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Survival analysis has become a standard approach for modelling time to default by time-varying covariates in credit risk. Unlike most existing methods that implicitly assume a stationary data-generating process, in practise, mortgage…

Machine Learning · Statistics 2026-01-29 Jianwei Peng , Stefan Lessmann

We present two methodologies on the estimation of rating transition probabilities within Markov and non-Markov frameworks. We first estimate a continuous-time Markov chain using discrete (missing) data and derive a simpler expression for…

Risk Management · Quantitative Finance 2020-02-04 Marius Pfeuffer , Goncalo dos Reis , Greig smith

Since the Great Financial Crisis (GFC), the use of stress tests as a tool for assessing the resilience of financial institutions to adverse financial and economic developments has increased significantly. One key part in such exercises is…

Econometrics · Economics 2022-02-08 Martin Guth

Predicting corporate default risk has long been a crucial topic in the finance field, as bankruptcies impose enormous costs on market participants as well as the economy as a whole. This paper aims to forecast frailty correlated default…

Risk Management · Quantitative Finance 2023-08-22 Ha Nguyen

This study proposes a stochastic model for loss-given-default (LGD) which provides the LGD distribution based on credit market and company-specific financial conditions. The model utilizes last passage time of a linear diffusion…

Risk Management · Quantitative Finance 2025-11-04 Masahiko Egami , Rusudan Kevkhishvili

We consider structural credit modeling in the important special case where the log-leverage ratio of the firm is a time-changed Brownian motion (TCBM) with the time-change taken to be an independent increasing process. Following the…

Statistical Finance · Quantitative Finance 2011-02-14 T. R. Hurd , Zhuowei Zhou

We give a comprehensive review of credit term structure modeling methodologies. The conventional approach to modeling credit term structure is summarized and shown to be equivalent to a particular type of the reduced form credit risk model,…

Pricing of Securities · Quantitative Finance 2009-12-29 Arthur M. Berd

The present paper provides a multi-period contagion model in the credit risk field. Our model is an extension of Davis and Lo's infectious default model. We consider an economy of n firms which may default directly or may be infected by…

Risk Management · Quantitative Finance 2010-02-01 Didier Rullière , Diana Dorobantu , Areski Cousin

The estimation of marginal loan write-off probabilities is a non-trivial task when modelling the loss given default (LGD) risk parameter in credit risk. We explore two types of survival models in estimating the overall write-off probability…

Risk Management · Quantitative Finance 2026-03-13 Arno Botha , Mohammed Gabru , Marcel Muller , Janette Larney

Credit risk assessment is a crucial aspect of financial decision-making, enabling institutions to predict the likelihood of default and make informed lending decisions. Two prominent methodologies in credit risk modeling are logistic…

Applications · Statistics 2026-04-30 Cheng Lee , Hsi Lee

We consider an approach to credit risk in which the information about the time of bankruptcy is modelled using a Brownian bridge that starts at zero and is conditioned to equal zero when the default occurs. This raises the question whether…

Probability · Mathematics 2016-09-13 Matteo L. Bedini , Michael Hinz

We develop a finite horizon continuous time market model, where risk averse investors maximize utility from terminal wealth by dynamically investing in a risk-free money market account, a stock written on a default-free dividend process,…

Pricing of Securities · Quantitative Finance 2011-12-23 Agostino Capponi , Martin Larsson

The present paper introduces a structural framework to model dependent defaults, with a particular interest in their contagion.

Mathematical Finance · Quantitative Finance 2017-08-29 Jiro Akahori , Hai Ha Pham

The main purpose of this paper is to extend the information-based asset-pricing framework of Brody-Hughston-Macrina to a more general set-up. We include a wider class of models for market information and in contrast to the original paper,…

Probability · Mathematics 2021-10-05 Mohamed Erraoui , Astrid Hilbert , Mohammed Louriki

The purpose of this paper is to identify a relevant statistical correlation between rate of default, RD, and loss given default, LGD, in a major Brazilian financial institution Retail Home Equity exposure rated using the IRB approach, so…

Risk Management · Quantitative Finance 2014-08-14 Mauro R. Oliveira , Armando Chinelatto Neto

We consider the problem of governing systemic risk in a banking system model. The banking system model consists in an initial value problem for a system of stochastic differential equations whose dependent variables are the log-monetary…

Risk Management · Quantitative Finance 2018-12-19 Lorella Fatone , Francesca Mariani

In this paper, we introduce a model that adds a non-linearity to discounting: the discounting factor may depend on the notional (i.e., discounted values are no longer linear in the notional). In the first part of the paper, we provide a…

Mathematical Finance · Quantitative Finance 2021-10-26 Christian P. Fries

In this paper, a geometric function is introduced to reflect the attenuation speed of impact of one firm's default to its partner. If two firms are competitions (copartners), the default intensity of one firm will decrease (increase)…

Risk Management · Quantitative Finance 2008-12-02 Yunfen Bai , Xinhua Hu , Zhongxing Ye

Methods for detecting structural changes, or change points, in time series data are widely used in many fields of science and engineering. This chapter sketches some basic methods for the analysis of structural changes in time series data.…

Statistical Finance · Quantitative Finance 2018-08-28 Christian Kleiber

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