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This paper investigates risk measures derived from the expected maximum deficit in a continuous-time framework and develops optimal reserve allocation strategies across multiple lines of business. We formalize the expected maximum deficit…

风险管理 · 定量金融 2026-05-19 Claude Lefevre , Pierre Zuyderhoff

We study an optimal reinsurance problem under a diffusion risk model for an insurer who aims to minimize the probability of lifetime ruin. To rule out moral hazard issues, we only consider moral-hazard-free reinsurance contracts by imposing…

数理金融 · 定量金融 2023-04-19 Zhuo Jin , Zuo Quan Xu , Bin Zou

We consider the problem of optimal consumption from labor income and investment in a general incomplete semimartingale market. The economic agent cannot borrow against future income, so the total wealth is required to be positive at (all or…

概率论 · 数学 2019-01-29 Oleksii Mostovyi , Mihai Sîrbu

We are witnessing an increasing use of data-driven predictive models to inform decisions. As decisions have implications for individuals and society, there is increasing pressure on decision makers to be transparent about their decision…

We assume that an individual invests in a financial market with one riskless and one risky asset, with the latter's price following a diffusion with stochastic volatility. In the current financial market especially, it is important to…

投资组合管理 · 定量金融 2011-05-06 Erhan Bayraktar , Xueying Hu , Virginia R. Young

We study paycheck optimization, which examines how to allocate income in order to achieve several competing financial goals. For paycheck optimization, a quantitative methodology is missing, due to a lack of a suitable problem formulation.…

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…

数理金融 · 定量金融 2018-07-17 Lijun Bo , Huafu Liao , Yongjin Wang

In this paper, we develop an expected utility model for the retirement behavior in the decumulation phase of Australian retirees with sequential family status subject to consumption, housing, investment, bequest and government provided…

经济学 · 定量金融 2016-06-30 Johan G. Andreasson , Pavel V. Shevchenko , Alex Novikov

In this work, we address the optimal retirement problem in the presence of a stochastic wage, formulated as a free boundary problem. Specifically, we explore an incomplete market setting where the wage cannot be perfectly hedged through…

数理金融 · 定量金融 2025-03-04 Daniele Marazzina

This paper studies the robust optimal gain selection problem for financial trading systems, formulated within a \emph{double linear policy} framework, which allocates capital across long and short positions. The key objective is to…

系统与控制 · 电气工程与系统科学 2025-01-20 Chung-Han Hsieh

This paper focuses on stochastic orders and its applications : policy limits and deductibles. Further, many applications and some examples are given : comparison of two families of copulas, individual and collective risk model, reinsurance…

统计理论 · 数学 2015-01-28 Halim Zeghdoudi , Meriem Bouhadjar , Mohamed Riad Remita

The question of pricing and hedging a given contingent claim has a unique solution in a complete market framework. When some incompleteness is introduced, the problem becomes however more difficult. Several approaches have been adopted in…

概率论 · 数学 2007-08-08 Pauline Barrieu , Nicole El Karoui

A theoretical method is empirically illustrated in finding the best time to forsake a loan such that the overall credit loss is minimised. This is predicated by forecasting the future cash flows of a loan portfolio up to the contractual…

风险管理 · 定量金融 2022-03-25 Arno Botha , Conrad Beyers , Pieter de Villiers

Empirical researchers and decision-makers spanning various domains frequently seek profound insights into the long-term impacts of interventions. While the significance of long-term outcomes is undeniable, an overemphasis on them may…

机器学习 · 计算机科学 2024-09-17 Peng Wu , Ziyu Shen , Feng Xie , Zhongyao Wang , Chunchen Liu , Yan Zeng

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 study the optimal excess-of-loss reinsurance problem when both the intensity of the claims arrival process and the claim size distribution are influenced by an exogenous stochastic factor. We assume that the insurer's surplus is governed…

数理金融 · 定量金融 2019-04-12 Matteo Brachetta , Claudia Ceci

In this paper, we study the robust optimal investment and risk control problem for an insurer who owns the insider information about the financial market and the insurance market under model uncertainty. Both financial risky asset process…

数值分析 · 数学 2022-07-15 Chao Yu , Yuhan Cheng , Yilun Song

This study investigates an optimal investment problem for an insurance company operating under the Cramer-Lundberg risk model, where investments are made in both a risky asset and a risk-free asset. In contrast to other literature that…

数理金融 · 定量金融 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos

We consider an equity-linked contract whose payoff depends on the lifetime of policy holder and the stock price. We assume the limited capital for hedging and we provide with the best strategy for an insurance company in the meaning of so…

风险管理 · 定量金融 2014-05-06 Klusik Przemyslaw

This paper considers the optimal dividend payment problem in piecewise-deterministic compound Poisson risk models. The objective is to maximize the expected discounted dividend payout up to the time of ruin. We provide a comparative study…

最优化与控制 · 数学 2016-08-02 Runhuan Feng , Hans Volkmer , Shuaiqi Zhang , Chao Zhu