established as the basis for identifying the families of risk functions that should be used in risk averse optimization problems. Despite its theoretical appeal, the implementation of a…

Optimization and Control · Mathematics 2022-07-20 Jonathan Yu-Meng Li

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 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…

Econometrics · Economics 2020-07-21 Matias D. Cattaneo , Richard K. Crump , Max H. Farrell , Ernst Schaumburg

The optimal allocation of assets has been widely discussed with the theoretical analysis of risk measures, and pessimism is one of the most attractive approaches beyond the conventional optimal portfolio model. The $\alpha$-risk plays a…

Portfolio Management · Quantitative Finance 2024-05-20 Sungchul Hong , Jong-June Jeon

Mean-reverting behavior of individuals assets is widely known in financial markets. In fact, we can construct a portfolio that has mean-reverting behavior and use it in trading strategies to extract profits. In this paper, we show that we…

Portfolio Management · Quantitative Finance 2024-06-26 Sung Min Yoon

This paper investigates the optimization problem of an infinite stage discrete time Markov decision process (MDP) with a long-run average metric considering both mean and variance of rewards together. Such performance metric is important…

Optimization and Control · Mathematics 2020-08-11 Li Xia

I discuss some theoretical results with a view to motivate some practical choices in portfolio optimization. Even though the setting is not completely general (for example, the covariance matrix is assumed to be non-singular), I attempt to…

Portfolio Management · Quantitative Finance 2016-01-29 Vassilios Papathanakos

Asset allocation is an investment strategy that aims to balance risk and reward by constantly redistributing the portfolio's assets according to certain goals, risk tolerance, and investment horizon. Unfortunately, there is no simple…

Portfolio Management · Quantitative Finance 2022-08-16 Ricard Durall

This paper investigates how to measure common market risk factors using newly proposed Panel Quantile Regression Model for Returns. By exploring the fact that volatility crosses all quantiles of the return distribution and using penalized…

Pricing of Securities · Quantitative Finance 2017-08-30 Frantisek Cech , Jozef Barunik

Utility and risk are two often competing measurements on the investment success. We show that efficient trade-off between these two measurements for investment portfolios happens, in general, on a convex curve in the two dimensional space…

Portfolio Management · Quantitative Finance 2018-05-16 Stanislaus Maier-Paape , Qiji Jim Zhu

This paper develops stochastic optimization problems for describing and analyzing behavioral investors with Markowitz Stochastic Dominance (MSD) preferences. Specifically, we establish dominance conditions in a discrete state-space to…

Portfolio Management · Quantitative Finance 2025-09-30 Peng Xu