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We construct and study market models admitting optimal arbitrage. We say that a model admits optimal arbitrage if it is possible, in a zero-interest rate setting, starting with an initial wealth of 1 and using only positive portfolios, to…

Pricing of Securities · Quantitative Finance 2013-12-19 Huy N. Chau , Peter Tankov

We model the behavioral biases of human decision-making in securing interdependent systems and show that such behavioral decision-making leads to a suboptimal pattern of resource allocation compared to non-behavioral (rational)…

Cryptography and Security · Computer Science 2020-11-25 Mustafa Abdallah , Daniel Woods , Parinaz Naghizadeh , Issa Khalil , Timothy Cason , Shreyas Sundaram , Saurabh Bagchi

Major events like natural catastrophes or the COVID-19 crisis have impact both on the financial market and on claim arrival intensities and claim sizes of insurers. Thus, when optimal investment and reinsurance strategies have to be…

Portfolio Management · Quantitative Finance 2025-10-16 Nicole Bäuerle , Gregor Leimcke

Life assurance companies typically possess a wealth of data covering multiple systems and databases. These data are often used for analyzing the past and for describing the present. Taking account of the past, the future is mostly…

Machine Learning · Statistics 2022-02-21 Andreas Groll , Carsten Wasserfuhr , Leonid Zeldin

We study optimal proportional reinsurance and investment strategies for an insurance company which experiences both ordinary and catastrophic claims and wishes to maximize the expected exponential utility of its terminal wealth. We propose…

Portfolio Management · Quantitative Finance 2021-05-18 Claudia Ceci , Katia Colaneri , Alessandra Cretarola

In this paper we investigate the hedging problem of a unit-linked life insurance contract via the local risk-minimization approach, when the insurer has a restricted information on the market. In particular, we consider an endowment…

Mathematical Finance · Quantitative Finance 2017-09-26 Claudia Ceci , Katia Colaneri , Alessandra Cretarola

In this paper, we study the exponential utility indifference pricing of pure endowment policies within a stochastic-factor model for an insurer who also invests in a financial market. Our framework incorporates a hazard rate modeled as an…

Portfolio Management · Quantitative Finance 2025-07-30 Alessandra Cretarola , Benedetta Salterini

In this paper, we consider the robust optimal reinsurance investment problem of the insurer under the $\alpha$-maxmin mean-variance criterion in the defaultable market. The financial market consists of risk-free bonds, a stock and a…

Optimization and Control · Mathematics 2021-12-09 Min Zhang , Yong He

Within the context of traditional life insurance, a model-independent relationship about how the market value of assets is attributed to the best estimate, the value of in-force business and tax is established. This relationship holds true…

Risk Management · Quantitative Finance 2019-11-14 Simon Hochgerner , Florian Gach

We introduce a general decision tree framework to value an option to invest/divest in a project, focusing on the model risk inherent in the assumptions made by standard real option valuation methods. We examine how real option values depend…

General Finance · Quantitative Finance 2018-09-06 Carol Alexander , Xi Chen

The paper is about developing a solver for maximizing a real-valued function of binary variables. The solver relies on an algorithm that estimates the optimal objective-function value of instances from the underlying distribution of…

Machine Learning · Computer Science 2025-11-05 Nimrod Megiddo , Segev Wasserkrug , Orit Davidovich , Shimrit Shtern

We find the minimum probability of lifetime ruin of an investor who can invest in a market with a risky and a riskless asset and who can purchase a reversible life annuity. The surrender charge of a life annuity is a proportion of its…

Risk Management · Quantitative Finance 2010-01-26 Ting Wang , Virginia R. Young

We consider a continuous time Principal-Agent model on a finite time horizon, where we look for the existence of an optimal contract both parties agreed on. Contrary to the main stream, where the principal is modelled as risk-neutral, we…

Optimization and Control · Mathematics 2018-06-06 Kerem Ugurlu

Existing approaches to asset-pricing under model-uncertainty adapt classical utility-maximization frameworks and seek theoretical comprehensiveness. We move toward practice by considering binary model-risks and by emphasizing 'constraints'…

Mathematical Finance · Quantitative Finance 2025-10-10 Ken Kangda Wren

While $\mathcal{H}_\infty$ methods can introduce robustness against worst-case perturbations, their nominal performance under conventional stochastic disturbances is often drastically reduced. Though this fundamental tradeoff between…

Systems and Control · Electrical Eng. & Systems 2023-05-29 Bruce D. Lee , Thomas T. C. K. Zhang , Hamed Hassani , Nikolai Matni

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 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

Humans exhibit time-inconsistent behavior, in which planned actions diverge from executed actions. Understanding time inconsistency and designing appropriate interventions is a key research challenge in computer science and behavioral…

Computer Science and Game Theory · Computer Science 2025-09-18 Yasunori Akagi , Takeshi Kurashima

Human decision-making in real-life deviates significantly from the optimal decisions made by fully rational agents, primarily due to computational limitations or psychological biases. While existing studies in behavioral finance have…

Artificial Intelligence · Computer Science 2024-03-12 Penghang Liu , Kshama Dwarakanath , Svitlana S Vyetrenko , Tucker Balch

We study optimal reinsurance in the framework of stochastic game theory, in which there is an insurer and two reinsurers. A Stackelberg model is established to analyze the non-cooperative relationship between the insurer and reinsurers,…

Mathematical Finance · Quantitative Finance 2023-05-02 Liyuan Lin , Fangda Liu , Jingzhen Liu abd Luyang Yu