Consistent calibration of HJM models to cap implied volatilities

Journal of Futures Markets

Volumn 25, Issue 11, 2005, Pages 1093-1120

  Angelini, Flavio ^a   Herzel, Stefano ^a  

^a UNIVERSITY OF PERUGIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27344442581     PISSN: 02707314     EISSN: None     Source Type: Journal    
DOI: 10.1002/fut.20174     Document Type: Article

References (22)

1. Amin, K. I., & Morton, A. J. (1994). Implied volatility functions in arbitrage-free term structure models. Journal of Financial Economics, 35, 141-180.
2. Angelini, F., & Herzel, S. (2002). Consistent initial curves for interest rate models. Journal of Derivatives, 9, 8-18.
3. BIS. (1999). Zero-coupon yield curves: Technical documentation. Basel: Bank for International Settlements.
4. Björk, T. (1998). Arbitrage theory in continuous time. Oxford: Oxford University Press.
5. Björk, T. (2001). A geometric view of interest rate theory. In E. Jouini, J. Cvitanic, & M. Musiela (Eds.), Option pricing, interest rates and risk management. Cambridge: Cambridge University Press.
6. Björk, T., & Christensen, B. J. (1999). Interest rate dynamics and consistent forward rate curves. Mathematical Finance, 9, 323-348.
7. Björk, T., & Landen, C. (2002). On the construction of finite dimensional realizations for nonlinear forward rate models. Finance and Stocastics, 6, 303-331.
8. Brace, A., & Musiela, M. (1994). A Multifactor Gauss Markov Implementation of Heath, Jarrow, and Morton. Mathematical Finance, 4(1), 259-281.
9. Brigo, D., & Mercurio, F. (2001). Interest rate models: Theory and practice. New York: Springer-Verlag.
10. Bühler, W., Uhrig-Homburg, M., Walter, U., & Weber, T. (1999). An empirical comparison of forward rate and spot rate models for valuing interest rate options. The Journal of Finance, 54, 269-305.
11. Driessen, J., Klaassen, P., & Melenberg, B. (2003). The performance of multifactor term structure models for pricing and hedging caps and swaptions. Journal of Financial and Quantitative Analysis, 38, 635-672.
12. Filipović, D. (2001). Consistency problems for Heath-Jarrow-Morton interest rate models (Lecture Notes in Mathematics No. 1760). New York: Springer-Verlag.
13. Heath, D., Jarrow, R., & Morton, A. (1992). Bond pricing and the term structure of interest rates. Econometrica, 60, 77-106.
14. Ho, T., & Lee, S. (1986). Term structure movements and pricing interest rate contingent claims. The Journal of Finance, 41, 1011-1029.
15. Hull, J., & White, A. (1990). Pricing interest rate derivative securities. The Review of Financial Studies, 3, 573-592.
16. Hull, J., & White, A. (1994). Numerical procedures for implementing term structure models. I: Single-factor models. The Journal of Derivatives, Fall, 7-16.
17. Mercurio, F., & Moraleda, J. M. (1996). An analytically tractable interest rate model with humped volatility (Discussion Paper No. TI 96-116-2). Rotterdam, The Netherlands: Tinbergen Institute, Erasmus University.
18. Moraleda, J. M., & Pelsser, A. (2000). Forward versus spot interest rate models of the term structure: An empirical comparison. The Journal of Derivatives, Spring, 9-21.
19. Nelson, C., & Siegel, A. (1987). Parsimonious modelling of the yield curves. Journal of Business, 60, 473-489.
20. Rebonato, R. (1998). Interest rate option models (2nd ed.). Chichester: Wiley.
21. Ritchken, P., & Chuang, I. (1999). Interest rate option pricing with volatility humps. Review of Derivatives Research, 3, 237-262.
22. Vasicek, O. (1977). An equilibrium characterization of the term structure. Journal of Financial Economics, 5, 177-188.