New recipes for estimating default intensities

Arbeitspapier

This paper presents a new approach to deriving default intensities from CDS or bond spreads that yields smooth intensity curves required e.g. for pricing or risk management purposes. Assuming continuous premium or coupon payments, the default intensity can be obtained by solving an integral equation (Volterra equation of 2nd kind). This integral equation is shown to be equivalent to an ordinary linear differential equation of 2nd order with time dependent coefficients, which is numerically much easier to handle. For the special case of Nelson Siegel CDS term structure models, the problem permits a fully analytical solution. A very good and at the same time simple approximation to this analytical solution is derived, which serves as a recipe for easy implementation. Finally, it is shown how the new approach can be employed to estimate stochastic term structure models like the CIR model.

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• Language: Englisch

References and Relationships

• Bibliographic citation: Series: SFB 649 Discussion Paper ; No. 2009,004

Classification and Topics

• Classification: Wirtschaft ; Estimation: General ; Single Equation Models; Single Variables: General ; Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
• Subject: CDS spreads ; bond spreads ; default intensity ; credit derivatives pricing ; spread risk modelling ; credit risk modelling ; loan book valuation ; CIR model ; Kreditsicherung ; Securitization ; Risikoprämie ; Zinsstruktur ; Kreditrisiko ; Optionspreistheorie ; Analysis ; Theorie

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Baranovski, Alexander ; von Lieres und Wilkau, Carsten ; Wilch, André
• Event: Veröffentlichung
• (who): Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk
• (where): Berlin
• (when): 2009

Further information

• Handle: http://hdl.handle.net/10419/25320