2012
DOI: 10.4236/jmf.2012.24033
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CreditGrades Framework within Stochastic Covariance Models

Abstract: In this paper we study a multivariate extension of a structural credit risk model, the CreditGrades model, under the assumption of stochastic volatility and correlation between the assets of the companies. The covariance of the assets follows two popular models which are non-overlapping extensions of the CIR model to dimensions greater than one, the Wishart process and the Principal component process. Under CreditGrades, we find quasi closed-form solutions for equity options, marginal probabilities of defaults… Show more

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Cited by 6 publications
(3 citation statements)
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“…Another extension of the CreditGrades model, using implied (and not historical) volatilities to take into account both equities volatilities and leverage, is proposed by Stamicar and Finger (2006). More recently, Escobar et al (2012) have offered a multivariate extension of the CreditGrades model under the assumption of stochastic variance and correlation among the companies' assets. Credit Default Swap is a topic of interest in much recent operational research literature (Guarin et al, 2011;Tomohiro, 2014;Cont and Minca, 2016;Chalamandaris and Vlachogiannakis, 2018;Koutmos, 2018;Irresberger et al, 2018), but in practice, models for traded CDS spreads tend not to be popular among portfolio managers.…”
Section: Introductionmentioning
confidence: 99%
“…Another extension of the CreditGrades model, using implied (and not historical) volatilities to take into account both equities volatilities and leverage, is proposed by Stamicar and Finger (2006). More recently, Escobar et al (2012) have offered a multivariate extension of the CreditGrades model under the assumption of stochastic variance and correlation among the companies' assets. Credit Default Swap is a topic of interest in much recent operational research literature (Guarin et al, 2011;Tomohiro, 2014;Cont and Minca, 2016;Chalamandaris and Vlachogiannakis, 2018;Koutmos, 2018;Irresberger et al, 2018), but in practice, models for traded CDS spreads tend not to be popular among portfolio managers.…”
Section: Introductionmentioning
confidence: 99%
“…Decision tools as part of sustainability tools, along with ranking tools, calculations, and guidelines to reduce the risk of projects related to sustainability and sustainable development and in the framework of evaluation of these projects by consulting engineers or universities in order to use. Different parts of infrastructure such as water, energy, transportation, and construction have been provided [75][76][77]. Comparing these tools and examining the specifications of each of them are helpful to select or produce similar tools for use in national and regional infrastructure projects [21,[78][79][80].…”
Section: Sustainable Developmentmentioning
confidence: 99%
“…We note in passing that default specifications with stochastic barriers à la (D1) have been discussed in, e.g., Lando (2004), Escobar et al (2012), Skoglund and Chen (2015) and references therein. Interestingly, (D1) to an extent reduces the complexity involved in simulating the r.v.…”
Section: Introductionmentioning
confidence: 99%