Abramowitz, W. and I. Stegun. (1972). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover Publications.
Ait-Sahlia, F. (1996). “Optimal Stopping and Weak Convergence Methods for Some Problems in Financial Economics,” Ph.D. Dissertation, Department of Operations Research, Stanford University.
Ait-Sahlia, F. and P. Carr. (1997). “American Options: A Comparison of Numerical Methods.” In L.C.G. Rogers and D. Talay (eds.), Numerical Methods in Finance. Cambridge University Press.
Ait-Sahlia, F. and T.L. Lai. (1996). “Approximations for American Options,” Working Paper, Cornell University.
Ait-Sahlia, F. and T.L. Lai. (2000). “A Canonical Optimal Stopping Problem for American Options and its Numerical Solution,” Journal of Computational Finance 3, 2, 33¶52.
Barone-Adesi, G. and R.E. Whaley. (1987). “Efficient Analytic Approximation of American Option Values,” Journal of Finance
42, 2, 301¶320.CrossRef
Barraquand, J. and D. Martineau. (1995). “Numerical Valuation of High-Dimensional Multivariate American Securities,” Journal of Financial and Quantitative Analysis
Black, F. and M. Scholes. (1973). “The Pricing of Options and Corporate Liabilities,” Journal of Political Economy
81, 3, 637¶654.CrossRef
Bossaerts, P. (1989). “Simulation Estimators of Optimal Early Exercise,” Working Paper, Carnegie-Mellon University.
Boyle, P. (1977). “Options: A Monte Carlo Approach,” Journal of Financial Economics
Boyle, P., M. Broadie, and P. Glasserman. (1997). “Monte Carlo Methods for Security Pricing,” Journal of Economic Dynamics and Control
Brennan, M.J. and E.S. Schwartz. (1977). “The Valuation of American Put Options,” Journal of Finance
Brennan, M.J. and E.S. Schwartz. (1978). “Finite Difference Methods and Jump Processes Arising in the Pricing of Contingent Claims: A Synthesis,” Journal of Financial and Quantitative Analysis
Broadie, M. and J. Detemple. (1996). “American Option Valuation: New Bounds, Approximations and a Comparison of Existing Methods,” Review of Financial Studies
Broadie, M. and P. Glasserman. (1997a). “Pricing American-Style Securities using Simulations,” Journal of Economic Dynamics and Control
Broadie, M. and P. Glasserman. (1997b). “A Stochastic Mesh Method for Pricing High-Dimensional American Options,” Working Paper, Columbia University.
Broadie, M., P. Glasserman, and G. Jain. (1997). “Enhanced Monte Carlo Estimation for American Option Prices,” Journal of Derivatives 5, 1, 25¶44.
Bunch, D. and H.E. Johnson. (1992). “A Simple and Numerically Efficient Valuation Method for American Puts Using a Modified Geske¶Johnson Approach,” Journal of Finance
47, 2, 809¶816.CrossRef
Bunch, D. and H.E. Johnson. (2000). “The American Put Option and Its Critical Stock Price,” Journal of Finance
55, 5, 2333¶2356.CrossRef
Carr, P. (1998). “Randomization and the American Put,” Review of Financial Studies
Carr, P., R. Jarrow, and R. Mynemi. (1992). “Alternative Characterization of American Puts,” Mathematical Finance 2, 87¶106.
Carriere, J.F. (1996). “Valuation of the Early-Exercise Price for Options Using Simulations and Nonparametric Regresion,” Insurance, Mathematics and Economics
Clément, E., D. Lamberton, and P. Protter. (2002). “An Analysis of a Least Squares Regression Method for American Option Pricing,” Finance and Stochastics
6, 4, 449¶471.CrossRef
Courtadon, G. (1982). “A More Accurate Finite Difference Approximation for the Valuation of Options,” Journal of Financial and Quantitative Analysis
17, 5, 697¶703.CrossRef
Cox, J.C., S.A. Ross, and M. Rubinstein. (1979). “Option Pricing: A Simplified Approach,” Journal of Financial Economics
7, 3, 229¶263.CrossRef
Demidowitsch, B.P., I.A. Maron, and E.S. Schuwalowa. (1980). Métodos Numéricos de Análisis. Madrid: Editorial Paraninfo.
Geske, R. (1979). “A Note on an Analytical Valuation Formula for Unprotected American Options on Stocks with Known Dividends,” Journal of Financial Economics
Geske, R. and H.E. Johnson. (1984). “The American Put Option Valued Analytically,” Journal of Finance
39, 5, 1511¶1524.CrossRef
Ho, T.S.Y., R.C. Stapleton, and M.G. Subrahmanyam. (1997). “The Valuation of American Options with Stochastic Interest Rates: A Generalization of the Geske¶Johnson Technique,” Journal of Finance
52, 2, 827¶840.CrossRef
Jacka, S.D. (1991). “Optimal Stopping and the American Put,” Mathematical Finance 1, 1¶14.
Johnson, H.E. (1983). “An Analytic Approximation for the American Put Price,” Journal of Financial and Quantitative Analysis
18, 1, 141¶148.CrossRef
Ju, N. (1998). “Pricing American Option by Approximating its Early Exercise Boundary as a Multipiece Exponential Function,” Review of Financial Studies
11, 3, 627¶646.CrossRef
Ju, N. and R. Zhong. (1999). “An Approximate Formula for Pricing American Options,” The Journal of Derivatives
7, 2, 31¶40.CrossRef
Kim, I.J. (1990). “The Analytical Valuation of American Options,” Review of Financial Studies
Longstaff, F.A. and E.S. Schwartz. (2001). “Valuing American Options by Simulations: A Simple Least-Squares Approach,” Review of Financial Studies
14, 1, 113¶147.CrossRef
McKean, H.P. (1965). “Appendix: A Free Boundary Problem for the Heat Equation Arising from a Problem in Mathematical Economics,” Industrial Management Review 6, 32¶39.
Merton, R.C. (1973). “Theory of Rational Option Pricing,” Bell Journal of Economics and Management Science
4, 1, 141¶183.CrossRef
Parkinson, M. (1977). “Option Pricing: The American Put,” Journal of Business
Raymar, S. and M. Zwecher. (1997). “Monte Carlo Estimation of American Call Options on the Maximum of Several Stocks,” Journal of Derivatives 5, 7¶24.
Rendleman, R. and B. Bartter. (1979). “Two-State Option Pricing,” Journal of Finance
Roll, R. (1977). “An Analytic Valuation Formula for Unprotected American Call Options on Stocks with Known Dividends,” Journal of Financial Economics
Schwartz, E.S. (1977). “The Valuation of Warrants: Implementing a New Approach,” Journal of Financial Economics
Tsitsiklis, J.N. and B. Van Roy. (1999). “Optimal Stopping of Markov Processes: Hilbert Space, Theory, Approximation Algorithms, and an Application to Pricing High-Dimensional Financial Derivatives,” IEEE Transactions on Automatic Control
44, 10, 1840¶1851.CrossRef
Tsitsiklis, J.N. and B. Van Roy. (2001). “Regression Methods for Pricing Complex American-Style Options,” IEEE Transactions on Neural Networks
12, 4, 694¶703.CrossRef
Whaley, R.E. (1981). “On the Valuation of American Call Options on Stocks with Known Dividends,” Journal of Financial Economics
9, 2, 207¶211.CrossRef