Affine Modeling of Credit Risk, Pricing of Credit Events, and Contagion

Author:

Monfort Alain1,Pegoraro Fulvio23,Renne Jean-Paul4ORCID,Roussellet Guillaume5

Affiliation:

1. Center for Research in Economics and Statistics (CREST), 91120 Palaiseau, France;

2. Center for Research in Economics and Statistics (CREST), 91120 Palaiseau, France

3. Autorité de Contrôle Prudentiel et de Résolution (ACPR), Direction d'Etude et d'Analyse des Risques, 75436 Paris, France;

4. University of Lausanne, Faculté des Hautes Etudes Commerciales (HEC), 1015, Lausanne, Switzerland;

5. Desautels Faculty of Management, McGill University, Montreal, Quebec H3A 1G5, Canada

Abstract

We propose a discrete-time affine pricing model that simultaneously allows for (i) the presence of systemic entities by departing from the no-jump condition on the factors’ conditional distribution, (ii) contagion effects, and (iii) the pricing of credit events. Our affine framework delivers explicit pricing formulas for default-sensitive securities such as bonds and credit default swaps (CDSs). We estimate a euro-area multicountry version of the model and address economic questions related to the pricing of sovereign credit risk. We find that both frailty (common factors) and contagion phenomena are important to account for the joint dynamics of credit spreads. Our results also provide evidence of credit-event pricing, which is at the source of substantial credit risk premiums, even for short maturities. Finally, we extract measures of depreciation-at-default from CDSs denominated in different currencies. This paper was accepted by Kay Giesecke, finance.

Publisher

Institute for Operations Research and the Management Sciences (INFORMS)

Subject

Management Science and Operations Research,Strategy and Management

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