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The Joint Estimation of Term Structures and Credit Spreads
Type: Articles
Authors: Patrick Houweling, Jaap Hoek, Frank Kleibergen
Journal: Journal of Empirical Finance, 8(3), 2001, pp. 297-323
Abstract: We present a new framework for the joint estimation of the default-free term structure of interest rates and corporate credit spread curves. It specifies the discount curve of a specific credit rating class as the sum of the government discount function and a discount spread function. Both functions are modelled using splines so that we can jointly estimate the default-free government term structure and corporate credit spread curves with least squares. We develop a novel test statistic to compare spot spread curves that are obtained from competing model specifications.
By using a data set of liquid, German mark denominated bonds, we show that the new framework yields more realistic spreads than conventionally obtained spread curves that result from subtracting independently estimated government and corporate term structures. The estimated spread curves are now smooth functions of time to maturity, as opposed to the twisting curves one gets from the traditional method, and are less sensitive to model specifications. Moreover, the implied corporate term structures have tighter confidence bands. The credit spreads and term structures that result from the framework are therefore more suited to be used as input to, e.g., models that asses the credit risk in derivatives, pricing models for credit derivatives and corporate bonds, Value at Risk calculations, and time series analyses of credit spreads.
Notes: This paper is listed in SSRN's All Time Download Top 10 for Monetary Economics.
Links: SSRN page
Download: joint.pdf (378 kB)

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