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The main purpose of this work is to derive a partial differential equation for the reserves of life insurance liabilities subject to stochastic interest rates where the benefits and premiums depend directly on changes in the interest rate…

Risk Management · Quantitative Finance 2021-01-01 David R. Baños

Insurance data can be asymmetric with heavy tails, causing inadequate adjustments of the usually applied models. To deal with this issue, hierarchical models for collective risk with heavy-tails of the claims distributions that take also…

Applications · Statistics 2021-01-26 Pamela M. Chiroque-Solano , Fernando A. S. Moura

In this paper, we build on the techniques developed in Albrecher et al. (2013), to generate initial-boundary value problems for ruin probabilities of surplus-dependent premium risk processes, under a renewal case scenario, Erlang (2) claim…

Probability · Mathematics 2021-01-12 Corina Constantinescu , Zbigniew Palmowski , Jing Wang

Parametric insurance contracts translate index measurements to compensation for policyholders' losses using predefined payment schemes. These need to be designed carefully to keep basis risk, i.e. the disparity between payouts and true…

Applications · Statistics 2026-04-24 Markus Johannes Maier , Matthias Scherer

We consider the optimal reinsurance problem from the point of view of a direct insurer owning several dependent risks, assuming a maximal expected utility criterion and independent negotiation of reinsurance for each risk. Without any…

Probability · Mathematics 2021-06-16 Manuel Guerra , Alexandra B. Moura

Our goal is to compute a policy that guarantees improved return over a baseline policy even when the available MDP model is inaccurate. The inaccurate model may be constructed, for example, by system identification techniques when the true…

Optimization and Control · Mathematics 2015-06-17 Yinlam Chow , Marek Petrik , Mohammad Ghavamzadeh

Keeping risk under control is often more crucial than maximizing expected rewards in real-world decision-making situations, such as finance, robotics, autonomous driving, etc. The most natural choice of risk measures is variance, which…

Machine Learning · Computer Science 2023-03-09 Xiaoteng Ma , Shuai Ma , Li Xia , Qianchuan Zhao

It is well-known that Excess-of-Loss reinsurance has more marketability than Stop-Loss reinsurance, though Stop-Loss reinsurance is the most prominent setting discussed in the optimal (re)insurance design literature. We point out that…

Applications · Statistics 2024-05-02 Ernest Aboagye , Vali Asimit , Tsz Chai Fung , Liang Peng , Qiuqi Wang

Dynamic, risk-based pricing can systematically exclude vulnerable consumer groups from essential resources such as health insurance and consumer credit. We show that a regulator can realign private incentives with social objectives through…

Artificial Intelligence · Computer Science 2025-06-05 Jesse Thibodeau , Hadi Nekoei , Afaf Taïk , Janarthanan Rajendran , Golnoosh Farnadi

In real-world decision-making problems, for instance in the fields of finance, robotics or autonomous driving, keeping uncertainty under control is as important as maximizing expected returns. Risk aversion has been addressed in the…

Machine Learning · Computer Science 2019-12-09 Lorenzo Bisi , Luca Sabbioni , Edoardo Vittori , Matteo Papini , Marcello Restelli

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

We study the problem of pricing variable annuities with a multi-layer expense strategy, under which the insurer charges fees from the policyholder's account only when the account value lies in some pre-specified disjoint intervals, where on…

Probability · Mathematics 2015-12-14 Jiang Zhou , Lan Wu

We address the problem of making a pre-trained reinforcement learning (RL) policy safety-aware by incorporating cost constraints without retraining it from scratch. While costs could be numerically encoded, we assume a more general setting…

Machine Learning · Computer Science 2026-05-21 Richa Verma , Bavish Kulur , Sanjay Chawla , Balaraman Ravindran

This paper is concerned with an optimal reinsurance and investment problem for an insurance firm under the criterion of mean-variance. The driving Brownian motion and the rate in return of the risky asset price dynamic equation cannot be…

Optimization and Control · Mathematics 2020-06-04 Shihao Zhu , Jingtao Shi

In this paper we consider reinsurance or risk sharing from a macroeconomic point of view. Our aim is to find socially optimal reinsurance treaties. In our setting we assume that there are $n$ insurance companies each bearing a certain risk…

Risk Management · Quantitative Finance 2021-07-21 Nicole Bäuerle , Alexander Glauner

We studied the behavior and variation of utility between the two conflicting players in a closed Nash-equilibrium loop. Our modeling approach also captured the nexus between optimal premium strategizing and firm performance using the…

Theoretical Economics · Economics 2023-11-21 Leonard Mushunje , David Edmund Allen

We focus on model risk and risk sensitivity when addressing the insurability of cyber risk. The standard statistical approaches to assessment of insurability and potential mispricing are enhanced in several aspects involving consideration…

Risk Management · Quantitative Finance 2023-03-30 Gareth W. Peters , Matteo Malavasi , Georgy Sofronov , Pavel V. Shevchenko , Stefan Trück , Jiwook Jang

This paper studies the optimal investment problem with random endowment in an inventory-based price impact model with competitive market makers. Our goal is to analyze how price impact affects optimal policies, as well as both pricing rules…

Mathematical Finance · Quantitative Finance 2018-12-10 Michail Anthropelos , Scott Robertson , Konstantinos Spiliopoulos

In variable selection, most existing screening methods focus on marginal effects and ignore dependence between covariates. To improve the performance of selection, we incorporate pairwise effects in covariates for screening and…

Methodology · Statistics 2019-02-12 Siliang Gong , Kai Zhang , Yufeng Liu

The distribution of health care payments to insurance plans has substantial consequences for social policy. Risk adjustment formulas predict spending in health insurance markets in order to provide fair benefits and health care coverage for…

Applications · Statistics 2021-02-25 Anna Zink , Sherri Rose