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This paper presents comparison results and establishes risk bounds for credit portfolios within classes of Bernoulli mixture models, assuming conditionally independent defaults that are stochastically increasing with a common risk factor.…

Risk Management · Quantitative Finance 2025-12-24 Jonathan Ansari , Eva Lütkebohmert

Based on a point of view that solvency and security are first, this paper considers regular-singular stochastic optimal control problem of a large insurance company facing positive transaction cost asked by reinsurer under solvency…

Risk Management · Quantitative Finance 2010-12-22 Zongxia Liang , Jicheng Yao

Loss reserving generally focuses on identifying a single model that can generate superior predictive performance. However, different loss reserving models specialise in capturing different aspects of loss data. This is recognised in…

Methodology · Statistics 2024-06-04 Benjamin Avanzi , Yanfeng Li , Bernard Wong , Alan Xian

We introduce a statistical model for operational losses based on heavy-tailed distributions and bipartite graphs, which captures the event type and business line structure of operational risk data. The model explicitly takes into account…

Risk Management · Quantitative Finance 2019-02-11 Oliver Kley , Claudia Klüppelberg , Sandra Paterlini

The purpose of this research article is to discover how the econophysics analysis can complement the econometrics models in application to the risk management in the central banks and financial institutions, operating within the nonlinear…

General Finance · Quantitative Finance 2012-11-20 Dimitri O. Ledenyov , Viktor O. Ledenyov

We study market-consistent valuation of liability cash flows motivated by current regulatory frameworks for the insurance industry. Building on the theory on multiple-prior optimal stopping we propose a valuation functional with sound…

Pricing of Securities · Quantitative Finance 2021-09-02 Hampus Engsner , Filip Lindskog , Julie Thoegersen

We develop quantile regression models in order to derive risk margin and to evaluate capital in non-life insurance applications. By utilizing the entire range of conditional quantile functions, especially higher quantile levels, we detail…

Risk Management · Quantitative Finance 2014-02-12 Alice X. D. Dong , Jennifer S. K. Chan , Gareth W. Peters

In this paper, we generalise the results presented in the literature for the ruin probability for the insurer--reinsurer model under a pro-rata reinsurance contract. We consider claim amounts that are described by a phase-type distribution…

Mathematical Finance · Quantitative Finance 2023-03-15 Krzysztof Burnecki , Zbigniew Palmowski , Marek Teuerle , Aleksandra Wilkowska

In this paper we develop a novel methodology for estimation of risk capital allocation. The methodology is rooted in the theory of risk measures. We work within a general, but tractable class of law-invariant coherent risk measures, with a…

Risk Management · Quantitative Finance 2019-11-25 Tomasz R. Bielecki , Igor Cialenco , Marcin Pitera , Thorsten Schmidt

We investigate the quantification of demographic risk in a framework consistent with the market-consistent valuation imposed by Solvency II. We provide compact formulas for evaluating inflows and outflows of a portfolio of insurance…

Risk Management · Quantitative Finance 2023-07-07 Francesco Della Corte , Gian Paolo Clemente , Nino Savelli

This paper studies Pareto-optimal reinsurance design in a monopolistic market with multiple primary insurers and a single reinsurer, all with heterogeneous risk preferences. The risk preferences are characterized by a family of risk…

Risk Management · Quantitative Finance 2025-12-15 Tim J. Boonen , Xia Han , Peng Liu , Jiacong Wang

Capital allocation is a procedure for quantifying the contribution of each source of risk to aggregated risk. The gradient allocation rule, also known as the Euler principle, is a prevalent rule of capital allocation under which the…

Risk Management · Quantitative Finance 2024-06-28 Takaaki Koike , Cathy W. S. Chen , Edward M. H. Lin

Trade credit insurance (TCI) is a specialized line of property and casualty insurance, protecting businesses against financial losses due to buyer's insolvency. Predictive modeling for TCI claims poses formidable challenges due to the…

Applications · Statistics 2025-09-26 Woongchae Yoo , Spark C. Tseung , Tsz Chai Fung

The objective of this work is the investigation of complexity, asymmetry, stochasticity and non-linearity of the financial and economic systems by using the tools of statistical mechanics and information theory. More precisely, this thesis…

Statistical Finance · Quantitative Finance 2024-08-30 Rubina Zadourian

We introduce a stochastic model that describes the quasi-static dynamics of an electric transmission network under perturbations introduced by random load fluctuations, random removing of system components from service, random repair times…

Physics and Society · Physics 2007-05-23 Marian Anghel , Kenneth A. Werley , Adilson E. Motter

Claim reserving in insurance has been studied through two primary frameworks: the macro-level approach, which estimates reserves at an aggregate level (e.g., Chain-Ladder), and the micro-level approach, which estimates reserves at the…

Methodology · Statistics 2025-02-24 Sebastian Calcetero Vanegas , Andrei L. Badescu , X. Sheldon Lin

This article is part of a comprehensive research project on liquidity risk in asset management, which can be divided into three dimensions. The first dimension covers liability liquidity risk (or funding liquidity) modeling, the second…

Risk Management · Quantitative Finance 2021-05-19 Thierry Roncalli , Amina Cherief , Fatma Karray-Meziou , Margaux Regnault

The aim of this paper is to introduce a method for computing the allocated Solvency II Capital Requirement (SCR) of each Risk which the company is exposed to, taking in account for the diversification effect among different risks. The…

Risk Management · Quantitative Finance 2015-11-11 Ivan Granito , Paolo De Angelis

Modeling the dependence between multiple risk types is a central challenge in contemporary insurance risk management. The standard approaches, L\'evy copulas and zero-mixed models, often face practical difficulties in simulation and…

Risk Management · Quantitative Finance 2026-05-26 Roberto Baviera , Pietro Manzoni , Michele Domenico Massaria

As a physical fact, randomness is an inherent and ineliminable aspect in all physical measurements and engineering production. As a consequence, material parameters, serving as input data, are only known in a stochastic sense and thus, also…

Computational Engineering, Finance, and Science · Computer Science 2023-11-22 Hendrik Geisler , Cem Erdogan , Jan Nagel , Philipp Junker