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The aim of this work consists in the study of the optimal investment strategy for a behavioural investor, whose preference towards risk is described by both a probability distortion and an S-shaped utility function. Within a continuous-time…

Portfolio Management · Quantitative Finance 2013-04-30 Miklos Rasonyi , Andrea M. Rodrigues

We study optimal liquidation strategies under partial information for a single asset within a finite time horizon. We propose a model tailored for high-frequency trading, capturing price formation driven solely by order flow through…

Mathematical Finance · Quantitative Finance 2024-11-08 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath

We solve the problem of mean-variance hedging for general semimartingale models via stochastic control methods. After proving that the value process of the associated stochastic control problem has a quadratic structure, we characterize its…

Probability · Mathematics 2012-11-30 Monique Jeanblanc , Michael Mania , Marina Santacroce , Martin Schweizer

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

We consider the Merton problem of optimizing expected power utility of terminal wealth in the case of an unobservable Markov-modulated drift. What makes the model special is that the agent is allowed to purchase costly expert opinions of…

Portfolio Management · Quantitative Finance 2024-09-19 Christoph Knochenhauer , Alexander Merkel , Yufei Zhang

In this paper, we consider a financial market with assets exposed to some risks inducing jumps in the asset prices, and which can still be traded after default times. We use a default-intensity modeling approach, and address in this…

Portfolio Management · Quantitative Finance 2015-10-21 Thomas Lim , Marie-Claire Quenez

We propose some machine-learning-based algorithms to solve hedging problems in incomplete markets. Sources of incompleteness cover illiquidity, untradable risk factors, discrete hedging dates and transaction costs. The proposed algorithms…

Risk Management · Quantitative Finance 2020-08-13 Simon Fécamp , Joseph Mikael , Xavier Warin

We model a nonlinear price curve quoted in a market as the utility indifference curve of a representative liquidity supplier. As the utility function we adopt a g-expectation. In contrast to the standard framework of financial engineering,…

Mathematical Finance · Quantitative Finance 2017-02-07 Masaaki Fukasawa , Mitja Stadje

Models trained under assumptions in the complete market usually don't take effect in the incomplete market. This paper solves the hedging problem in incomplete market with three sources of incompleteness: risk factor, illiquidity, and…

Statistical Finance · Quantitative Finance 2023-05-12 Ruochen Xiao , Qiaochu Feng , Ruxin Deng

We consider hedging of a contingent claim by a 'semi-static' strategy composed of a dynamic position in one asset and static (buy-and-hold) positions in other assets. We give general representations of the optimal strategy and the hedging…

Mathematical Finance · Quantitative Finance 2017-09-19 Paolo Di Tella , Martin Haubold , Martin Keller-Ressel

In this paper we formulate and study an optimal switching problem under partial information. In our model the agent/manager/investor attempts to maximize the expected reward by switching between different states/investments. However, he is…

Optimization and Control · Mathematics 2014-03-10 Kai Li , Kaj Nyström , Marcus Olofsson

In this work we investigate the optimal proportional reinsurance-investment strategy of an insurance company which wishes to maximize the expected exponential utility of its terminal wealth in a finite time horizon. Our goal is to extend…

Risk Management · Quantitative Finance 2019-04-04 Matteo Brachetta , Claudia Ceci

With the advent of Web 2.0, various types of data are being produced every day. This has led to the revolution of big data. Huge amount of structured and unstructured data are produced in financial markets. Processing these data could help…

General Finance · Quantitative Finance 2018-11-27 Dhanya Jothimani , Ravi Shankar , Surendra S. Yadav

Optimal execution in financial markets refers to the process of strategically transacting a large volume of assets over a period to achieve the best possible outcome by balancing the trade-off between market impact costs and timing or…

Machine Learning · Computer Science 2025-06-09 Yang Li , Zhi Chen

We study investment strategy in different models of financial markets, where the investors cannot reach a perfect knowledge about available assets. The investor spends a certain effort to get information; this allows him to better choose…

Disordered Systems and Neural Networks · Physics 2008-12-02 Andrea Capocci , Yi-Cheng Zhang

This paper studies the optimal investment problem for a hybrid pension plan under model uncertainty, where both the contribution and the benefit are adjusted depending on the performance of the plan. Furthermore, an age and time-dependent…

Optimization and Control · Mathematics 2023-02-07 Ke Fu , Ximin Rong , Hui Zhao

We establish a Nash equilibrium in a market with $ N $ agents with the performance criteria of relative wealth level when the market return is unobservable. Each investor has a random prior belief on the return rate of the risky asset. The…

Portfolio Management · Quantitative Finance 2020-07-24 Chao Deng , Xizhi Su , Chao Zhou

We study an optimal investment/consumption problem in a model capturing market and credit risk dependencies. Stochastic factors drive both the default intensity and the volatility of the stocks in the portfolio. We use the martingale…

Mathematical Finance · Quantitative Finance 2018-06-20 Lijun Bo , Agostino Capponi

Goal-based investing is concerned with reaching a monetary investment goal by a given finite deadline, which differs from mean-variance optimization in modern portfolio theory. In this article, we expand the close connection between…

Mathematical Finance · Quantitative Finance 2021-11-01 Thomas Krabichler , Marcus Wunsch

We provide a new dynamic approach to scenario generation for the purposes of risk management in the banking industry. We connect ideas from conventional techniques -- like historical and Monte Carlo simulation -- and we come up with a…

Risk Management · Quantitative Finance 2009-08-19 Juan-Pablo Ortega , Rainer Pullirsch , Josef Teichmann , Julian Wergieluk
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