Term structure estimation and pricing of callable Treasury bonds

Abstract

This article describes a methodology of term structure estimation incorporating callable Treasury bonds using a bond-option valuation model. This article also examines whether some simple approximation of the option value suffice for providing a useful estimation procedure. The authors find that the errors in estimating the option value can generate significant errors for estimating the discount function. A call provision on a Treasury bond is not negligible at least our framework. This procedure is consistent with two aspects of the Treasury market. First, it provides the discount function that best determines the prices of observed Treasury securities, and second, it obtains a discount function that explains callable Treasuries.