參考文獻 |
[1] Andersen, L., “A Simple Approach to the Pricing of Bermudan Swaptions in the Multi-Factor Libor Market Model”, Journal of Computational Finance, Vol. 3, No. 2, pp. 5-32, 2001.
[2] Barone-Adesi, G. and R. Whaley, “Efficient Analytic Approximation of American Option Values”, Journal of Finance, Vol. 42, pp. 301-320, 1987.
[3] Barraquand J. and D. Martineau, “Numerical Valuation of High Dimensional Multivariate American Securities”, Journal of Financial and Quantitative Analysis, Vol. 30, No. 3, pp. 383-405, 1995.
[4] Black, F. and M. Scholes, “The Pricing of Options and Corporate Liabilities”, Journal of Political Economy, Vol. 81, No. 3, pp. 637-654, 1973.
[5] Boyle, P. P., “A Monte Carlo Approach”, Journal of Financial Economics, Vol. 4, pp. 323-338, 1977.
[6] Boyle, P., J. Evnine and S. Gibbs, “Numerical Evaluation of Multivariate Contingent Claims”, Review of Financial Studies, Vol. 2, pp. 241-250, 1989.
[7] Brennan, M. and E. Schwartz, “Finite Difference Methods and Jump Processes Arising in the Pricing of the Contingent Claims: A Synthesis”, Journal of Financial and Quantitative Analysis, Vol. 13, No. 3, pp. 461-474, 1978.
[8] Broadie,M. and P. Glasserman, “Estimating Security Price Derivatives Using Simulation”, Management Science, Vol. 42, No. 2, pp. 269-285, 1996.
[9] Broadie, M. and P. Glasserman, “Pricing American-Style Securities Using Simulation”, Journal of Economic Dynamics and Control, Vol. 21, pp. 1323-1352, 1997.
[10] Broadie, M., P. Glasserman and S. Kou, “A Continuity Correction for Discrete Barrier Options”, Mathematical Finance, Vol. 7, No.4, pp. 325-248, 1997
[11] Carriere, J. F., “Valuation of Early-Exercise Price of Options Using Simulations and nonparametric regression”, Insurance: Mathematics and Economics, Vol. 19, pp. 19-30, 1996.
[12] Carverhill, A. and K. Pang, “Efficient and Flexible Bond Option Valuation in the Heath-Jarrow-Morton framework”, Journal of Fixed Income, Vol. 5, No. 2, pp. 70-77, 1995.
[13] Cox, J., J. Ingersoll and S. Ross, “An Intertemporal General Equilibrium Model of Asset Price”, Econometrica, Vol. 53, No. 2, pp. 363-384, 1985
[14] Cox, J., S. Ross, and M. Rubinstein, “Option Pricing: A Simplified Approach”, Journal of Financial Economics, Vol. 7, No. 3, pp. 229-264, 1979.
[15] Clewlow,L. and A. Carverhill, “On the Simulation of Contingent Claims”, Journal of Derivatives, Vol. 2, No. 2, pp. 66-74, 1994.
[16] Fishman,G. and B. Huang, “Antithetic Variates Revisited”, Communications of the ACM, Vol. 26, No. 11, pp. 964-971, 1983.
[17] Gamba, A. and L. Trigeorgis, “A Log-Transformed Binomial Lattice Extension for Multi-Dimensional Option Problems”, Conference Proceedings, 5th Annual International Conference on Peal Options, 2001.
[18] Glasserman, P., Monte Carlo Methods in Financial Engineering.1st ed., Springer-Verlag New York, 2004.
[19] Glasserman,P. and J. Staum, “Conditioning on one-step survival for barrier option simulations”, Operations Research, Vol. 49, No. 6, pp. 923-937, 2001.
[20] Glasserman,P., P. Heidelberger, and P. Shahabuddin, “Asymptotically Optimal Importance Sampling and Stratification for Path-Dependent Options”, Mathematical Finance, Vol. 9, No. 2, pp. 117-152, 1999.
[21] Glasserman,P., P. Heidelberger, and P. Shahabuddin, “Importance Sampling in the Heath-Jarrow-Morton Framework”, Journal of Derivatives, Vol. 7, No. 1, pp. 32-50, 1999.
[22] Hilliard,J., A. Schwartz, and A. Tucker, “Bivariate Binomial Options Pricing with Generalized Interest Rate Processes”, Journal of Financial Research, Vol. XIX, No. 4, pp 585-602, 1996.
[23] Huge, B. and N. Rom-Poulsen, “Bias Reduction in European Option Pricing”, Working Paper, Copenhagen Business School, 2004.
[24] Huge, B. and N. Rom-Poulsen, “An Algorithm for Simulating Bermudan Option Prices on Simulated Asset Prices”, Journal of Derivatives, Vol. 14, No. 4, pp. 64-85, 2007.
[25] Hull, J. and A. White, “The Pricing of Options on Assets with Stochastic Volatilities”, Journal of Finance, Vol. 42, No. 2, pp. 281-300, 1987.
[26] Kemna, A. and A. Vorst, “A Pricing Method for Options Based on Average Asset Values”, Journal of Banking and Finance, Vol. 14, No. 1, pp. 113-129, 1990.
[27] Longstaff, F. and E. Schwartz, “Valuing American Options by Simulation: A Simple Least-Squares Approach”, The Review of Financial Studies, Vol. 14, No. 1, pp. 113-147, 2001.
[28] MacMillan, L. W., “Analytic Approximation for the American Put Option”, Advances in Futures and Options Research, Vol. 1, pp. 119-139, 1986.
[29] Rubinstein, R., G. Samorodnitsky, and M. Shaked, “Antithetic Variates, Multivariate Dependence and Simulation of Stochastic Systems”, Management Science, Vol. 31, No. 1, pp. 66-77, 1985.
[30] Tilley, J. A., “Valuing American Options in a Path Simulation Model”, Transactions of the Society of Actuaries, Vol. 45, pp. 83-104, 1993.
[31] Trigeorgis, L., “A Log-Transformed Binomial Numerical Analysis Method for Valuing Complex Multi-Option Investments”, Journal of Financial and Quantitative Analysis, Vol. 26, pp. 309-326, 1991.
[32] Tsitsiklis, J. and B. Van Roy, “Regression Methods for Pricing Complex American-Style Options”, IEEE Transactions on Neural Network, Vol. 12, No. 4, pp. 694-703, 2001. |