참고문헌
- 빈기범 (2005). 확산과정의 추정 기법에 관한 문헌 연구, <계량경제학보>, 16, 63-121
- Ahn, D. and Gao, B. (1999). A parametric nonlinear model of term structure dynamics, The Review of Financial Studies, 12, 721-762 https://doi.org/10.1093/rfs/12.4.721
- Ait-Sahalia, Y. (1999). Transition densities for interest rate and other nonlinear diffusions, Journal of Finance, 54, 1361-1395 https://doi.org/10.1111/0022-1082.00149
- Ait-Sahalia, Y. (2002). Maximum-likelihood estimation of discretely-sampled diffusions: A closed-form approximation approach, Econometrica, 70, 223-262 https://doi.org/10.1111/1468-0262.00274
- Ait-Sahalia, Y. (2006). Likelihood inference for diffusions: A survey, Frontiers in Statistics: in Honor of Peter J. Bickel's 65th Birthday, Imperial College Press.
- Ait-Sahalia, Y. and Yu, J. (2006). Saddlepoint approximations for continuous-time markov processes, Journal of Econometrics, 134, 507-551 https://doi.org/10.1016/j.jeconom.2005.07.004
- Bachelier, L. (1900). Theorie de la speculation, Annales Scientifiques de L' E.N.S., 17, 21-86.
- Bail, T. G. and Wu, L. (2006). A comprehensive analysis of the short term interest-rate dynamics, Journal of Banking & Finance, 30, 1269-1290 https://doi.org/10.1016/j.jbankfin.2005.05.003
- Brandt, M. W. and Santa-Clara, P. (2001). Simulated likelihood estimation of diffusions with an application to exchange rate dynamics in incomplete markets, NBER Technical Working Paper 274
- Brennan, M. and Schwartz, E. S. (1980). Analyzing convertible bonds, Journal of Financial & Quantitative Analysis, 15, 907-929 https://doi.org/10.2307/2330567
- 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 https://doi.org/10.2307/2328983
- Conley, T. G., Hansen, L. P., Luttmer, E. G. T. and Scheinkman, J. A. (1997). Short-term interest rates as subordinated diffusions, The Review of Financial Studies, 10, 525-577 https://doi.org/10.1093/rfs/10.3.525
- Cox, J. C. (1975). Notes on option pricing I: Constant elasticity of variance diffusions, Working paper, Stanford University (reprinted in Journal of Portfolio Management, 1996, 22, 15-17)
- Cox, J. C., Ingersoll, J. E. and Ross, S. A. (1980). An analysis of variable interest rate loan contracts, Journal of Finance, 35, 389-403 https://doi.org/10.2307/2327398
- Cox, J. C., Ingersoll, Jr. and Ross, S. A. (1985). A theory of the term structure of interest rates, Econometrica, 53, 385-407 https://doi.org/10.2307/1911242
- Dacunha-Castelle, D. and Florens-Zmirou, D. (1986). Estimation of the coefficients of a diffusion from discrete observations, Stochastics, 19, 263-284 https://doi.org/10.1080/17442508608833428
- Duffie, D. and Kan, R. (1996). A yield-factor model of interest rate, Mathematical Finance, 6, 379-406 https://doi.org/10.1111/j.1467-9965.1996.tb00123.x
- Durham, G. and Gallant, R. (2001). Numerical Techniques for Maximum Likelihood Estimation of Continuous Time Diffusion Processes, Technical Report
- Elerian, O., Chib, S. and Shephard, N. (2001). Likelihood inference for discretely observed nonlinear diffusions, Econometrika, 69, 959-993 https://doi.org/10.1111/1468-0262.00226
- Eraker, B. (2001). MCMC analysis of diffusion models with application to finance, Journal of Business & Economic Statistics, 19, 177-191 https://doi.org/10.1198/073500101316970403
- Hurn, A., Jeisman, J. I. and Lindsay, K. (2007). Seeing the wood for the trees: A critical evaluation of methods to estimate the parameters of stochastic differential equations, Journal of Financial Econometrics, 5, 390-455 https://doi.org/10.1093/jjfinec/nbm009
- Kloeden, P. and Platen, E. (1999). Numerical Solution of Stochastic Differential Equations, Springer-Verlag, Berlin
- Marsh, T. A. and Rosenfeld, E. R. (1983). Stochastic processes for interest rates and equilibrium bond prices, Journal of Finance, 38, 635-650 https://doi.org/10.2307/2328002
- Nicolau, J. (2002). A new technique for simulating the likelihood of stochastic differential equations, Econometrics Journal, 5, 91-102 https://doi.org/10.1111/1368-423X.t01-1-00075
- Oksendall, B. (2003). Stochastic Differential Equations: An Introduction with Applications, Springer-Verlag, Berlin
- Pederson, A. R. (1995). A new approach to maximum likelihood estimation for stochastic differential equations based on discrete observations, Scandinavian Journal of Statistics, 22, 55-71
- Rogers, L. C. G. (1985). Smooth transitional densities for one-dimensional diffusions, Bulletin of the London Mathematical Society, 17, 157-161 https://doi.org/10.1112/blms/17.2.157
- Samuelson, P. A. (1965). Proof that properly anticipated prices fluctuate randomly, Industrial Management Review, 6, 41-50
- Shoji, I. and Ozaki, T. (1998). Estimation for nonlinear stochastic differential equations by a local linearization method, Stochastic Analysis and pplications, 16, 733-752 https://doi.org/10.1080/07362999808809559
- Vasicek, O. (1977). An equilibrium characterization of the term structure, Journal of Financial Economics,5, 177-188 https://doi.org/10.1016/0304-405X(77)90016-2