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We consider the problem of making a networked system contracting by designing minimal effort local controllers. Our method combines a hierarchical contraction characterization and a matrix-balancing approach to stabilizing a Metzler matrix…

最优化与控制 · 数学 2022-03-22 Ron Ofir , Francesco Bullo , Michael Margaliot

In this paper we consider an infinite time horizon risk-sensitive optimal stopping problem for a Feller--Markov process with an unbounded terminal cost function. We show that in the unbounded case an associated Bellman equation may have…

最优化与控制 · 数学 2022-11-01 Damian Jelito , Łukasz Stettner

This paper explores the estimation of a panel data model with cross-sectional interaction that is flexible both in its approach to specifying the network of connections between cross-sectional units, and in controlling for unobserved…

计量经济学 · 经济学 2021-11-23 Ayden Higgins , Federico Martellosio

We present an algorithm producing a dynamic non-self-financing hedging strategy in an incomplete market corresponding to investor-relevant risk criterion. The optimization is a two stage process that first determines admissible model…

统计理论 · 数学 2008-12-10 N. Josephy , L. Kimball , A. Nagaev , M. Pasniewski , V. Steblovskaya

We consider the mean-variance hedging problem under partial Information. The underlying asset price process follows a continuous semimartingale and strategies have to be constructed when only part of the information in the market is…

概率论 · 数学 2008-12-10 M. Mania , R. Tevzadze , T. Toronjadze

Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

统计方法学 · 统计学 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

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

Dependence among multiple lifetimes is a key factor for pricing and evaluating the risk of joint life insurance products. The dependence structure can be exposed to model uncertainty when available data and information are limited. We…

风险管理 · 定量金融 2026-03-30 Takaaki Koike

The classical B\"{u}hlmann credibility model has been widely applied to premium estimation for group insurance contracts and other insurance types. In this paper, we develop a robust B\"{u}hlmann credibility model using the winsorized…

应用统计 · 统计学 2024-07-23 Qian Zhao , Chudamani Poudyal

Bringing together nonlinear optimization with polyhedral and integrality constraints enables versatile modeling, but poses significant computational challenges. We investigate a method to address these problems based on sequential…

最优化与控制 · 数学 2024-10-08 Alberto De Marchi

In this paper, we assume an insure is allowed to purchase proportional reinsurance and can invest his or her wealth into the financial market where a savings account, stocks and bonds are available. Different from classical optimal…

数理金融 · 定量金融 2014-07-01 Xiaoxiao Zheng , Xin Zhang

High quality risk adjustment in health insurance markets weakens insurer incentives to engage in inefficient behavior to attract lower-cost enrollees. We propose a novel methodology based on Markov Chain Monte Carlo methods to improve risk…

机器学习 · 统计学 2019-09-17 Adolfo Quiroz , Simón Ramírez-Amaya , Álvaro Riascos

Empirical studies with publicly available life tables identify long-range dependence (LRD) in national mortality data. Although the longevity market is supposed to benchmark against the national force of mortality, insurers are more…

风险管理 · 定量金融 2025-03-13 Mei Choi Chiu , Ling Wang , Hoi Ying Wong

We propose a robust risk measurement approach that minimizes the expectation of overestimation plus underestimation costs. We consider uncertainty by taking the supremum over a collection of probability measures, relating our approach to…

风险管理 · 定量金融 2020-10-27 Marcelo Brutti Righi , Fernanda Maria Müller , Marlon Ruoso Moresco

The empirical loss, commonly referred to as the average loss, is extensively utilized for training machine learning models. However, in order to address the diverse performance requirements of machine learning models, the use of the…

最优化与控制 · 数学 2024-01-04 Rufeng Xiao , Yuze Ge , Rujun Jiang , Yifan Yan

In this paper, we study a stochastic optimal control problem with stochastic volatility. We prove the sufficient and necessary maximum principle for the proposed problem. Then we apply the results to solve an investment, consumption and…

投资组合管理 · 定量金融 2018-08-15 Rodwell Kufakunesu , Calisto Guambe

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 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…

综合金融 · 定量金融 2015-03-17 Edward Hoyle , Lane P. Hughston , Andrea Macrina

This paper investigates the finite horizon risk-sensitive portfolio optimization in a regime-switching credit market with physical and information-induced default contagion. It is assumed that the underlying regime-switching process has…

投资组合管理 · 定量金融 2021-07-28 Lijun Bo , Huafu Liao , Xiang Yu

In this paper, we investigate risk minimization problem of derivatives based on non-tradable underlyings by means of dynamic g-expectations which are slight different from conditional g-expectations. In this framework, inspired by [1] and…

投资组合管理 · 定量金融 2012-08-13 Tianxiao Wang