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Consistent fitting of one-factor models to interest rate data

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  • Rogers, L. C. G.
  • Stummer, Wolfgang

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Article provided by Elsevier in its journal Insurance: Mathematics and Economics.

Volume (Year): 27 (2000)
Issue (Month): 1 (August)
Pages: 45-63

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Handle: RePEc:eee:insuma:v:27:y:2000:i:1:p:45-63

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Web page: http://www.elsevier.com/locate/inca/505554

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References

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  1. Delbaen, F. & Lorimier, Sabine, 1992. "Estimation of the yield curve and the forward rate curve starting from a finite number of observations," Insurance: Mathematics and Economics, Elsevier, vol. 11(4), pages 259-269, December.
  2. Farshid Jamshidian, 1996. "Bond, futures and option evaluation in the quadratic interest rate model," Applied Mathematical Finance, Taylor & Francis Journals, vol. 3(2), pages 93-115.
  3. Deelstra, G. & Delbaen, F., 1995. "Long-term returns in stochastic interest rate models," Insurance: Mathematics and Economics, Elsevier, vol. 17(2), pages 163-169, October.
  4. Richard, Scott F., 1978. "An arbitrage model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 6(1), pages 33-57, March.
  5. Jonathan E. Ingersoll Jr. & Philip H. Dybvig & Stephen A. Ross, 1998. "Long Forward and Zero-Coupon Rates Can Never Fall," Yale School of Management Working Papers ysm45, Yale School of Management.
  6. Goovaerts, M. J. & Dhaene, J., 1999. "Supermodular ordering and stochastic annuities," Insurance: Mathematics and Economics, Elsevier, vol. 24(3), pages 281-290, May.
  7. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-92.
  8. Darrell Duffie & Rui Kan, 1996. "A Yield-Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406.
  9. Pearson, Neil D & Sun, Tong-Sheng, 1994. " Exploiting the Conditional Density in Estimating the Term Structure: An Application to the Cox, Ingersoll, and Ross Model," Journal of Finance, American Finance Association, vol. 49(4), pages 1279-1304, September.
  10. Pedersen, Hal W. & Shiu, Elias S. W., 1994. "Evaluation of the GIC rollover option," Insurance: Mathematics and Economics, Elsevier, vol. 14(2), pages 117-127, May.
  11. Stummer, Wolfgang, 2000. "On Novikov and arbitrage properties of multidimensional diffusion processes with exploding drift," Statistics & Probability Letters, Elsevier, vol. 46(1), pages 43-51, January.
  12. Stambaugh, Robert F., 1988. "The information in forward rates : Implications for models of the term structure," Journal of Financial Economics, Elsevier, vol. 21(1), pages 41-70, May.
  13. Gibbons, Michael R & Ramaswamy, Krishna, 1993. "A Test of the Cox, Ingersoll, and Ross Model of the Term Structure," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 619-58.
  14. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
  15. Vetzal, Kenneth R., 1994. "A survey of stochastic continuous time models of the term structure of interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 14(2), pages 139-161, May.
  16. de Munnik, Jeroen F. J. & Schotman, Peter C., 1994. "Cross-sectional versus time series estimation of term structure models: empirical results for the Dutch bond market," Journal of Banking & Finance, Elsevier, vol. 18(5), pages 997-1025, October.
  17. De Schepper, A. & Goovaerts, M. & Delbaen, F., 1992. "The Laplace transform of annuities certain with exponential time distribution," Insurance: Mathematics and Economics, Elsevier, vol. 11(4), pages 291-294, December.
  18. F. Jamshidian, 1995. "A simple class of square-root interest-rate models," Applied Mathematical Finance, Taylor & Francis Journals, vol. 2(1), pages 61-72.
  19. Corradi, Corrado, 1996. "On the estimation of smooth forward rate curves from a finite number of observations: A comment," Insurance: Mathematics and Economics, Elsevier, vol. 18(2), pages 115-117, July.
  20. Boyle, Phelim P. & Yang, Hailiang, 1997. "Asset allocation with time variation in expected returns," Insurance: Mathematics and Economics, Elsevier, vol. 21(3), pages 201-218, December.
  21. Brown, Roger H. & Schaefer, Stephen M., 1994. "The term structure of real interest rates and the Cox, Ingersoll, and Ross model," Journal of Financial Economics, Elsevier, vol. 35(1), pages 3-42, February.
  22. Griselda Deelstra & Freddy Delbaen, 1995. "Long-term returns in stochastic interest rate models: convergence in law," ULB Institutional Repository 2013/7580, ULB -- Universite Libre de Bruxelles.
  23. Albrecht, Peter, 1985. "A note on immunization under a general stochastic equilibrium model of the term structure," Insurance: Mathematics and Economics, Elsevier, vol. 4(4), pages 239-244, October.
  24. Griselda Deelstra & Freddy Delbaen, 1995. "Long-term returns in stochastic interest rate models," ULB Institutional Repository 2013/7578, ULB -- Universite Libre de Bruxelles.
  25. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  26. Beekman, John A. & Shiu, Elias S. W., 1988. "Stochastic models for bond prices, function space integrals and immunization theory," Insurance: Mathematics and Economics, Elsevier, vol. 7(3), pages 163-173, October.
  27. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
  28. Constantinides, George M, 1992. "A Theory of the Nominal Term Structure of Interest Rates," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 531-52.
  29. David F. Babbel & Anthony M. Santomero, 1997. "Risk Management by Insurers: An Analysis of the Process," Center for Financial Institutions Working Papers 96-16, Wharton School Center for Financial Institutions, University of Pennsylvania.
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Cited by:
  1. Paulo M. M. Rodrigues & Antonio Rubia, 2004. "On the Small Sample Properties of Dickey Fuller and Maximum Likelihood Unit Root Tests on Discrete-Sampled Short-Term Interest Rates," Econometrics 0405004, EconWPA.

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