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Department of Finance, Copenhagen Business School Working Paper Series, Department of Finance, Copenhagen Business School

No 2004-6:
Modelling Callable Annuity Bonds with Interest-Only Optionality

Anders Holst and Morten Nalholm

Abstract: In this paper an investigation of the pricing of callable annuities with interest-only (I-O) optionality is conducted. First the I-O optionality feature of callable annuities is introduced. Next an algorithm for pricing callable annuities with I-O optionality using the finite difference methodology, is formulated. This is then used to investigate optimal strategies of I-O bonds and impacts on prices from the I-O optionality. It is found that the I-O feature necessitates a simultaneous valuation of all elements of the callable I-O bond. Following this, the Greeks of the I-O bond are investigated. It is found that they are affected by the I-O feature, but only to a limited extent. Finally, a model of heterogenous prepayment decisions is incorporated into the framework. The model is extended to model heterogeneity in the I-O exercise decisions. The incorporation of heterogeneity in borrower decisions is found to lead to reasonable causalities.

Keywords: Bonds; I-O optionality; (follow links to similar papers)

JEL-Codes: G00; (follow links to similar papers)

47 pages, June 1, 2004

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