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Under the Basel II standards, the Operational Risk (OpRisk) advanced measurement approach allows a provision for reduction of capital as a result of insurance mitigation of up to 20%. This paper studies the behaviour of different insurance…

Risk Management · Quantitative Finance 2010-11-04 Gareth W. Peters , Aaron D. Byrnes , Pavel V. Shevchenko

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 study an optimal reinsurance-investment problem in a risk model with two dependent classes of insurance business, where the two claim number processes are correlated through a common shock component. We assume that the…

Optimization and Control · Mathematics 2020-10-26 Xia Han , Zhibin Liang

We consider an investor who wants to select her/his optimal consumption, investment and insurance policies. Motivated by new insurance products, we allow not only the financial marke but also the insurable loss to depend on the regime of…

Risk Management · Quantitative Finance 2014-06-25 Bin Zou , Abel Cadenillas

We introduce an extension to Merton's famous continuous time model of optimal consumption and investment, in the spirit of previous works by Pliska and Ye, to allow for a wage earner to have a random lifetime and to use a portion of the…

Portfolio Management · Quantitative Finance 2011-02-14 I. Duarte , D. Pinheiro , A. A. Pinto , S. R. Pliska

I analyze long-term contracting in insurance markets with asymmetric information. The buyer privately observes her risk type, which evolves stochastically over time. A long-term contract specifies a menu of insurance policies, contingent on…

Theoretical Economics · Economics 2022-09-01 Vitor Farinha Luz

Under the Basel II standards, the Operational Risk (OpRisk) advanced measurement approach is not prescriptive regarding the class of statistical model utilised to undertake capital estimation. It has however become well accepted to utlise a…

Risk Management · Quantitative Finance 2011-02-18 Gareth W. Peters , Pavel Shevchenko , Mark Young , Wendy Yip

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…

Optimization and Control · Mathematics 2025-11-17 Tim J. Boonen , Engel John C. Dela Vega

This paper researches the problem of purchasing deferred term insurance in the context of financial planning to maximize the probability of achieving a personal financial goal. Specifically, our study starts from the perspective of hedging…

Portfolio Management · Quantitative Finance 2023-01-11 Yuqi Li , Lihua Zhang

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

This paper examines the retirement decision, optimal investment, and consumption strategies under an age-dependent force of mortality. We formulate the optimization problem as a combined stochastic control and optimal stopping problem with…

Optimization and Control · Mathematics 2023-11-22 Giorgio Ferrari , Shihao Zhu

We study a continuous-time asset-allocation problem for an insurance firm that backs up liabilities from multiple non-life business lines with underwriting profits and investment income. The insurance risks are captured via a…

Portfolio Management · Quantitative Finance 2021-08-13 Rafael Serrano , Camilo Castillo

We investigate an optimal reinsurance problem for an insurance company facing a constant fixed cost when the reinsurance contract is signed. The insurer needs to optimally choose both the starting time of the reinsurance contract and the…

Mathematical Finance · Quantitative Finance 2021-01-14 Matteo Brachetta , Claudia Ceci

We develop a class of non-life reserving models using a stable-1/2 random bridge to simulate the accumulation of paid claims, allowing for an essentially arbitrary choice of a priori distribution for the ultimate loss. Taking an…

General Finance · Quantitative Finance 2015-03-17 Edward Hoyle , Lane P. Hughston , Andrea Macrina

We study an infinite-horizon optimal investment, consumption and insurance problem for an economic agent who consumes a perishable and a durable good. The agent trades in a risk-free asset, a risky asset, and a durable good whose price…

General Economics · Economics 2025-12-09 Aleksandar Arandjelović , Ryle S. Perera , Pavel V. Shevchenko , Tak Kuen Siu , Jin Sun

This paper describes the structure of optimal policies for discounted periodic-review single-commodity total-cost inventory control problems with fixed ordering costs for finite and infinite horizons. There are known conditions in the…

Optimization and Control · Mathematics 2017-05-30 Eugene A. Feinberg , Yan Liang

The present paper addresses the issue of the stochastic control of the optimal dynamic reinsurance policy and dynamic dividend strategy, which are state-dependent, for an insurance company that operates under multiple insurance lines of…

Optimization and Control · Mathematics 2020-02-11 Khaled Masoumifard , Mohammad Zokaei

We present a general approach to the pricing of products in finance and insurance in the multi-period setting. It is a combination of the utility indifference pricing and optimal intertemporal risk allocation. We give a characterization of…

Pricing of Securities · Quantitative Finance 2008-12-02 Kei Fukuda , Akihiko Inoue , Yumiharu Nakano

In this article, we employ a principal-agent model to analyze optimal contract design in a monopolistic reinsurance market under adverse selection with a continuum of insurer types. Instead of using the classical expected utility framework,…

Risk Management · Quantitative Finance 2026-01-06 Ka Chun Cheung , Sheung Chi Phillip Yam , Fei Lung Yuen , Yiying Zhang

We study the problem of optimal risk policies and dividend strategies for an insurance company operating under the constraint that the timing of shareholder payouts is governed by the arrival times of a Poisson process. Concurrently, risk…

Optimization and Control · Mathematics 2025-02-19 Mark Kelbert , Harold A. Moreno-Franco
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