Maximum likelihood estimator of the volatility of forward rates driven by geometric spatial AR sheet

Journal of Applied Mathematics

Volumn 2004, Issue 4, 2004, Pages 293-309

  Gáll, József ^a   Pap, Gyula ^a   Van Zuijlen, Martien C A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 20444368088     PISSN: 1110757X     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1110757X04306133     Document Type: Article

References (15)

1. T. Björk, Arbitrage Theory in Continuous Time, Oxford University Press, Oxford, 1998.
2. H. Föllmer and M. Schweizer, Hedging of contingent claims under incomplete information, Applied Stochastic Analysis (London, 1989) (M. H. A. Davis and R. J. Elliott, eds.), Stochastics Monogr., vol. 5, Gordon and Breach, New York, 1991, pp. 389-414.
3. H. Föllmer and D. Sondermann, Hedging of nonredundant contingent claims, Contributions to Mathematical Economics (W. Hildenbrand and A. Mas-Colell, eds.), North-Holland, Amsterdam, 1986, pp. 205-223.
4. J. Gáll, G. Pap, and M. C. A. van Zuijlen, Forward interest rate curves in discrete time settings driven by random fields, Tech. Report 0213, University of Nijmegen, Nijmegen, 2002.
5. J. Gáll, G. Pap, and M. C. A. van Zuijlen, Limiting connection between discrete and continuous time forward interest rate curve models, Acta Appl. Math. 78 (2003), no. 1-3, 137-144.
6. R. S. Goldstein, The term structure of interest rates as a random field, Review of Financial Studies 13 (2000), no. 2, 365-384.
7. D. Heath, R. A. Jarrow, and A. Morton, Bond pricing and the term structure of interest rates: a discrete time approximation, Journal of Financial and Quantitative Analysis 25 (1990), no. 4, 419-440.
8. D. Heath, R. A. Jarrow, and A. Morton, Bond pricing and the term structure of interest rates: a new methodology for contingent claims valuation, Econometrica 60 (1992), no. 1, 77-105.
9. R. A. Jarrow, Modelling Fixed Income Securities and Interest Rate Options, McGraw-Hill, New York, 1996.
10. D. P. Kennedy, The term structure of interest rates as a Gaussian random field, Math. Finance 4 (1994), no. 3, 247-258.
11. M. Musiela and M. Rutkowski, Martingale Methods in Financial Modelling, Applications of Mathematics, vol. 36, Springer-Verlag, Berlin, 1997.
12. A. Pelsser, Efficient Methods for Valuing Interest Rate Derivatives, Springer Finance, Springer-Verlag, London, 2000.
13. S. R. Pliska, Introduction to Mathematical Finance: Discrete Time Models, Blackwell Publishers, Massachusetts, 1997.
14. P. Santa-Clara and D. Sornette, The dynamics of the forward interest rate curve with stochastic string shocks, Review of Financial Studies 14 (2001), no. 1, 149-185.
15. W. M. Schmidt, On a general class of one-factor models for the term structure of interest rates, Finance Stoch. 1 (1997), no. 1, 3-24.