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In this paper, we demonstrate through the use of matrix calculus a transparent analysis of fractional inhomogeneous Markov models for life insurance where transition matrices commute. The resulting formulae are intuitive matrix…

Probability · Mathematics 2021-10-25 Martin Bladt

In this paper, we study mid-cap companies, i.e. publicly traded companies with less than US $10 billion in market capitalisation. Using a large dataset of US mid-cap companies observed over 30 years, we look to predict the default…

General Finance · Quantitative Finance 2024-05-13 Kamesh Korangi , Christophe Mues , Cristián Bravo

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

Markov switching models are often used to analyze financial returns because of their ability to capture frequently observed stylized facts. In this paper we consider a multivariate Student-t version of the model as a viable alternative to…

Methodology · Statistics 2014-03-04 Mauro Bernardi , Antonello Maruotti , Lea Petrella

Probabilistic model-based diagnosis computes the posterior probabilities of failure of components from the prior probabilities of component failure and observations of system behavior. One problem with this method is that such priors are…

Artificial Intelligence · Computer Science 2013-02-21 Sampath Srinivas

The forecasting of the credit default risk has been an important research field for several decades. Traditionally, logistic regression has been widely recognized as a solution due to its accuracy and interpretability. As a recent trend,…

Computational Finance · Quantitative Finance 2022-09-22 Dangxing Chen , Weicheng Ye , Jiahui Ye

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

A model is developed to assess the profitability of loans or mortgages with a specified repayment schedule. Financial institutions face two competing risks: default and prepayment, both influenced by the stochastic evolution of credit…

Risk Management · Quantitative Finance 2025-08-12 Quirini Lorenzo , Vannucci Luigi , Quirini Giovanni

Microfinance, despite its significant potential for poverty reduction, is facing sustainability hardships due to high default rates. Although many methods in regular finance can estimate credit scores and default probabilities, these…

General Finance · Quantitative Finance 2022-12-13 Christian Kurniawan , Xiyu Deng , Adhiraj Chakraborty , Assane Gueye , Niangjun Chen , Yorie Nakahira

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

The paper shows how to determine the loss on an LGD borrower's loan after default, with or without preparation of a separate model. LGD after default is estimated taking into account the average repayment period of the defaulted loan,…

Risk Management · Quantitative Finance 2026-04-28 Pomazanov Mikhail

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

Filiz et al. (2008) proposed a model for the pattern of defaults seen among a group of firms at the end of a given time period. The ingredients in the model are a graph, where the vertices correspond to the firms and the edges describe the…

Computational Finance · Quantitative Finance 2010-08-16 Steven N. Evans , Alexandru Hening

We develop and evaluate a family of discrete-time logit-link (LLink) models (including fixed-effects and frailty extensions) to capture latent heterogeneity in repayment behaviour and quantify the effects of socio-temporal factors in…

Risk Management · Quantitative Finance 2025-08-12 Cedric H. A. Koffi , Viani Biatat Djeundje , Olivier Menoukeu Pamen

In this paper we consider a reduced-form intensity-based credit risk model with a hidden Markov state process. A filtering method is proposed for extracting the underlying state given the observation processes. The method may be applied to…

Computational Finance · Quantitative Finance 2016-03-10 Feng-Hui Yu , Wai-Ki Ching , Jia-Wen Gu , Tak-Kuen Siu

We develop an approach to time-consistent risk evaluation of continuous-time processes in Markov systems. Our analysis is based on dual representation of coherent risk measures, differentiability concepts for multivalued mappings, and a…

Optimization and Control · Mathematics 2017-01-31 Darinka Dentcheva , Andrzej Ruszczynski

Excessive leverage, i.e. the abuse of debt financing, is considered one of the primary factors in the default of financial institutions. Systemic risk results from correlations between individual default probabilities that cannot be…

Risk Management · Quantitative Finance 2013-03-25 Paolo Tasca , Pavlin Mavrodiev , Frank Schweitzer

Models for bankruptcy prediction are useful in several real-world scenarios, and multiple research contributions have been devoted to the task, based on structured (numerical) as well as unstructured (textual) data. However, the lack of a…

Computation and Language · Computer Science 2022-08-25 Henri Arno , Klaas Mulier , Joke Baeck , Thomas Demeester

In the peer to peer (P2P) lending platform, investors hope to maximize their return while minimizing the risk through a comprehensive understanding of the P2P market. A low and stable average default rate across all the borrowers denotes a…

Machine Learning · Computer Science 2020-09-11 Yan Wang , Xuelei Sherry Ni

The estimate of a Multiperiod probability of default applied to residential mortgages can be obtained using the mean of the observed default, so called the Mean of ratios estimator, or aggregating the default and the issued mortgages and…

Applications · Statistics 2014-09-18 Matteo Formenti
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