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2017 | OriginalPaper | Buchkapitel

11. Instantaneous Forward Rate Models and the Heath–Jarrow–Morton Framework

verfasst von : Jörg Kienitz, Peter Caspers

Erschienen in: Interest Rate Derivatives Explained: Volume 2

Verlag: Palgrave Macmillan UK

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Abstract

This chapter gives an overview of the general Heath–Jarrow–Morton framework, Heath et al. (1992), and some particular examples.

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Literatur
Zurück zum Zitat Andersen, L. (2008). Simple and efficient simulation of the Heston stochastic volatility model. Journal of Computational Finance, 11, 1–42.CrossRef Andersen, L. (2008). Simple and efficient simulation of the Heston stochastic volatility model. Journal of Computational Finance, 11, 1–42.CrossRef
Zurück zum Zitat Andersen, T. G., & Benzoni, L. (2010). Do Bonds span volatility risk in the US treasury market? A specification test for affine term structure models. The Journal of Finance, 65(2), 603–653.CrossRef Andersen, T. G., & Benzoni, L. (2010). Do Bonds span volatility risk in the US treasury market? A specification test for affine term structure models. The Journal of Finance, 65(2), 603–653.CrossRef
Zurück zum Zitat Casassus, J., Collin-Dufresne, P., Goldstein, P., & Goldstein, G. (2005). Unspanned stochastic volatility and fixed income derivatives pricing. Journal of Banking and Finance, 29(11), 2723–2749.CrossRef Casassus, J., Collin-Dufresne, P., Goldstein, P., & Goldstein, G. (2005). Unspanned stochastic volatility and fixed income derivatives pricing. Journal of Banking and Finance, 29(11), 2723–2749.CrossRef
Zurück zum Zitat Cheyette O. (1994). Markov representation of the heath-Jarrow-Morton model. Barra—Working paper and SSRN. Cheyette O. (1994). Markov representation of the heath-Jarrow-Morton model. Barra—Working paper and SSRN.
Zurück zum Zitat Collin-Dufresne, P., & Goldstein, R. S. (2002). Do Bonds span the fixed income markets? Theory and evidence for unspanned stochastic volatility. The Journal of Finance, 57(4), 1685–1730.CrossRef Collin-Dufresne, P., & Goldstein, R. S. (2002). Do Bonds span the fixed income markets? Theory and evidence for unspanned stochastic volatility. The Journal of Finance, 57(4), 1685–1730.CrossRef
Zurück zum Zitat Fan, R., Gupta, A. and Ritchken, P. (2003). Hedging in the possible presence of unspanned stochastic volatility: Evidence from swaption markets. Journal of Finance, 2219–2248. Fan, R., Gupta, A. and Ritchken, P. (2003). Hedging in the possible presence of unspanned stochastic volatility: Evidence from swaption markets. Journal of Finance, 2219–2248.
Zurück zum Zitat Heath, D., Jarrow, R., & Morton, A. (1992). Bond pricing and the term structure of interst rates: A new methodology for contingent claims valuation. Econometrica, 60, 77–105.CrossRef Heath, D., Jarrow, R., & Morton, A. (1992). Bond pricing and the term structure of interst rates: A new methodology for contingent claims valuation. Econometrica, 60, 77–105.CrossRef
Zurück zum Zitat Heidari, M., & Wu, L. (2003). Are interest rate derivatives spanned by the term structure of interest rates? Journal of Fixed Income, 13(1), 75–86.CrossRef Heidari, M., & Wu, L. (2003). Are interest rate derivatives spanned by the term structure of interest rates? Journal of Fixed Income, 13(1), 75–86.CrossRef
Zurück zum Zitat Kienitz, J. and Wetterau, D. (2012). Financial modeling—Theory, implementation and practice - (with matlab source). Wiley. Kienitz, J. and Wetterau, D. (2012). Financial modeling—Theory, implementation and practice - (with matlab source). Wiley.
Zurück zum Zitat Li, H., & Zhao, F. (2006). Unspanned stochastic volatility: Evidence from hedging interest rate derivatives. The Journal of Finance, 61(1), 341–378.CrossRef Li, H., & Zhao, F. (2006). Unspanned stochastic volatility: Evidence from hedging interest rate derivatives. The Journal of Finance, 61(1), 341–378.CrossRef
Zurück zum Zitat Ritchken, P., & Sankarasubramanian, L. (1995). Volatility structures of forward rates and the dynamics of the term structure. Mathematical Finance, 5(1), 55–72. Ritchken, P., & Sankarasubramanian, L. (1995). Volatility structures of forward rates and the dynamics of the term structure. Mathematical Finance, 5(1), 55–72.
Zurück zum Zitat Schumann G. W. (2016). Trolle-Schwartz HJM interest rate model. M.Sc. Thesis University of Cape Town. Schumann G. W. (2016). Trolle-Schwartz HJM interest rate model. M.Sc. Thesis University of Cape Town.
Zurück zum Zitat Trolle, A. B., & Schwartz, E. S. (2009). A general stochastic volatility model for the pricing of interest rate derivatives. Review of Financial Studies, 22(5), 2007–2057.CrossRef Trolle, A. B., & Schwartz, E. S. (2009). A general stochastic volatility model for the pricing of interest rate derivatives. Review of Financial Studies, 22(5), 2007–2057.CrossRef
Metadaten
Titel
Instantaneous Forward Rate Models and the Heath–Jarrow–Morton Framework
verfasst von
Jörg Kienitz
Peter Caspers
Copyright-Jahr
2017
DOI
https://doi.org/10.1057/978-1-137-36019-9_11