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In general insurance companies, a correct estimation of liabilities plays a key role due to its impact on management and investing decisions. Since the Financial Crisis of 2007-2008 and the strengthening of regulation, the focus is not only…

Risk Management · Quantitative Finance 2022-05-17 Eduardo Ramos-Pérez , Pablo J. Alonso-González , José Javier Núñez-Velázquez

This paper develops a structural credit risk model to characterize the difference between the economic and recorded default times for a firm. Recorded default occurs when default is recorded in the legal system. The economic default time is…

Risk Management · Quantitative Finance 2015-03-17 Xin Guo , Robert A Jarrow , Adrien de Larrard

We introduce a dynamic and stochastic interbank model with an endogenous notion of distress contagion, arising from rational worries about future defaults and ensuing losses. This entails a mark-to-market valuation adjustment for interbank…

Mathematical Finance · Quantitative Finance 2025-02-27 Zachary Feinstein , Andreas Sojmark

SOFR derivatives market remains illiquid and incomplete so it is not amenable to classical risk-neutral term structure models which are based on the assumption of perfect liquidity and completeness. This paper develops a statistical SOFR…

Statistical Finance · Quantitative Finance 2026-02-18 Teemu Pennanen , Waleed Taoum

Evaluation of systemic risk in networks of financial institutions in general requires information of inter-institution financial exposures. In the framework of Debt Rank algorithm, we introduce an approximate method of systemic risk…

Risk Management · Quantitative Finance 2021-04-14 Sebastian M. Krause , Hrvoje Štefančić , Vinko Zlatić , Guido Caldarelli

Motivated by the interplay between structural and reduced form credit models, we propose to model the firm value process as a time-changed Brownian motion that may include jumps and stochastic volatility effects, and to study the first…

Pricing of Securities · Quantitative Finance 2009-04-16 T. R. Hurd

For more than a half-century, credit risk management has used credit scoring models in each of its well-defined stages to manage credit risk. Application scoring is used to decide whether to grant a credit or not, while behavioral scoring…

Social and Information Networks · Computer Science 2022-04-14 Ricardo Muñoz-Cancino , Cristián Bravo , Sebastián A. Ríos , Manuel Graña

Discrimination between non-stationarity and long-range dependency is a difficult and long-standing issue in modelling financial time series. This paper uses an adaptive spectral technique which jointly models the non-stationarity and…

Statistical Finance · Quantitative Finance 2019-02-12 Nick James , Roman Marchant , Richard Gerlach , Sally Cripps

In this paper, we consider statistical estimation of time-inhomogeneous aggregate Markov models. Unaggregated models, which corresponds to Markov chains, are commonly used in multi-state life insurance to model the biometric states of an…

Statistics Theory · Mathematics 2023-08-11 Jamaal Ahmad , Mogens Bladt

The scope of financial systemic risk research encompasses a wide range of interbank channels and effects, including asset correlation shocks, default contagion, illiquidity contagion, and asset fire sales. This paper introduces a financial…

General Finance · Quantitative Finance 2016-09-23 Thomas R. Hurd , Davide Cellai , Sergey Melnik , Quentin Shao

For credit risk management purposes in general, and for allocation of regulatory capital by banks in particular (Basel II), numerical assessments of the credit-worthiness of borrowers are indispensable. These assessments are expressed in…

Other Condensed Matter · Physics 2008-12-02 Katja Pluto , Dirk Tasche

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

A problem of optimal debt management is modeled as a noncooperative game between a borrower and a pool of lenders, in infinite time horizon with exponential discount. The yearly income of the borrower is governed by a stochastic process.…

Optimization and Control · Mathematics 2016-09-26 Alberto Bressan , Antonio Marigonda , Khai T. Nguyen , Michele Palladino

A direct method for calculating default rates by industry and target corporate segments is not possible given the lack of statistical data. The proposed paper considers a model for filtering the dynamics of the probability of default of…

Risk Management · Quantitative Finance 2022-05-14 Mikhail Pomazanov

Credit scoring is an essential tool used by global financial institutions and credit lenders for financial decision making. In this paper, we introduce a new method based on Gaussian Mixture Model (GMM) to forecast the probability of…

General Economics · Economics 2020-11-17 Hamidreza Arian , Seyed Mohammad Sina Seyfi , Azin Sharifi

To quantify the changes in the credit rating of a bond is an important mathematical problem for the credit rating industry. To think of the credit rating as the state a Markov chain is an interesting proposal leading to challenges in…

Computational Finance · Quantitative Finance 2025-03-20 Henryk Gzyl , Silvia Mayoral

We build a 167-indicator comprehensive credit risk indicator set, integrating macro, corporate financial, bond-specific indicators, and for the first time, 30 large-scale corporate non-financial indicators. We use seven machine learning…

General Economics · Economics 2025-09-24 Yanran Wu , Xinlei Zhang , Quanyi Xu , Qianxin Yang , Chao Zhang

We develop a model for credit rating migration that accounts for the impact of economic state fluctuations on default probabilities. The joint process for the economic state and the rating is modelled as a time-homogeneous Markov chain.…

Risk Management · Quantitative Finance 2024-03-25 Michael Kalkbrener , Natalie Packham

Predicting future operational risk losses gives rise to a significant challenge due to the heterogeneous and time-dependent structures present in real-world data. Furthermore, stress test exercises require examining the relationship with…

Risk Management · Quantitative Finance 2026-04-24 Nikeethan Selvaratnam , Dorinel Bastide , Clément Fernandes , Wojciech Pieczynski

Accurate prediction of loan defaults is a central challenge in credit risk management, particularly in modern financial datasets characterised by nonlinear relationships, class imbalance, and evolving borrower behaviour. Traditional…