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We study investment and insurance demand decisions for an agent in a theoretical continuous-time expected utility maximization model that combines risky assets with an (exogenous) insurable background risk. This risk takes the form of a…

Mathematical Finance · Quantitative Finance 2023-03-09 Hugo E. Ramirez , Rafael Serrano

This paper analyzes the equilibrium of insurance market in a dynamic setting, focusing on the interaction between insurers' underwriting and investment strategies. Three possible equilibrium outcomes are identified: a positive insurance…

Theoretical Economics · Economics 2025-04-11 Bingzheng Chen , Zongxia Liang , Shunzhi Pang

In this paper we develop a symbolic technique to obtain asymptotic expressions for ruin probabilities and discounted penalty functions in renewal insurance risk models when the premium income depends on the present surplus of the insurance…

Computational Finance · Quantitative Finance 2013-08-15 Hansjörg Albrecher , Corina Constantinescu , Zbigniew Palmowski , Georg Regensburger , Markus Rosenkranz

We analyze the limiting behavior of the risk premium associated with the Pareto optimal risk sharing contract in an infinitely expanding pool of risks under a general class of law-invariant risk measures encompassing rank-dependent utility…

Risk Management · Quantitative Finance 2021-07-06 Thomas Knispel , Roger J. A. Laeven , Gregor Svindland

The so-called risk diversification principle is analyzed, showing that its convenience depends on individual characteristics of the risks involved and the dependence relationship among them. ----- Se analiza el principio de…

Risk Management · Quantitative Finance 2016-09-12 Arturo Erdely

We provide an axiomatic approach to general premium principles in a probability-free setting that allows for Knightian uncertainty. Every premium principle is the sum of a risk measure, as a generalization of the expected value, and a…

Risk Management · Quantitative Finance 2020-12-21 Max Nendel , Frank Riedel , Maren Diane Schmeck

This study introduces a dynamic investment framework to enhance portfolio management in volatile markets, offering clear advantages over traditional static strategies. Evaluates four conventional approaches : equal weighted, minimum…

Portfolio Management · Quantitative Finance 2025-04-07 Jinhui Li , Wenjia Xie , Luis Seco

It is well established that in a market with inclusion of a risk-free asset the single-period mean-variance efficient frontier is a straight line tangent to the risky region, a fact that is the very foundation of the classical CAPM. In this…

Portfolio Management · Quantitative Finance 2009-06-08 Chun Hung Chiu , Xun Yu Zhou

In this manuscript we propose a method for pricing insurance products that cover not only traditional risks, but also unforeseen ones. By considering the Poisson process parameter to be a mixed random variable, we capture the heterogeneity…

General Finance · Quantitative Finance 2020-08-10 Weihong Ni , Corina Constantinescu , Alfredo Egídio dos Reis , Véronique Maume-Deschamps

In this paper, we consider an optimal reinsurance problem to minimize the probability of drawdown for the scaled Cram\'er-Lundberg risk model when the reinsurance premium is computed according to the mean-variance premium principle. We…

Optimization and Control · Mathematics 2022-01-04 Pablo Azcue , Xiaoqing Liang , Nora Muler , Virginia R. Young

In this paper we study the optimal investment and reinsurance problem of an insurance company whose investment preferences are described via a forward dynamic exponential utility in a regime-switching market model. Financial and actuarial…

Portfolio Management · Quantitative Finance 2021-06-29 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

Risk diversification is one of the dominant concerns for portfolio managers. Various portfolio constructions have been proposed to minimize the risk of the portfolio under some constrains including expected returns. We propose a portfolio…

Portfolio Management · Quantitative Finance 2019-02-20 Yusuke Uchiyama , Takanori Kadoya , Kei Nakagawa

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…

Mathematical Finance · Quantitative Finance 2016-02-16 Gunther Leobacher , Michaela Szölgyenyi , Stefan Thonhauser

We propose a method for extending a given asset pricing formula to account for two additional sources of risk: the risk associated with future changes in market--calibrated parameters and the remaining risk associated with idiosyncratic…

Disordered Systems and Neural Networks · Physics 2008-12-02 T. R. Hurd

Weather parametric insurance relies on weather indices rather than actual loss assessments, enhancing claims efficiency, reducing moral hazard, and improving fairness. In the context of increasing climate change risks, despite growing…

Risk Management · Quantitative Finance 2024-09-26 Hang Gao , Shuohua Yang , Xinli Liu

The basic principle of any version of insurance is the paradigm that exchanging risk by sharing it in a pool is beneficial for the participants. In case of independent risks with a finite mean this is the case for risk averse decision…

Risk Management · Quantitative Finance 2025-10-08 Alfred Müller

In the market place, diversification reduces risk and provides protection against extreme events by ensuring that one is not overly exposed to individual occurrences. We argue that diversification is best measured by characteristics of the…

Portfolio Management · Quantitative Finance 2011-02-24 Ulrich Kirchner , Caroline Zunckel

This paper enhances the pricing of derivatives as well as optimal control problems to a level comprising risk. We employ nested risk measures to quantify risk, investigate the limiting behavior of nested risk measures within the classical…

Mathematical Finance · Quantitative Finance 2021-02-16 Alois Pichler , Ruben Schlotter

The net-premium principle is considered to be the most genuine and fair premium principle in actuarial applications. However, an insurance company, applying the net-premium principle, goes bankrupt with probability one in the long run, even…

Risk Management · Quantitative Finance 2013-04-03 Alois Pichler

This paper investigates the benefits of incorporating diversification effects into the pricing process of insurance policies from two different business lines. The paper shows that, for the same risk reduction, insurers pricing policies…

Theoretical Economics · Economics 2025-08-20 Hamza Hanbali