Scandinavian Working Papers in Economics

Working Papers in Economics,
University of Gothenburg, Department of Economics

No 685: CDS INDEX OPTIONS UNDER INCOMPLETE INFORMATION

Alexander Herbertsson () and Rüdiger Frey
Additional contact information
Alexander Herbertsson: Department of Economics, School of Business, Economics and Law, Göteborg University, Postal: P.O. Box 640, SE 40530 GÖTEBORG, Sweden
Rüdiger Frey: Not stated

Abstract: We derive practical formulas for CDS index spreads in a credit risk model under incomplete information. The factor process driving the default intensities is not directly observable, and the filtering model of Frey & Schmidt (2012) is used as our setup. In this framework we find a computationally tractable expressions for the payoff of a CDS index option which naturally includes the so-called armageddon correction. A lower bound for the price of the CDS index option is derived and we provide explicit conditions on the strike spread for which this inequality becomes an equality. The bound is computationally feasible and do not depend the noise parameters in the filtering model. We outline how to explicitly compute the quantities involved in the lower bound for the price of the credit index option as well as implement and calibrate this model to market data. A numerical study is performed where we show that the lower bound in our model can be several hundred percent bigger compared with models which assume that the CDS index spreads follows a log-normal process. Also a systematic study is performed in order to understand the impact of various model parameters on CDS index options (and on the index itself).

Keywords: Credit risk; CDS index; CDS index options; intensity-based models; dependence modelling; incomplete information; nonlinear filtering; numerical methods

JEL-codes: C02; C63; G13; G32; G33

43 pages, December 2016

Full text files

50947 HTML file Full text

Download statistics

Questions (including download problems) about the papers in this series should be directed to Ann-Christin Räätäri Nyström ()
Report other problems with accessing this service to Sune Karlsson ().

This page generated on 2024-02-05 17:11:23.