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Short Term Interest Rate Model Using Box-Cox Transformation
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 Title & Authors
Short Term Interest Rate Model Using Box-Cox Transformation
Choi, Young-Soo; Lee, Yoon-Dong;
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This paper propose a new short-term interest rate model having a different nonlinear drift function and the same diffusion coefficient with Chan et al. (1992) model. The fractional polynomial power of the drift function in our model is linked to the local volatility elasticity of the diffusion coefficient. While the nonlinear drift function estimated by -Sahalia (1996a) and others has a feature that higher interest rates tend to revert downward and low rates upward, the drift function estimated by our nonlinear model shows that higher interest rate mean-reverts strongly, but, medium rates has almost zero drift and low rates has a very small drift. This characteristic coincides the empirical result based on the nonparametric methodology by Stanton (1997) and the implication by the scatter plot of the short rate data.
Short-term interest rate model;Box-Cox transformation;
 Cited by
Ait-Sahalia, Y. (1996a). Nonparametric pricing of interest rate derivative securities. Econometrica, 64, 527-560 crossref(new window)

Ait-Sahalia, Y. (1996b). Testing continuous-time models of the spot interest rate. The Review of Financial Studies. 9, 385-426 crossref(new window)

Box, G. E. P. and Cox, D. R. (1964). An analysis of transformations. Journal of the Royal Statistical Society Ser. B. 26, 211-252

Conley, T. G., Hansen, L. P., Luttmer, E. G. J. and Scheinkman, J. A. (1997). Short-term interest rates as subordinated diffusions. The Review of Financial Studies, 10, 525-577 crossref(new window)

Cox, J. C., Ingersoll, J. E. and Ross, S. A. (1985). A theory of the term structure of interest rates, Econometrica, 53, 385-407 crossref(new window)

Chan, K. C., Karolyi, G. A., Longstaff, F. A. and Sanders, A. B. (1992). An empirical comparison of alternative models of the short-term interest rate. Journal of Finance, 47, 1209-1227 crossref(new window)

Eom Y. H. (1998). An Efficient GMM Estimation of Continuous-Time Asset Dynamics: Implications for the Term Structure of Interest Rates. Technical Report of Yeonsei University

Jones, C. S. (2003). Nonlinear mean reversion in the short-term interest rate. The Review of Financial Studies, 16, 793-843 crossref(new window)

Stanton, R. (1997). A nonparametric model of term structure dynamics and the market price of interest rate risk. Journal of Finance, 52, 1973-2002 crossref(new window)

Vasicek, O. (1977). An equilibrium characterization of the term structure. Journal of Financial Economics, 5, 177-188 crossref(new window)