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The problem of stock hedging is reconsidered in this paper, where a put option is chosen from a set of available put options to hedge the market risk of a stock. A formula is proposed to determine the probability that the potential loss…

风险管理 · 定量金融 2011-10-04 Guanghui Huang , Jing Xu , Wenting Xing

We consider a two-sided singular stochastic control problem with a risk-sensitive ergodic criterion. In particular, we consider a stochastic system whose uncontrolled dynamics are modelled by a linear diffusion. The control that can be…

最优化与控制 · 数学 2025-09-15 Justin Gwee , Mihail Zervos

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…

投资组合管理 · 定量金融 2019-12-23 Alev Meral

Every "x"-adjustment in the so-called xVA financial risk management framework relies on the computation of exposures. Considering thousands of Monte Carlo paths and tens of simulation steps, a financial portfolio needs to be evaluated…

计算金融 · 定量金融 2022-05-24 Lech A. Grzelak

Market conditions change continuously. However, in portfolio's investment strategies, it is hard to account for this intrinsic non-stationarity. In this paper, we propose to address this issue by using the Inverse Covariance Clustering…

统计金融 · 定量金融 2022-01-17 Yuanrong Wang , Tomaso Aste

We study the design of portfolios under a minimum risk criterion. The performance of the optimized portfolio relies on the accuracy of the estimated covariance matrix of the portfolio asset returns. For large portfolios, the number of…

投资组合管理 · 定量金融 2016-01-20 Liusha Yang , Romain Couillet , Matthew R. McKay

We consider optimal allocation problems with Conditional Value-At-Risk (CVaR) constraint. We prove, under very mild assumptions, the convergence of the Sample Average Approximation method (SAA) applied to this problem, and we also exhibit a…

投资组合管理 · 定量金融 2025-05-19 Jérôme Lelong , Véronique Maume-Deschamps , William Thevenot

In this paper we introduce a novel approach to distributionally robust optimal control that supports online learning of the ambiguity set, while guaranteeing recursive feasibility. We introduce conic representable risk, which is useful to…

系统与控制 · 电气工程与系统科学 2021-12-13 Peter Coppens , Panagiotis Patrinos

This paper investigates a continuous-time portfolio optimization problem with the following features: (i) a no-short selling constraint; (ii) a leverage constraint, that is, an upper limit for the sum of portfolio weights; and (iii) a…

投资组合管理 · 定量金融 2022-03-08 Masashi Ieda

The stability of a complex financial system may be assessed by measuring risk contagion between various financial institutions with relatively high exposure. We consider a financial network model using a bipartite graph of financial…

风险管理 · 定量金融 2025-05-23 Bikramjit Das , Vicky Fasen-Hartmann

We consider continuous-time stochastic optimal control problems featuring Conditional Value-at-Risk (CVaR) in the objective. The major difficulty in these problems arises from time-inconsistency, which prevents us from directly using…

最优化与控制 · 数学 2020-05-27 Christopher W. Miller , Insoon Yang

In this paper, we propose a machine learning algorithm for time-inconsistent portfolio optimization. The proposed algorithm builds upon neural network based trading schemes, in which the asset allocation at each time point is determined by…

投资组合管理 · 定量金融 2023-09-06 Kristoffer Andersson , Cornelis W. Oosterlee

Sequential Convex Programming (SCP) has recently gained significant popularity as an effective method for solving optimal control problems and has been successfully applied in several different domains. However, the theoretical analysis of…

最优化与控制 · 数学 2022-09-07 Riccardo Bonalli , Thomas Lew , Marco Pavone

In this paper we apply second-order stochastic dominance (SSD) to the problem of enhanced indexation with asset subset (sector) constraints. The problem we consider is how to construct a portfolio that is designed to outperform a given…

计算金融 · 定量金融 2024-11-12 Cristiano Arbex Valle , John E Beasley , Nigel Meade

We study an open problem of risk-sensitive portfolio allocation in a regime-switching credit market with default contagion. The state space of the Markovian regime-switching process is assumed to be a countably infinite set. To characterize…

投资组合管理 · 定量金融 2018-10-25 Lijun Bo , Huafu Liao , Xiang Yu

In this paper we propose a problem-driven scenario generation approach to the single-period portfolio selection problem which use tail risk measures such as conditional value-at-risk. Tail risk measures are useful for quantifying potential…

风险管理 · 定量金融 2019-11-14 Jamie Fairbrother , Amanda Turner , Stein Wallace

We propose a novel portfolio selection approach that manages to ease some of the problems that characterise standard expected utility maximisation. The optimal portfolio is no longer defined as the extremum of a suitably chosen utility…

凝聚态物理 · 物理学 2009-09-29 P. Rossi , M. Tavoni , F. Cocco , R. Marschinski

Possibilistic risk theory starts from the hypothesis that risk is modelled by fuzzy numbers. In particular, in a possibilistic portfolio choice problem, the return of a risky asset will be a fuzzy number. The expected utility operators have…

投资组合管理 · 定量金融 2019-07-01 Irina Georgescu , Louis Aimé Fono

We introduce a financial portfolio optimization framework that allows us to automatically select the relevant assets and estimate their weights by relying on a sorted $\ell_1$-Norm penalization, henceforth SLOPE. Our approach is able to…

投资组合管理 · 定量金融 2021-07-30 Philipp J. Kremer , Sangkyun Lee , Malgorzata Bogdan , Sandra Paterlini

Stochastic Model Predictive Control addresses uncertainties by incorporating chance constraints that provide probabilistic guarantees of constraint satisfaction. However, simultaneously optimizing over the risk allocation and the feedback…

系统与控制 · 电气工程与系统科学 2026-04-07 Filipe Marques Barbosa , Johan Löfberg