The Joint Estimation of Term Structures and Credit Spreads

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The Joint Estimation of Term Structures and Credit Spreads

by Patrick Houweling of Rabobank Int'l and the University Rotterdam,
Jaap Hoek of Robeco Group,
Frank Kleibergen of Erasmus University Amsterdam

July 2001

Abstract. We present a new framework for the joint estimation of the default-free government term structure and corporate credit spread curves. By using a data set of liquid, German mark denominated bonds, we show that this yields more realistic spreads than traditionally obtained spread curves that result from subtracting independently estimated government and corporate term structures. The obtained spread curves are 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. To determine the ‘optimal' model specification, we use a newly developed test statistic that compares spread curves from competing models.

JEL Classification: G12, G13, C13.

Keywords: Term structure estimation, Credit spreads, Corporate bonds, Splines.

Published in: Journal of Empirical Finance, Vol. 8, No. 3, (July 2001), pp. 297-323.

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