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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…

证券定价 · 定量金融 2009-04-16 T. R. Hurd

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…

统计金融 · 定量金融 2011-02-14 T. R. Hurd , Zhuowei Zhou

We develop a generalization of the Black-Cox structural model of default risk. The extended model captures uncertainty related to firm's ability to avoid default even if company's liabilities momentarily exceeding its assets. Diffusion in a…

风险管理 · 定量金融 2011-01-05 Yuri A. Katz , Nikolai V. Shokhirev

Diffusion in a linear potential in the presence of position-dependent killing is used to mimic a default process. Different assumptions regarding transport coefficients, initial conditions, and elasticity of the killing measure lead to…

计算金融 · 定量金融 2015-05-30 Yuri A. Katz

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…

计算金融 · 定量金融 2008-12-02 Vincent Leijdekker , Peter Spreij

This paper presents a convenient framework for modeling default process and pricing derivative securities involving credit risk. The framework provides an integrated view of credit valuation adjustment by linking distance-to-default,…

证券定价 · 定量金融 2023-09-08 David Xiao

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…

软凝聚态物质 · 物理学 2008-12-02 Ting Lei , Raymond J. Hawkins

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,…

概率论 · 数学 2021-10-05 Mohamed Erraoui , Astrid Hilbert , Mohammed Louriki

We consider a market model where there are two levels of information. The public information generated by the financial assets, and a larger flow of information that contains additional knowledge about a random time. This random time can…

数理金融 · 定量金融 2018-05-30 Tahir Choulli , Catherine Daveloose , Michèle Vanmaele

In the pursuit of modelling a loan's probability of default (PD) over its lifetime, repeat default events are often ignored when using Cox Proportional Hazard (PH) models. Excluding such events may produce biased and inaccurate…

风险管理 · 定量金融 2026-01-29 Arno Botha , Tanja Verster , Bernard Scheepers

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…

证券定价 · 定量金融 2012-01-31 Dorje C. Brody , Lane P. Hughston , Andrea Macrina

We propose a unified framework for equity and credit risk modeling, where the default time is a doubly stochastic random time with intensity driven by an underlying affine factor process. This approach allows for flexible interactions…

证券定价 · 定量金融 2014-02-19 Claudio Fontana , Juan Miguel A. Montes

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…

概率论 · 数学 2016-09-13 Matteo L. Bedini , Michael Hinz

The issue of model risk in default modeling has been known since inception of the Academic literature in the field. However, a rigorous treatment requires a description of all the possible models, and a measure of the distance between a…

数理金融 · 定量金融 2019-06-17 Roberto Fontana , Elisa Luciano , Patrizia Semeraro

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…

风险管理 · 定量金融 2011-06-22 Younes Kchia , Martin Larsson

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…

证券定价 · 定量金融 2019-11-19 Imke Redeker , Ralf Wunderlich

This paper develops a continuous-time filtering framework for estimating a hazard rate subject to an unobservable change-point. This framework naturally arises in both financial and insurance applications, where the default intensity of a…

数理金融 · 定量金融 2026-01-12 Matteo Buttarazzi , Claudia Ceci

In the aftermath of the global financial crisis, much attention has been paid to investigating the appropriateness of the current practice of default risk modeling in banking, finance and insurance industries. A recent empirical study by…

计算金融 · 定量金融 2013-06-28 Jia-Wen Gu , Bo Jiang , Wai-Ki Ching , Harry Zheng

We introduce a novel class of credit risk models in which the drift of the survival process of a firm is a linear function of the factors. The prices of defaultable bonds and credit default swaps (CDS) are linear-rational in the factors.…

数理金融 · 定量金融 2019-07-23 Damien Ackerer , Damir Filipović

A new procedure is presented for the objective comparison and evaluation of default definitions. This allows the lender to find a default threshold at which the financial loss of a loan portfolio is minimised, in accordance with Basel II.…

风险管理 · 定量金融 2021-03-01 Arno Botha , Conrad Beyers , Pieter de Villiers
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