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We analyze the potential of reinsurance for reversing the current trend of decreasing capital guarantees in life insurance products. Providing an insurer with an opportunity to shift part of the financial risk to a reinsurer, we solve the…

Mathematical Finance · Quantitative Finance 2025-05-21 Marcos Escobar-Anel , Yevhen Havrylenko , Michel Kschonnek , Rudi Zagst

In this article we consider the surplus process of an insurance company within the Cramer-Lundberg framework. We study the optimal reinsurance strategy and dividend distribution of an insurance company under proportional reinsurance, in…

Optimization and Control · Mathematics 2026-05-22 Zakaria Aljaberi , Asma Khedher , Mohamed Mnif

In this work the ruin probability of the Lundberg risk process is used as a criterion for determining the optimal security loading of premia in the presence of price-sensitive demand for insurance. Both single and aggregated claim processes…

Risk Management · Quantitative Finance 2021-08-24 Ragnar Levy Gudmundarson , Manuel Guerra , Alexandra Bugalho de Moura

In this paper, we study an optimal excess-of-loss reinsurance and investment problem for an insurer in defaultable market. The insurer can buy reinsurance and invest in the following securities: a bank account, a risky asset with stochastic…

Portfolio Management · Quantitative Finance 2017-04-27 Nian Yao , Zhiming Yang

The utilities consider public safety power shut-offs imperative for the mitigation of wildfire risk. This paper presents expansion planning of power system under fire hazard weather conditions. The power lines are quantified based on the…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Muhammad Waseem , Reza Bayani , Saeed D. Manshadi

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

This paper studies an optimal investment and risk control problem for an insurer with default contagion and regime-switching. The insurer in our model allocates his/her wealth across multi-name defaultable stocks and a riskless bond under…

Mathematical Finance · Quantitative Finance 2018-07-17 Lijun Bo , Huafu Liao , Yongjin Wang

Unemployment insurance provides temporary cash benefits to eligible unemployed workers. Benefits are sometimes extended by discretion during economic slumps. In a model that features temporary benefits and sequential job opportunities, a…

General Economics · Economics 2023-12-22 Rich Ryan

This paper explores an optimal investment and reinsurance problem involving both ordinary and catastrophe insurance businesses. The catastrophic events are modeled as following a compound Poisson process, impacting the ordinary insurance…

Optimization and Control · Mathematics 2023-11-01 Bohan Li , Junyi Guo , Xiaoqing Liang

We study the problem of maximising terminal utility for an agent facing model uncertainty, in a frictionless discrete-time market with one safe asset and finitely many risky assets. We show that an optimal investment strategy exists if the…

Mathematical Finance · Quantitative Finance 2020-07-10 Miklós Rásonyi , Andrea Meireles-Rodrigues

We study a stochastic differential game in a ruin theoretic environment. In our setting two insurers compete for market share, which is represented by a joint performance functional. Consequently, one of the insurers strives to maximize it,…

Optimization and Control · Mathematics 2025-03-27 Lea Enzi , Stefan Thonhauser

We propose a refinement of the maxmin approach to robustness. A mechanism's payoff guarantee over an ambiguity set is \emph{robust} if the guarantee is approximately satisfied at priors near the ambiguity set (in the weak topology). We show…

Theoretical Economics · Economics 2026-05-06 Ian Ball , Deniz Kattwinkel

In this paper we study the optimal investment and reinsurance problem of an insurance company whose investment preferences are described via a forward dynamic exponential utility in a regime-switching market model. Financial and actuarial…

Portfolio Management · Quantitative Finance 2021-06-29 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

A usual reinsurance policy for insurance companies admits one or two layers of the payment deductions. Under optimal criterion of minimizing the conditional tail expectation (CTE) risk measure of the insurer's total risk, this article…

Methodology · Statistics 2017-01-24 Amir T. Payandeh Najafabadi , Ali Panahi Bazaz

In this paper, we consider the optimal controller design problem against data injection attacks on actuators for an uncertain control system. We consider attacks that aim at maximizing the attack impact while remaining stealthy in the…

Optimization and Control · Mathematics 2022-09-09 Sribalaji C. Anand , André M. H. Teixeira

In this paper we study a class of insurance products where the policy holder has the option to insure $k$ of its annual Operational Risk losses in a horizon of $T$ years. This involves a choice of $k$ out of $T$ years in which to apply the…

Risk Management · Quantitative Finance 2013-12-03 Rodrigo S. Targino , Gareth W. Peters , Georgy Sofronov , Pavel V. Shevchenko

Most insurance contracts are inherently linked to financial markets, be it via interest rates, or -- as hybrid products like equity-linked life insurance and variable annuities -- directly to stocks or indices. However, insurance contracts…

Mathematical Finance · Quantitative Finance 2022-11-28 Philippe Artzner , Karl-Theodor Eisele , Thorsten Schmidt

Risk perceptions are essential in cyber insurance contracts. With the recent surge of information, human risk perceptions are exposed to the influences from both beneficial knowledge and fake news. In this paper, we study the role of the…

Cryptography and Security · Computer Science 2022-10-28 Shutian Liu , Quanyan Zhu

In this paper, we consider the problem of maximizing the expected discounted utility of dividend payments for an insurance company that controls risk exposure by purchasing proportional reinsurance. We assume the preference of the insurer…

Portfolio Management · Quantitative Finance 2017-05-08 Xiaoqing Liang , Zbigniew Palmowski

During the life of a wind farm, various types of costs arise. A large share of the operational cost for a wind farm is due to maintenance of the wind turbine equipment; these costs are especially pronounced for offshore wind farms and…

Optimization and Control · Mathematics 2021-05-17 Quanjiang Yu , Ann-Brith Strömberg