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Related papers: On Modeling Economic Default Time: A Reduced-Form …

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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

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

Corporate defaults may be triggered by some major market news or events such as financial crises or collapses of major banks or financial institutions. With a view to develop a more realistic model for credit risk analysis, we introduce a…

Computational Finance · Quantitative Finance 2013-01-03 Jia-Wen Gu , Wai-Ki Ching , Tak-Kuen Siu , Harry Zheng

There is empirical evidence that recovery rates tend to go down just when the number of defaults goes up in economic downturns. This has to be taken into account in estimation of the capital against credit risk required by Basel II to cover…

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

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

We propose a model for the credit markets in which the random default times of bonds are assumed to be given as functions of one or more independent "market factors". Market participants are assumed to have partial information about each of…

Pricing of Securities · Quantitative Finance 2012-01-31 Dorje C. Brody , Lane P. Hughston , Andrea Macrina

While defaults are rare events, losses can be substantial even for credit portfolios with a large number of contracts. Therefore, not only a good evaluation of the probability of default is crucial, but also the severity of losses needs to…

Risk Management · Quantitative Finance 2012-03-15 Alexander Becker , Alexander F. R. Koivusalo , Rudi Schäfer

The current research on credit risk is primarily focused on modeling default probabilities. Recovery rates are often treated as an afterthought; they are modeled independently, in many cases they are even assumed constant. This is despite…

Risk Management · Quantitative Finance 2012-10-16 Rudi Schäfer , Alexander F. R. Koivusalo

The classical reduced-form and filtration expansion framework in credit risk is extended to the case of multiple, non-ordered defaults, assuming that conditional densities of the default times exist. Intensities and pricing formulas are…

Risk Management · Quantitative Finance 2011-06-22 Younes Kchia , Martin Larsson

We compare observed corporate cumulative default probabilities to those calculated using a stochastic model based on an extension of the work of Black and Cox and find that corporations default as if via diffusive dynamics. The model, based…

Soft Condensed Matter · Physics 2008-12-02 Ting Lei , Raymond J. Hawkins

We present the qGaussian generalization of the Merton framework, which takes into account slow fluctuations of the volatility of the firms market value of financial assets. The minimal version of the model depends on the Tsallis entropic…

Risk Management · Quantitative Finance 2014-10-28 Yuri A. Katz

We propose two structural models for stochastic losses given default which allow to model the credit losses of a portfolio of defaultable financial instruments. The credit losses are integrated into a structural model of default events…

Risk Management · Quantitative Finance 2015-03-20 Simone Farinelli , Mykhaylo Shkolnikov

We investigate the impact of available information on the estimation of the default probability within a generalized structural model for credit risk. The traditional structural model where default is triggered when the value of the firm's…

Pricing of Securities · Quantitative Finance 2019-11-19 Imke Redeker , Ralf Wunderlich

We build a general model for pricing defaultable claims. In addition to the usual absence of arbitrage assumption, we assume that one defaultable asset (at least) looses value when the default occurs. We prove that under this assumption, in…

Pricing of Securities · Quantitative Finance 2010-05-04 Delia Coculescu

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

A standard quantitative method to access credit risk employs a factor model based on joint multivariate normal distribution properties. By extending a one-factor Gaussian copula model to make a more accurate default forecast, this paper…

Risk Management · Quantitative Finance 2020-10-07 Meng-Jou Lu , Cathy Yi-Hsuan Chen , Wolfgang Karl Härdle

The lifetime behaviour of loans is notoriously difficult to model, which can compromise a bank's financial reserves against future losses, if modelled poorly. Therefore, we present a data-driven comparative study amongst three techniques in…

Risk Management · Quantitative Finance 2026-04-22 Arno Botha , Tanja Verster , Roland Breedt

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

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 analyze the fluctuation of the loss from default around its large portfolio limit in a class of reduced-form models of correlated firm-by-firm default timing. We prove a weak convergence result for the fluctuation process and use it for…

Probability · Mathematics 2015-02-20 Konstantinos Spiliopoulos , Justin A. Sirignano , Kay Giesecke
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