English
Related papers

Related papers: Optimal Insurance to Maximize Exponential Utility …

200 papers

This paper considers an insurer with two collaborating business lines, and the risk exposure of each line follows a diffusion risk model. The manager of the insurer makes three decisions for each line: (i) dividend payout, (ii)…

Optimization and Control · Mathematics 2025-08-12 Tim J. Boonen , Engel John C. Dela Vega , Bin Zou

We study a reinsurer who faces multiple sources of model uncertainty. The reinsurer offers contracts to $n$ insurers whose claims follow compound Poisson processes representing both idiosyncratic and systemic sources of loss. As the…

Risk Management · Quantitative Finance 2024-10-03 Emma Kroell , Sebastian Jaimungal , Silvana M. Pesenti

This contribution is concerned with price optimisation of the new business for a non-life product. Due to high competition in the insurance market, non-life insurers are interested in increasing their conversion rates on new business based…

Computational Finance · Quantitative Finance 2017-11-22 Maissa Tamraz , Yaming Yang

The problem of designing a profit-maximizing, Bayesian incentive compatible and individually rational mechanism with flexible consumers and costly heterogeneous supply is considered. In our setup, each consumer is associated with a…

Computer Science and Game Theory · Computer Science 2018-02-01 Shiva Navabi , Ashutosh Nayyar

In this paper the utility optimization problem for a general insurance model is studied. The reserve process of the insurance company is described by a stochastic differential equation driven by a Brownian motion and a Poisson random…

Probability · Mathematics 2009-09-01 Yuping Liu , Jin Ma

A differentially private selection algorithm outputs from a finite set the item that approximately maximizes a data-dependent quality function. The most widely adopted mechanisms tackling this task are the pioneering exponential mechanism…

Cryptography and Security · Computer Science 2022-08-05 Gonzalo Munilla Garrido , Florian Matthes

This paper concerns the dual risk model, dual to the risk model for insurance applications, where premiums are surplus-dependent. In such a model premiums are regarded as costs, while claims refer to profits. We calculate the mean of the…

Pricing of Securities · Quantitative Finance 2016-05-17 Ewa Marciniak , Zbigniew Palmowski

We consider a discrete-time version of the popular optimal dividend pay-out problem in risk theory. The novel aspect of our approach is that we allow for a risk averse insurer, i.e., instead of maximising the expected discounted dividends…

Probability · Mathematics 2015-12-02 Nicole Bäuerle , Anna Jaśkiewicz

A fundamental problem arising in many areas of machine learning is the evaluation of the likelihood of a given observation under different nominal distributions. Frequently, these nominal distributions are themselves estimated from data,…

Optimization and Control · Mathematics 2019-10-18 Viet Anh Nguyen , Soroosh Shafieezadeh-Abadeh , Man-Chung Yue , Daniel Kuhn , Wolfram Wiesemann

Constrained decision-making is essential for designing safe policies in real-world control systems, yet simulated environments often fail to capture real-world adversities. We consider the problem of learning a policy that will maximize the…

Machine Learning · Computer Science 2026-02-10 Sourav Ganguly , Kishan Panaganti , Arnob Ghosh , Adam Wierman

This paper studies Pareto-optimal reinsurance design in a monopolistic market with multiple primary insurers and a single reinsurer, all with heterogeneous risk preferences. The risk preferences are characterized by a family of risk…

Risk Management · Quantitative Finance 2025-12-15 Tim J. Boonen , Xia Han , Peng Liu , Jiacong Wang

Managing insurance and financial risk when data is limited is a key task in the insurance industry. In this paper, we focus on cases where the risk distribution is modeled as a mixture with some components estimable to high precision or…

Optimization and Control · Mathematics 2026-03-03 N. D. Shyamalkumar , Tianrun Wang

In this paper, we study two optimisation settings for an insurance company, under the constraint that the terminal surplus at a deterministic and finite time $T$ follows a normal distribution with a given mean and a given variance. In both…

Mathematical Finance · Quantitative Finance 2022-06-13 Katia Colaneri , Julia Eisenberg , Benedetta Salterini

In this paper, we study the problem of expected utility maximization of an agent who, in addition to an initial capital, receives random endowments at maturity. Contrary to previous studies, we treat as the variables of the optimization…

Probability · Mathematics 2008-12-10 Julien Hugonnier , Dmitry Kramkov

We study a robust maximization problem from terminal wealth and consumption under a convex constraints on the portfolio. We state the existence and the uniqueness of the consumption-investment strategy by studying the associated quadratic…

Probability · Mathematics 2014-09-23 Anis Matoussi , Hanen Mezghani , Mohamed Mnif

A convex envelope for the problem of finding the best approximation to a given matrix with a prescribed rank is constructed. This convex envelope allows the usage of traditional optimization techniques when additional constraints are added…

Functional Analysis · Mathematics 2016-08-30 Fredrik Andersson , Marcus Carlsson , Carl Olsson

Recently, Frazier et al. proposed a natural model for crowdsourced exploration of different a priori unknown options: a principal is interested in the long-term welfare of a population of agents who arrive one by one in a multi-armed bandit…

Computer Science and Game Theory · Computer Science 2015-12-29 Li Han , David Kempe , Ruixin Qiang

This paper studies a life-cycle optimal portfolio-consumption problem when the consumption performance is measured by a shortfall aversion preference with an additional drawdown constraint on consumption rate. Meanwhile, the agent also…

Optimization and Control · Mathematics 2022-10-21 Xun Li , Xiang Yu , Qinyi Zhang

In this paper, we assume an insure is allowed to purchase proportional reinsurance and can invest his or her wealth into the financial market where a savings account, stocks and bonds are available. Different from classical optimal…

Mathematical Finance · Quantitative Finance 2014-07-01 Xiaoxiao Zheng , Xin Zhang

This paper considers an insurance company that faces two key constraints: a ratcheting dividend constraint and an irreversible reinsurance constraint. The company allocates part of its reserve to pay dividends to its shareholders while…

Optimization and Control · Mathematics 2025-12-22 Tim J. Boonen , Engel John C. Dela Vega