Pricing Credit Derivatives with Rating Transitions

34 Pages Posted: 21 May 2002

See all articles by Viral V. Acharya

Viral V. Acharya

New York University - Leonard N. Stern School of Business; Centre for Economic Policy Research (CEPR); National Bureau of Economic Research (NBER); New York University (NYU) - Department of Finance

Sanjiv Ranjan Das

Santa Clara University - Leavey School of Business

Rangarajan K. Sundaram

New York University (NYU) - Department of Finance

Multiple version iconThere are 7 versions of this paper

Date Written: April 2002

Abstract

We develop a model for pricing risky debt and valuing credit derivatives that is easily calibrated to existing variables. Our approach is based on expanding the Heath-Jarrow-Morton (1990) term-structure model and its extension, the Das-Sundaram (2000) model to allow for defaultable debt with rating transitions. The framework has two salient features, comprising extensions over the earlier work: (i) it employs a rating transition matrix as the driver for the default process, and (ii) the entire set of rating categories is calibrated jointly, allowing, with minimal assumptions, arbitrage-free restrictions across rating classes, as a bond migrates amongst them. We provide an illustration of the approach by applying it to price credit sensitive notes that have coupon payments that are linked to the rating of the underlying credit.

Keywords: Risky debt, rating transitions, credit derivatives, credit sensitive note, HJM model

JEL Classification: G12, G13

Suggested Citation

Acharya, Viral V. and Das, Sanjiv Ranjan and Sundaram, Rangarajan K., Pricing Credit Derivatives with Rating Transitions (April 2002). CEPR Discussion Paper No. 3329. Available at SSRN: https://ssrn.com/abstract=313206

Viral V. Acharya (Contact Author)

New York University - Leonard N. Stern School of Business ( email )

44 West 4th Street
Suite 9-160
New York, NY NY 10012
United States

HOME PAGE: http://pages.stern.nyu.edu/~sternfin/vacharya/public_html/~vacharya.htm

Centre for Economic Policy Research (CEPR)

London
United Kingdom

National Bureau of Economic Research (NBER)

1050 Massachusetts Avenue
Cambridge, MA 02138
United States

New York University (NYU) - Department of Finance

Stern School of Business
44 West 4th Street
New York, NY 10012-1126
United States

Sanjiv Ranjan Das

Santa Clara University - Leavey School of Business ( email )

Department of Finance
316M Lucas Hall
Santa Clara, CA 95053
United States

HOME PAGE: http://algo.scu.edu/~sanjivdas/

Rangarajan K. Sundaram

New York University (NYU) - Department of Finance ( email )

Stern School of Business
44 West 4th Street
New York, NY 10012-1126
United States
212-998-0308 (Phone)
212-995-4233 (Fax)

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