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In this paper, we study a continuous time structural asset value model for two correlated firms using a two-dimensional Brownian motion. We consider the situation of incomplete information, where the information set available to the market…

Mathematical Finance · Quantitative Finance 2016-01-28 Wai-Ki Ching , Jia-Wen Gu , Harry Zheng

A Value-at-Risk based model is proposed to compute the adequate equity capital necessary to cover potential losses due to operational risks, such as human and system process failures, in banking organizations. Exploring the analogy to a…

Statistical Mechanics · Physics 2009-11-07 Reimer Kuehn , Peter Neu

We consider financial networks, where banks are connected by contracts such as debts or credit default swaps. We study the clearing problem in these systems: we want to know which banks end up in a default, and what portion of their…

Computational Engineering, Finance, and Science · Computer Science 2020-11-23 Pál András Papp , Roger Wattenhofer

Based on the work of Suzuki (2002), we consider a generalization of Merton's asset valuation approach (Merton, 1974) in which two firms are linked by cross-ownership of equity and liabilities. Suzuki's results then provide no arbitrage…

Risk Management · Quantitative Finance 2015-01-30 Sabine Karl , Tom Fischer

Predicting potential credit default accounts in advance is challenging. Traditional statistical techniques typically cannot handle large amounts of data and the dynamic nature of fraud and humans. To tackle this problem, recent research has…

Machine Learning · Computer Science 2018-07-04 Sheikh Rabiul Islam , William Eberle , Sheikh Khaled Ghafoor

Motivated by the detection of cascades of defaults in economy, we developed a detection framework for an endogenous spreading based on causal motifs we define in this paper. We assume that the change of state of a vertex can be triggered by…

Physics and Society · Physics 2021-12-09 Irena Barjašić , Hrvoje Štefančić , Vedrana Pribičević , Vinko Zlatić

This article aims to explore an empirical approach to analyze the macroeconomicsdeterminants of default of borrowers. For this purpose, we have measured the impact of the adverse economic conditions on the degradation of the credit…

Statistical Finance · Quantitative Finance 2018-03-29 Anas Yassine , Abdelmadjid Ibenrissoul

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

We show that stochastic recovery always leads to counter-intuitive behaviors in the risk measures of a CDO tranche - namely, continuity on default and positive credit spread risk cannot be ensured simultaneously. We then propose a simple…

Pricing of Securities · Quantitative Finance 2010-12-03 Emmanuel Schertzer , Yadong Li , Umer Khan

In this paper we introduce a generalized extension of the Eisenberg-Noe model of financial contagion to allow for time dynamics of the interbank liabilities, including a dynamic examination of default risk. This framework separates the cash…

Mathematical Finance · Quantitative Finance 2024-06-28 Tathagata Banerjee , Alex Bernstein , Zachary Feinstein

In this paper we develop a tractable structural model with analytical default probabilities depending on some dynamics parameters, and we show how to calibrate the model using a chosen number of Credit Default Swap (CDS) market quotes. We…

Pricing of Securities · Quantitative Finance 2009-12-17 Damiano Brigo , Marco Tarenghi

How to forecast next year's portfolio-wide credit default rate based on last year's default observations and the current score distribution? A classical approach to this problem consists of fitting a mixture of the conditional score…

Machine Learning · Statistics 2014-11-21 Dirk Tasche

In this work we develop a tractable structural model with analytical default probabilities depending on a random default barrier and possibly random volatility ideally associated with a scenario based underlying firm debt. We show how to…

Pricing of Securities · Quantitative Finance 2009-12-17 Damiano Brigo , Marco Tarenghi

In this paper, we developed the Merton's structural model for public companies under an assumption that liabilities of the companies are observed. Using Campbell and Shiller's approximation method, we obtain formulas of risk-neutral equity…

Risk Management · Quantitative Finance 2024-09-24 Battulga Gankhuu

This paper provides an alternative approach to Duffie and Lando [Econometrica 69 (2001) 633-664] for obtaining a reduced form credit risk model from a structural model. Duffie and Lando obtain a reduced form model by constructing an economy…

Probability · Mathematics 2008-12-02 Umut Cetin , Robert Jarrow , Philip Protter , Yildiray Yildirim

This paper presents a meta-learning framework for credit risk assessment of Italian Small and Medium Enterprises (SMEs) that explicitly addresses the temporal misalignment of credit scoring models. The approach aligns financial statement…

Risk Management · Quantitative Finance 2026-01-13 O. Didkovskyi , A. Vidali , N. Jean , G. Le Pera

We consider a compartmental model to study the evolution of the number of regular customers and referral customers in some corporation. Transitions between compartments are modeled by parameters depending on the social network and the…

Dynamical Systems · Mathematics 2015-03-11 César M. Silva , Silvério Rosa , Helena Alves , Pedro G. Carvalho

Under the International Financial Reporting Standards (IFRS) 9, credit losses ought to be recognised timeously and accurately. This requirement belies a certain degree of dynamicity when estimating the constituent parts of a credit loss…

Risk Management · Quantitative Finance 2025-12-16 Arno Botha , Tanja Verster

Corporate insolvency can have a devastating effect on the economy. With an increasing number of companies making expansion overseas to capitalize on foreign resources, a multinational corporate bankruptcy can disrupt the world's financial…

Statistical Finance · Quantitative Finance 2018-02-16 Jacky C. K. Chow

The proposed model is aimed to reveal important patterns in the behavior of a simplified financial system. The patterns could be detected as regular cycles consisting of debt bubbles and crises. Financial cycles have a well defined…

General Finance · Quantitative Finance 2016-09-19 Alexander Smirnov