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This work focuses on financial risks from a probabilistic point of view. The value of a firm is described as a geometric Brownian motion and default emerges as a first passage time event. On the technical side, the critical threshold that…

Mathematical Finance · Quantitative Finance 2025-07-14 Carlos Bouthelier-Madre , Carlos Escudero

As it is known in the finance risk and macroeconomics literature, risk-sharing in large portfolios may increase the probability of creation of default clusters and of systemic risk. We review recent developments on mathematical and…

Risk Management · Quantitative Finance 2015-02-20 Konstantinos Spiliopoulos

The Monte Carlo dropout method has proved to be a scalable and easy-to-use approach for estimating the uncertainty of deep neural network predictions. This approach was recently applied to Fault Detection and Di-agnosis (FDD) applications…

Machine Learning · Computer Science 2019-09-11 Baihong Jin , Yingshui Tan , Yuxin Chen , Alberto Sangiovanni-Vincentelli

Ant Credit Pay is a consumer credit service in Ant Financial Service Group. Similar to credit card, loan default is one of the major risks of this credit product. Hence, effective algorithm for default prediction is the key to losses…

Machine Learning · Computer Science 2020-04-02 Jianbin Lin , Zhiqiang Zhang , Jun Zhou , Xiaolong Li , Jingli Fang , Yanming Fang , Quan Yu , Yuan Qi

Multiple hypothesis testing is a fundamental problem in high dimensional inference, with wide applications in many scientific fields. In genome-wide association studies, tens of thousands of tests are performed simultaneously to find if any…

Methodology · Statistics 2011-11-16 Jianqing Fan , Xu Han , Weijie Gu

We propose a novel credit default model that takes into account the impact of macroeconomic information and contagion effect on the defaults of obligors. We use a set-valued Markov chain to model the default process, which is the set of all…

Risk Management · Quantitative Finance 2018-08-31 Dianfa Chen , Jun Deng , Jianfen Feng , Bin Zou

The recent "correlation breakdown" in the modeling of credit default swaps, in which model correlations had to exceed 100% in order to reproduce market prices of supersenior tranches, is analyzed and argued to be a fundamental market…

Pricing of Securities · Quantitative Finance 2009-09-01 Rodanthy Tzani , Alexios P. Polychronakos

For one-dimensional Jump-Drift and Jump-Diffusion processes converging towards some steady state, the large deviations of a long dynamical trajectory are described from two perspectives. Firstly, the joint probability of the empirical…

Statistical Mechanics · Physics 2021-08-17 Cecile Monthus

We investigate the utility in employing asymptotic results related to a clustering criterion to the problem of testing for the presence of jumps in financial models. We consider the Jump Diffusion model for option pricing and demonstrate…

Statistics Theory · Mathematics 2013-10-08 Karthik Bharath , Vladimir Pozdnyakov , Dipak. K. Dey

First passage models, where corporate assets undergo a random walk and default occurs if the assets fall below a threshold, provide an attractive framework for modeling the default process. Recently such models have been generalized to…

Condensed Matter · Physics 2007-05-23 Peter B. Lee , Mark B. Wise , Vineer Bhansali

Credit default poses significant challenges to financial institutions and consumers, resulting in substantial financial losses and diminished trust. As such, credit default risk management has been a critical topic in the financial…

Computational Engineering, Finance, and Science · Computer Science 2026-01-21 Yuanhong Wu , Jingyan Xu , Wei Ye , Christina Schweikert , D. Frank Hsu

The two main approaches in credit risk are the structural approach pioneered in Merton (1974) and the reduced-form framework proposed in Jarrow & Turnbull (1995) and in Artzner & Delbaen (1995). The goal of this article is to provide a…

Mathematical Finance · Quantitative Finance 2015-07-14 Frank Gehmlich , Thorsten Schmidt

We consider the intensity-based approach for the modeling of default times of one or more companies. In this approach the default times are defined as the jump times of a Cox process, which is a Poisson process conditional on the…

Computational Finance · Quantitative Finance 2008-12-02 Vincent Leijdekker , Peter Spreij

We design a system for risk-analyzing and pricing portfolios of non-performing consumer credit loans. The rapid development of credit lending business for consumers heightens the need for trading portfolios formed by overdue loans as a…

Risk Management · Quantitative Finance 2021-10-29 Siyi Wang , Xing Yan , Bangqi Zheng , Hu Wang , Wangli Xu , Nanbo Peng , Qi Wu

In this paper, we propose a method that provides a useful technique to compare relationship between risks involved that takes customer become defaulter and debt collection process that might make this defaulter recovered. Through estimation…

Applications · Statistics 2014-08-20 Mauro R. Oliveira , Francisco Louzada

We introduce a new method to calculate the credit exposure of European and path-dependent options. The proposed method is able to calculate accurate expected exposure and potential future exposure profiles under the risk-neutral and the…

Computational Finance · Quantitative Finance 2019-12-04 Kathrin Glau , Ricardo Pachon , Christian Pötz

This paper studies the valuation of a class of default swaps with the embedded option to switch to a different premium and notional principal anytime prior to a credit event. These are early exercisable contracts that give the protection…

Pricing of Securities · Quantitative Finance 2015-03-17 Tim Siu-Tang Leung , Kazutoshi Yamazaki

We investigate the convergence of hitting times for jump-diffusion processes. Specifically, we study a sequence of stochastic differential equations with jumps. Under reasonable assumptions, we establish the convergence of solutions to the…

Probability · Mathematics 2015-10-09 Georgiy Shevchenko

It is a well known fact that recovery rates tend to go down when the number of defaults goes up in economic downturns. We demonstrate how the loss given default model with the default and recovery dependent via the latent systematic risk…

Risk Management · Quantitative Finance 2014-11-03 Xiaolin Luo , Pavel V. Shevchenko

We review recent progress in modeling credit risk for correlated assets. We start from the Merton model which default events and losses are derived from the asset values at maturity. To estimate the time development of the asset values, the…

Risk Management · Quantitative Finance 2018-03-02 Andreas Mühlbacher , Thomas Guhr
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