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Markov chains play a key role in a vast number of areas, including life insurance mathematics. Standard actuarial quantities as the premium value can be interpreted as compressed, lossy information about the underlying Markov process. We…

机器学习 · 计算机科学 2022-01-10 Mark Kiermayer , Christian Weiß

We develop a pricing rule for life insurance under stochastic mortality in an incomplete market by assuming that the insurance company requires compensation for its risk in the form of a pre-specified instantaneous Sharpe ratio. Our…

证券定价 · 定量金融 2008-12-02 Virginia R. Young

In this research, we present an analysis of the optimal investment, consumption, and life insurance acquisition problem for a wage earner with partial information. Our study considers the non-linear filter case where risky asset prices are…

最优化与控制 · 数学 2023-04-25 Woundjiagué Apollinaire , Rodwell Kufakunesu , Julius Esunge

In the paper, a mean-square minimization problem under terminal wealth constraint with partial observations is studied. The problem is naturally connected to the mean-variance hedging problem under incomplete information. A new approach to…

数理金融 · 定量金融 2017-04-24 Vitalii Makogin , Alexander Melnikov , Yuliya Mishura

All the financial practitioners are working in incomplete markets full of unhedgeable risk-factors. Making the situation worse, they are only equipped with the imperfect information on the relevant processes. In addition to the market risk,…

计算金融 · 定量金融 2014-07-29 Masaaki Fujii , Akihiko Takahashi

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…

数理金融 · 定量金融 2022-11-28 Philippe Artzner , Karl-Theodor Eisele , Thorsten Schmidt

Numerous empirical proofs indicate the adequacy of the time discrete auto-regressive stochastic volatility models introduced by Taylor in the description of the log-returns of financial assets. The pricing and hedging of contingent products…

证券定价 · 定量金融 2011-10-31 Joan del Castillo , Juan-Pablo Ortega

In life insurance, life tables are used to estimate the survival distribution of individuals from a given population. However, these tables only provide survival probabilities at integer ages but no information about the distribution of…

风险管理 · 定量金融 2026-03-19 Jean-Loup Dupret , Edouard Motte

Despite the high importance of grouping in practice, there exists little research on the respective topic. The present work presents a complete framework for grouping and a novel method to optimize model points. Model points are used to…

风险管理 · 定量金融 2019-12-23 Mark Kiermayer , Christian Weiß

Managing insurance and financial risk when data is limited is a key task in the insurance industry. In this paper, we focus on cases where the risk distribution is modeled as a mixture with some components estimable to high precision or…

最优化与控制 · 数学 2026-03-03 N. D. Shyamalkumar , Tianrun Wang

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…

理论经济学 · 经济学 2022-09-01 Vitor Farinha Luz

Economic variables play important roles in any economic model, and sudden and dramatic changes exist in the financial market and economy. For this reason, to price and hedge equity-linked life insurance products, including segregated funds…

数理金融 · 定量金融 2024-09-24 Battulga Gankhuu

This paper studies optimal insurance design under asymmetric information in a Stackelberg framework, where a monopolistic insurer faces uncertainty about both the insured's risk attitude, captured by a risk-aversion parameter, and the…

风险管理 · 定量金融 2026-04-20 Xia Han , Bin Li

We investigate the optimal reinsurance problem under the criterion of maximizing the expected utility of terminal wealth when the insurance company has restricted information on the loss process. We propose a risk model with claim arrival…

数理金融 · 定量金融 2020-05-15 Matteo Brachetta , Claudia Ceci

In this paper we use a hybrid Monte Carlo-Optimal quantization method to approximate the conditional survival probabilities of a firm, given a structural model for its credit defaul, under partial information. We consider the case when the…

计算金融 · 定量金融 2009-07-07 Giorgia Callegaro , Abass Sagna

We construct a binomial model for a guaranteed minimum withdrawal benefit (GMWB) rider to a variable annuity (VA) under optimal policyholder behaviour. The binomial model results in explicitly formulated perfect hedging strategies funded…

证券定价 · 定量金融 2016-07-07 Cody B. Hyndman , Menachem Wenger

We address the problem of survival regression modelling with multivariate responses and nonlinear covariate effects. Our model extends the proportional hazards model by introducing several weakly-parametric elements: the marginal baseline…

统计方法学 · 统计学 2025-10-16 Na Lei , Mark A. Wolters , Wenqing He

We study a finite horizon optimal contracting problem of a risk-neutral principal and a risk-averse agent who receives a stochastic income stream when the agent is unable to make commitments. The problem involves an infinite number of…

理论经济学 · 经济学 2019-01-14 Junkee Jeon , Hyeng Keun Koo , Kyunghyun Park

We consider a time-consistent mean-variance portfolio selection problem of an insurer and allow for the incorporation of basis (mortality) risk. The optimal solution is identified with a Nash subgame perfect equilibrium. We characterize an…

投资组合管理 · 定量金融 2019-08-16 Frank Bosserhoff , Mitja Stadje

Conditional risk minimization arises in high-stakes decisions where risk must be assessed in light of side information, such as stressed economic conditions, specific customer profiles, or other contextual covariates. Constructing reliable…

机器学习 · 统计学 2025-09-30 Xinqiao Xie , Jonathan Yu-Meng Li