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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…

投资组合管理 · 定量金融 2021-06-29 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

With the rise of emerging risks, model uncertainty poses a fundamental challenge in the insurance industry, making robust pricing a first-order question. This paper investigates how insurers' robustness preferences shape competitive…

风险管理 · 定量金融 2025-10-20 Shunzhi Pang

Life insurance cash flows become reserve dependent when contract conditions are modified during the contract term on condition that actuarial equivalence is maintained. As a result, insurance cash flows and prospective reserves depend on…

数理金融 · 定量金融 2021-12-22 Marcus C. Christiansen , Boualem Djehiche

We review Markov models of surplus in life insurance based on a counting process following Norberg (1991), uniting probabilistic theory with elements of practice largely drawn from UK experience. First, we organize models systematically…

证券定价 · 定量金融 2025-09-03 Oytun Haçarız , Torsten Kleinow , Angus S. Macdonald

Cost-of-capital valuation is a well-established approach to the valuation of liabilities and is one of the cornerstones of current regulatory frameworks for the insurance industry. Standard cost-of-capital considerations typically rely on…

风险管理 · 定量金融 2026-05-13 Hansjörg Albrecher , Filip Lindskog , Hervé Zumbach

Based on a point of view that solvency and security are first, this paper considers regular-singular stochastic optimal control problem of a large insurance company facing positive transaction cost asked by reinsurer under solvency…

风险管理 · 定量金融 2010-12-22 Zongxia Liang , Jicheng Yao

This paper considers an insurer with two collaborating business lines that must make three critical decisions: (1) dividend payout, (2) a combination of proportional and excess-of-loss reinsurance coverage, and (3) capital injection between…

最优化与控制 · 数学 2025-11-17 Tim J. Boonen , Engel John C. Dela Vega

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…

数理金融 · 定量金融 2022-06-13 Katia Colaneri , Julia Eisenberg , Benedetta Salterini

We develop a unified valuation theory that incorporates credit risk (defaults), collateralization and funding costs, by expanding the replication approach to a generality that has not yet been studied previously and reaching valuation when…

证券定价 · 定量金融 2018-03-01 Damiano Brigo , Cristin Buescu , Marco Francischello , Andrea Pallavicini , Marek Rutkowski

We study capital requirements for bounded financial positions defined as the minimum amount of capital to invest in a chosen eligible asset targeting a pre-specified acceptability test. We allow for general acceptance sets and general…

风险管理 · 定量金融 2014-01-16 Walter Farkas , Pablo Koch-Medina , Cosimo Munari

We consider a bivariate Cramer-Lundberg-type risk reserve process with the special feature that each insurance company agrees to cover the deficit of the other. It is assumed that the capital transfers between the companies are…

概率论 · 数学 2015-05-05 Jevgenijs Ivanovs , Onno Boxma

This paper studies a dynamic optimal reinsurance and dividend-payout problem for an insurance company in a finite time horizon. The goal of the company is to maximize the expected cumulative discounted dividend payouts until bankruptcy or…

数理金融 · 定量金融 2022-06-28 Chonghu Guan , Zuo Quan Xu , Rui Zhou

In this paper, we use replica analysis to determine the investment strategy that can maximize the net present value for portfolios containing multiple development projects. Replica analysis was developed in statistical mechanical…

投资组合管理 · 定量金融 2018-10-16 Takashi Shinzato

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…

最优化与控制 · 数学 2026-05-22 Zakaria Aljaberi , Asma Khedher , Mohamed Mnif

We consider the valuation problem of an (insurance) company under partial information. Therefore we use the concept of maximizing discounted future dividend payments. The firm value process is described by a diffusion model with constant…

数理金融 · 定量金融 2016-02-16 Gunther Leobacher , Michaela Szölgyenyi , Stefan Thonhauser

This paper is concerned with cost optimization of an insurance company. The surplus of the insurance company is modeled by a controlled regime switching diffusion, where the regime switching mechanism provides the fluctuations of the random…

最优化与控制 · 数学 2016-08-02 Chao Zhu

Autocalibration is known to be an important requirement for insurance premiums since it guarantees that premium income balances corresponding claims, on average, not only at portfolio level but also inside each group paying similar…

其他统计学 · 统计学 2026-03-18 Michel Denuit , Marie Michaelides , Julien Trufin

We consider the optimal risk transfer from an insurance company to a reinsurer. The problem formulation considered in this paper is closely connected to the optimal portfolio problem in finance, with some crucial distinctions. In…

最优化与控制 · 数学 2023-06-23 Benjamin Avanzi , Hayden Lau , Mogens Steffensen

Financial undertakings often have to deal with liabilities of the form 'non-hedgeable claim size times value of a tradeable asset', e.g. foreign property insurance claims times fx rates. Which strategy to invest in the tradeable asset is…

风险管理 · 定量金融 2020-11-30 Andreas Kunz , Markus Popp

Risk control and optimal diversification constitute a major focus in the finance and insurance industries as well as, more or less consciously, in our everyday life. We present a discussion of the characterization of risks and of the…

统计力学 · 物理学 2015-06-25 Didier Sornette