Skip to main content

Interest Rate Models: A Review

  • Chapter
Handbook of Financial Engineering

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 18))

  • 3490 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. Ait-Sahalia, Y. Testing continuous-time models of the spot interest rate. Review of Financial Studies 9:427–470, 1996.

    Article  Google Scholar 

  2. Backus, D. K., Foresi, S., and Telmer, C. I. Affine models of currency pricing. NBER Working paper, 5623, 1996.

    Google Scholar 

  3. Backus, D. K., Foresi, S., and Telmer, C. I. Discrete-time models of bond pricing. NBER Working paper, 6736, 1998.

    Google Scholar 

  4. Backus, D. K., Foresi, S., Mozumdar, A., and Wu, L. Predictable changes in yields and forward rates. NBER Working paper, 6379, 2001.

    Google Scholar 

  5. Balduzzi, P., Das, S. R., and Foresi, S. The central tendency: A second factor in bond yields. Review of Economics and Statistics, 80:62–72, 1998.

    Article  Google Scholar 

  6. Balduzzi, P., Das, S. R., Foresi, S., and Sundaram, R. A simple approach to three factor affine term structure models. Journal of Fixed Income, 6:43–53, 1996.

    Article  Google Scholar 

  7. Barr, D. G., and Campbell, J. Y. Inflation, real interest rates, and the bond market: A study of UK nominal and index- linked government bond prices. NBER Working paper, 5821, 1996.

    Google Scholar 

  8. Black, F., Derman, E., and Toy, W. A one factor model of interest rates and it's Application to treasury bond options. Financial Analysis Journal, 46:33–39, 1990.

    Article  Google Scholar 

  9. Black, F. and Karasinski, P. Bond and option pricing when short rates are log-normal. Financial Analysts Journal, 47(4):52–59, 1991.

    Article  Google Scholar 

  10. Bolder, D. J. Affine term-structure models: Theory and implementation. Bank of Canada, Working paper 15, 2001.

    Google Scholar 

  11. Bolder, D. J., Johnson, G., and Mezler, A. An empirical analysis of the candian term structure of zero coupon interest rates. Bank of Canada, Working paper 2004–48, 2004.

    Google Scholar 

  12. Brace, A., Gatarek, D., and Musiela, M. The market model of interest rate dynamics. Mathematical Finance, 7:127–154, 1997.

    Article  MATH  MathSciNet  Google Scholar 

  13. Brigo, D., and Mercurio, F. Interest Rate Model-Theory and Practice: With Smile, Inflation and Credit. Springer, Berlin, 2006.

    Google Scholar 

  14. Campbell, J. Y., Lo, A. W., and MacKinlay, A. C. The Econometrics of Financial Markets. Princeton University Press, Princeton, NJ, 1997, pp. 427–464.

    Google Scholar 

  15. Cassola, N., and Luis, J. B. A two-factor model of the German term structure of interest rates. European Central Bank, Working paper, 46, 2001.

    Google Scholar 

  16. Chen, R., and Scott, L. Multi-factor Cox-Ingersoll-Ross models of the term structure: Estimates and test from a Kalman filter. University of Georgia, Working paper, 1993.

    Google Scholar 

  17. Cox, J., Ingersoll, J., and Ross, S. A Theory of the term structure of interest rates. Econometrica, 53:385–407, 1985.

    Article  MathSciNet  Google Scholar 

  18. Dai, Q., and Singleton, K. J. Specification analysis of affine term structure models. Journal of Finance, 55:1943–1978, 2000.

    Article  Google Scholar 

  19. Dai, Q., and Singleton, K. J. Expectation puzzles, time- varying risk premia, and affine models of the term structure. Journal of financial Economics, 63:415–441, 2002.

    Article  Google Scholar 

  20. David, J. B., Johnson, G., and Metzler, A. An empirical analysis of the Canadian term structure of zero-coupon interest rates. Bank of Canada, Working paper, 18, 2004.

    Google Scholar 

  21. Dothan, U. On the term structure of interest rates. Journal of Financial Economics, 6:59–69, 1978.

    Article  Google Scholar 

  22. Duarte, J. Evaluating an alternative risk preference in affine term structure models. The Review of Financial Studies, 17:379–404, 2004.

    Article  Google Scholar 

  23. Duffee, G. Term premia and interest rate forecasts in affine models. Journal of Finance, 57:527–552, 2002.

    Article  Google Scholar 

  24. Duffie, D., and Kan, R. A yield factor model of interest rates. Mathematical Finance, 6:379–406, 1996.

    Article  MATH  Google Scholar 

  25. Duffie, D., and Singleton, K. Simulated moments estimation of Markov models of asset prices. Econometrica, 61:929–952, 1993.

    Article  MATH  MathSciNet  Google Scholar 

  26. Dunis, C. L., Laws, J., and Naim, P. Applied Quantitative Methods for Trading and Investment. John Wiley & Sons, New York, 2003, pp. 71–128.

    Book  Google Scholar 

  27. Gallant, A. R., and Tauchen, G. Simulated score methods and indirect inference for continuous-time models. Department of Economics, Duke University, Working paper, 02–09, 2002.

    Google Scholar 

  28. Gerlach, S. The information content of the term structure: Evidence for Germany. BIS Working paper, 29, 1995.

    Google Scholar 

  29. Glassermann P. Monte Carlo Methods in Financial Engineering. Springer, Berlin, 2003.

    Google Scholar 

  30. Gong, F. F., and Remolona, E. M. A three-factor econometric Model of the U.S. term structure. Federal Reserve Bank of New York Working paper, 1996.

    Google Scholar 

  31. Hamilton, J. D. Time Series Analysis. Princeton University Press, Princeton, NJ, 1994, pp. 372–408.

    Google Scholar 

  32. Heath, D., Jarrow, R., and Morton,A. Contingent claim valuation with a random evolution of interest rates. Review of Futures Markets, 9:54–76, 1990.

    Google Scholar 

  33. Ho, T. S. Y., and Lee, S. B. Term structure movements and the pricing of interest rate contingent claims. Journal of Finance, 41:1011–1029, 1986.

    Article  Google Scholar 

  34. Hull J. C., and White, A. Pricing interest rate derivative securities. Review of Financial Studies, 3:573–592, 1990.

    Article  Google Scholar 

  35. Jamishidian, F. LIBOR and swap market models and measures. Finance and Stochastics, 1:293–330, 1997.

    Article  Google Scholar 

  36. Jorion, P. and Mishkin, F. A multicountry comparison of term-structure forecasts at long horizons. Journal of Financial Economics, 29:59–80, 1991.

    Article  Google Scholar 

  37. Karatzas, I., and Shreve, S. Brownian motion and stochastic calculus, 2nd edition. Springer, Berlin, 1998.

    Google Scholar 

  38. Litterman, R., and Scheinkman, J. Common factors affecting bond returns. Journal of Fixed Income, 1:49–53, 1991.

    Article  Google Scholar 

  39. Mercurio, F. and Morelada, J. M. An analytically tractable interest rate model with humped volatility. European Journal of Operational Research, 120:205–214, 2000.

    Article  MATH  Google Scholar 

  40. Miltersen, K., Sandmann, K., and Sondermann, D. Closed form solutions for term structure derivatives with log-normal interest rates. Journal of Finance, 52:409–430, 1997.

    Article  Google Scholar 

  41. Musiela M. Nominal rates and lognormal volatility structure. University of New South Wales, Working paper, 1994.

    Google Scholar 

  42. Musiela, M., and Rutkowski, M. Martingale Methods in Financial Modelling. Springer, Berlin Germany, 2004.

    Google Scholar 

  43. Musiela, M., and Sondermann, D. Different dynamical specifications of the term structure of interest rates and their implications. University of Bonn, Working paper, 1993.

    Google Scholar 

  44. Pelsser A. Efficient Methods for Valuing Interest Rate Derivatives. Springer, New York, 2000.

    Google Scholar 

  45. Piazzesi, M. Affine Term Structure Models. University of Chicago, Preprint, 2003.

    Google Scholar 

  46. Rebonato R. Modern Pricing of Interest Rate Derivtives: The LIBOR Market Model and Beyond. Princeton University Press, Princeton, NJ, 2002.

    Google Scholar 

  47. Rebonato R. Volatility and Correlation: The Perfect Hedger and the Fox. John Wiley & Sons, New York, 2004.

    Google Scholar 

  48. Ross, S. A. The arbitrage theory of capital asset pricing. Journal of Economic Theory, 13:341–360, 1976.

    Article  MathSciNet  Google Scholar 

  49. Shreve, S. Stochastic Calculus for Finance II: Continuous Time Models. Springer, New York, 2004.

    Google Scholar 

  50. Sandmann, K. and Sondermann, D. A note on the stability of lognormal interest rate models and the pricing of Eurodollar futures. Mathematical Finance, 7:119–125, 1997.

    Article  MATH  Google Scholar 

  51. Soloviev, O. Mathematical Models in Economics. Queen Mary University of London, Department of Physics, 2002.

    Google Scholar 

  52. Vasicek, O. A. An equilibrium characterization of the term structure. Journal of Financial Economics, 5:177–88, 1977.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christos Ioannidis .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Ioannidis, C., Miao, R.H., Williams, J.M. (2008). Interest Rate Models: A Review. In: Zopounidis, C., Doumpos, M., Pardalos, P.M. (eds) Handbook of Financial Engineering. Springer Optimization and Its Applications, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-76682-9_6

Download citation

Publish with us

Policies and ethics