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We consider computation of market values of bonus payments in multi-state with-profit life insurance. The bonus scheme consists of additional benefits bought according to a dividend strategy that depends on the past realization of financial…

风险管理 · 定量金融 2023-11-07 Jamaal Ahmad , Kristian Buchardt , Christian Furrer

We determine the optimal amount of life insurance for a household of two wage earners. We consider the simple case of exponential utility, thereby removing wealth as a factor in buying life insurance, while retaining the relationship among…

投资组合管理 · 定量金融 2013-06-28 Erhan Bayraktar , Virginia R. Young

We find the optimal indemnity to maximize the expected utility of terminal wealth of a buyer of insurance whose preferences are modeled by an exponential utility. The insurance premium is computed by a convex functional. We obtain a…

数理金融 · 定量金融 2024-01-17 Jingyi Cao , Dongchen Li , Virginia R. Young , Bin Zou

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…

投资组合管理 · 定量金融 2011-02-14 I. Duarte , D. Pinheiro , A. A. Pinto , S. R. Pliska

We consider the insurance company as a physical system which is immersed in its environment (the financial market). The insurer company interacts with the market by exchanging the money through the payments for loss claims and receiving the…

统计力学 · 物理学 2008-12-10 Amir H. Darooneh

In this paper, we develop a deep neural network approach to solve a lifetime expected mortality-weighted utility-based model for optimal consumption in the decumulation phase of a defined contribution pension system. We formulate this…

综合金融 · 定量金融 2020-07-28 Wen Chen , Nicolas Langrené

It is shown that if the computer model of biological ageing proposed by Stauffer is modified such that the late reproduction is privileged then the Gompertz law of exponential increase of mortality can be retrieved.

统计力学 · 物理学 2009-11-07 Danuta Makowiec , Dietrich Stauffer , Mariusz Zielinski

We consider a diffusion approximation to an insurance risk model where an external driver models a stochastic environment. The insurer can buy reinsurance. Moreover, investment in a financial market is possible. The financial market is also…

数理金融 · 定量金融 2019-04-01 Matteo Brachetta , Hanspeter Schmidli

This paper considers an optimal life insurance for a householder subject to mortality risk. The household receives a wage income continuously, which is terminated by unexpected (premature) loss of earning power or (planned and intended)…

投资组合管理 · 定量金融 2011-05-03 Masahiko Egami , Hideki Iwaki

Insurance and annuity products covering several lives require the modelling of the joint distribution of future lifetimes. In the interest of simplifying calculations, it is common in practice to assume that the future lifetimes among a…

风险管理 · 定量金融 2016-01-19 François Dufresne , Enkelejd Hashorva , Gildas Ratovomirija , Youssouf Toukourou

In this article, we present several formulas that make it easier to compute the net single premiums when the mortality force over the fractional ages is assumed to be constant (C). More precisely, we compute the moments of the random…

Insurance companies make extensive use of Monte Carlo simulations in their capital and solvency models. To overcome the computational problems associated with Monte Carlo simulations, most large life insurance companies use proxy models…

计算金融 · 定量金融 2023-06-22 Lucio Fernandez-Arjona

The mathematical essence in life insurance spins around the search of the nu\-me\-ri\-cal characteristics of the random variables $T_x$, $\nu^{T_x}$, $T_x\nu^{T_x}$, etc., where $\nu$ (deterministic) denotes the discount multiplier and…

Using an extended version of the credit risk model CreditRisk+, we develop a flexible framework with numerous applications amongst which we find stochastic mortality modelling, forecasting of death causes as well as profit and loss…

风险管理 · 定量金融 2016-11-28 Jonas Hirz , Uwe Schmock , Pavel V. Shevchenko

We introduce a collective model for life insurance where the heterogeneity of each insured, including the health state, is modeled by a diffusion process. This model is influenced by concepts in statistical mechanics. Using the proposed…

综合金融 · 定量金融 2020-12-18 Jirô Akahori , Yuuki Ida , Maho Nishida , Shuji Tamada

This project works with the risk model developed by Li et al. (2015) and quests modelling, estimating and pricing insurance for risks brought in by innovative technologies, or other emerging or latent risks. The model considers two…

We consider an insurance company which faces financial risk in the form of insurance claims and market-dependent surplus fluctuations. The company aims to simultaneously control its terminal wealth (e.g. at the end of an accounting period)…

风险管理 · 定量金融 2025-11-24 Aleksandar Arandjelović , Julia Eisenberg

We consider the problem of seeking an optimal set of model points associated to a fixed portfolio of life insurance policies. Such an optimal set is characterized by minimizing a certain risk functional, which gauges the average discrepancy…

证券定价 · 定量金融 2020-03-24 Enrico Ferri

To pricing health insurance plan, statisticians use mathematical models to predict customers' future health condition. General Addictive Model (GAM) is a wide accepted method for this problem. However, it have several limitations. To solve…

应用统计 · 统计学 2013-07-25 Guanxi Zhuang

We determine how an individual can use life insurance to meet a bequest goal. We assume that the individual's consumption is met by an income, such as a pension, life annuity, or Social Security. Then, we consider the wealth that the…

投资组合管理 · 定量金融 2014-07-25 Erhan Bayraktar , David Promislow , Virginia Young
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