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We solve an expected utility-maximization problem with a Value-at-risk constraint on the terminal portfolio value in an incomplete financial market due to stochastic volatility. To derive the optimal investment strategy, we use the dynamic…

Portfolio Management · Quantitative Finance 2025-05-21 Marcos Escobar-Anel , Yevhen Havrylenko , Rudi Zagst

For long term investments, model portfolios are defined at the level of indexes, a setup known as Strategic Asset Allocation (SAA). The possible outcomes at a scale of a few decades can be obtained by Monte Carlo simulations, resulting in a…

Risk Management · Quantitative Finance 2025-11-25 Gilles Zumbach

A discrete time probabilistic model, for optimal equity allocation and portfolio selection, is formulated so as to apply to (at least) reinsurance. In the context of a company with several portfolios (or subsidiaries), representing both…

Optimization and Control · Mathematics 2008-12-02 Erik Taflin

We consider a variation on the classical finance problem of optimal portfolio design. In our setting, a large population of consumers is drawn from some distribution over risk tolerances, and each consumer must be assigned to a portfolio of…

We study investment and insurance demand decisions for an agent in a theoretical continuous-time expected utility maximization model that combines risky assets with an (exogenous) insurable background risk. This risk takes the form of a…

Mathematical Finance · Quantitative Finance 2023-03-09 Hugo E. Ramirez , Rafael Serrano

We examine volume computation of general-dimensional polytopes and more general convex bodies, defined as the intersection of a simplex by a family of parallel hyperplanes, and another family of parallel hyperplanes or a family of…

Computational Geometry · Computer Science 2018-03-16 Ludovic Cales , Apostolos Chalkis , Ioannis Z. Emiris , Vissarion Fisikopoulos

We present a quantum algorithm for portfolio optimization. We discuss the market data input, the processing of such data via quantum operations, and the output of financially relevant results. Given quantum access to the historical record…

Quantum Physics · Physics 2018-11-12 Patrick Rebentrost , Seth Lloyd

We consider the problem of choosing an optimal portfolio, assuming the asset returns have a Gaussian mixture (GM) distribution, with the objective of maximizing expected exponential utility. In this paper we show that this problem is…

Optimization and Control · Mathematics 2022-08-12 Eric Luxenberg , Stephen Boyd

In black-box optimization, a central question is which algorithm to use to solve a given, previously unseen, problem. Selecting a single algorithm, however, entails inherent risks: inaccuracies in the selector may lead to poor choices, and…

Neural and Evolutionary Computing · Computer Science 2026-04-21 Catalin-Viorel Dinu , Diederick Vermetten , Carola Doerr

Allocation tasks represent a class of problems where a limited amount of resources must be allocated to a set of entities at each time step. Prominent examples of this task include portfolio optimization or distributing computational…

Artificial Intelligence · Computer Science 2024-09-30 David Winkel , Niklas Strauß , Maximilian Bernhard , Zongyue Li , Thomas Seidl , Matthias Schubert

Planning in environments with other agents whose future actions are uncertain often requires compromise between safety and performance. Here our goal is to design efficient planning algorithms with guaranteed bounds on the probability of…

Robotics · Computer Science 2021-06-18 Hung-Jui Huang , Kai-Chi Huang , Michal Čáp , Yibiao Zhao , Ying Nian Wu , Chris L. Baker

We consider convex constrained optimization problems that also include a cardinality constraint. In general, optimization problems with cardinality constraints are difficult mathematical programs which are usually solved by global…

Optimization and Control · Mathematics 2022-09-08 Nataša Krejić , Evelin H. M. Krulikovski , Marcos Raydan

In this paper, we search for optimal portfolio strategies in the presence of various risk measure that are common in financial applications. Particularly, we deal with the static optimization problem with respect to Value at Risk, Expected…

Portfolio Management · Quantitative Finance 2019-12-23 Alev Meral

We present a reinforcement learning (RL)-driven framework for optimizing block-preconditioner sizes in iterative solvers used in portfolio optimization and option pricing. The covariance matrix in portfolio optimization or the…

Portfolio Management · Quantitative Finance 2025-07-04 Hadi Keramati , Samaneh Jazayeri

Stock market returns are typically analyzed using standard regression, yet they reside on irregular domains which is a natural scenario for graph signal processing. To this end, we consider a market graph as an intuitive way to represent…

Portfolio Management · Quantitative Finance 2021-06-08 Alvaro Arroyo , Bruno Scalzo , Ljubisa Stankovic , Danilo P. Mandic

We model investor heterogeneity using different required returns on an investment and evaluate the impact on the valuation of an investment. By assuming no disagreement on the cash flows, we emphasize how risk preferences in particular, but…

General Finance · Quantitative Finance 2021-09-13 Carol Alexander , Xi Chen , Charles Ward

We introduce a novel framework for computing optimal randomized security policies in networked domains which extends previous approaches in several ways. First, we extend previous linear programming techniques for Stackelberg security games…

Computer Science and Game Theory · Computer Science 2012-10-19 Joshua Letchford , Yevgeniy Vorobeychik

This paper presents an innovative online portfolio selection model, situated within a meta-learning framework, that leverages a mixture policies strategy. The core idea is to simulate a fund that employs multiple fund managers, each skilled…

Optimization and Control · Mathematics 2025-05-13 Jiayu Shen , Jia Liu , Zhiping Chen

Value-at-risk (VaR) has been playing the role of a standard risk measure since its introduction. In practice, the delta-normal approach is usually adopted to approximate the VaR of portfolios with option positions. Its effectiveness,…

Methodology · Statistics 2019-04-22 Junyao Chen , Tony Sit , Hoi Ying Wong

A {log-optimal} portfolio is any portfolio that maximizes the expected logarithmic growth (ELG) of an investor's wealth. This maximization problem typically assumes that the information of the true distribution of returns is known to the…

Optimization and Control · Mathematics 2023-10-16 Chung-Han Hsieh