Solutions Methods Selected Bibliography

The following papers selection, is divided into three parts: analytic approximations, numerical methods, and lattice approach.
OBS: The links are not going to the comments yet (the addition of comments is a planned future improvement).

Analytic Approximations

Barone-Adesi, G. & R.E. Whaley (1987): Efficient Analitic Approximation of American Option Value
Journal of Finance, vol.42, June 1987, pp.301-320

Ho, T.S. & R.C. Stapleton & M.G. Subrahmanyam (1994):
A Simple Technique for the Valuation and Hedging of American Options
Journal of Derivatives, Fall 1994, pp.52-66

Carr, P. (1995): The Valuation of American Exchange Options with Application to Real Options
Real Options in Capital Investments: Models, Strategies, and Aplications
Ed. by L. Trigeorgis, Praeger Publisher, Westport, Conn. 1995, pp.109-120

Geske, R. & H.E. Johnson (1984): The American Put Valued Analytically
Journal of Finance, vol.39, no 5, December 1984, pp. 1511-1524

Kelly, D.L. (1994): Valuing and Hedging American Put Options Using Neural Networks
Working Paper, Carnegie Mellon University, PA, December 1994


Numerical Methods

Brennan, M.J. & E.S. Schwartz (1978):
Finite Difference Methods and Jump Processes Arising in the Price of Contingent Claims: a Synthesis
Journal of Financial and Quantitative Analysis no 13, September 1978, pp. 461-474

Brennan, M.J. & E.S. Schwartz (1977): The Valuation of American Put Options
Journal of Finance, vol.32, no 2, May 1977, pp.449-462


Lattice Approach.

Cox, J.C. & S.A. Ross & M. Rubinstein (1979): Option Pricing: A Simplified Approach
Journal of Financial Economics, no 7, 1979, pp.229-263

Trigeorgis, L. (1991):
A Log-Transformed Binomial Numerical Analysis Method for Valuing Complex Multi-Option Investment
Journal of Financial and Quantitative Analysis, September 1991, pp.309-326

Hull, J.C & A. White (1994a): Numerical Procedures for Implementing Term Structure Models I: Single-Factor Models
Journal of Derivatives, Fall 1994, pp.7-16

Hull, J.C & A. White (1994b): Numerical Procedures for Implementing Term Structure Models II: Two-Factor Models
Journal of Derivatives, Winter 1994, pp.37-48


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Comments


Barone-Adesi, G. & R.E. Whaley (1987): Efficient Analitic Approximation of American Option Value
.....
Back to Analytic Approximations Bibliography








Ho, T.S. & R.C. Stapleton & M.G. Subrahmanyam (1994):
A Simple Technique for the Valuation and Hedging of American Options
.....
Back to Analytic Approximations Bibliography








Carr, P. (1995): The Valuation of American Exchange Options with Application to Real Options
.....
Back to Analytic Approximations Bibliography








Geske, R. & H.E. Johnson (1984): The American Put Valued Analytically
.....
Back to Analytic Approximations Bibliography








Kelly, D.L. (1994): Valuing and Hedging American Put Options Using Neural Networks
.....
Back to Analytic Approximations Bibliography








Brennan, M.J. & E.S. Schwartz (1978):
Finite Difference Methods and Jump Processes Arising in the Price of Contingent Claims: a Synthesis
.....
Back to Numerical Methods Bibliography








Brennan, M.J. & E.S. Schwartz (1977): The Valuation of American Put Options
.....
Back to Numerical Methods Bibliography








Cox, J.C. & S.A. Ross & M. Rubinstein (1979): Option Pricing: A Simplified Approach
.....
Back to Lattice Approach Bibliography








Trigeorgis, L. (1991):
A Log-Transformed Binomial Numerical Analysis Method for Valuing Complex Multi-Option Investment
.....
Back to Lattice Approach Bibliography








Hull, J.C & A. White (1994a): Numerical Procedures for Implementing Term Structure Models I: Single-Factor Models
The trinomial method. The interest rate term structure follows an aritmethic mean reverting process. The equilibrium level (where interest rates revert) is function of time because we are working with the full term structure, not a single interest rate. The current term structure is used to calibrate the model. Interest rate models that use (or are consistent with) the entire term structure are named no-arbitrage models (in contrast with the named equilibrium models).
Back to Lattice Approach Bibliography










Hull, J.C & A. White (1994b): Numerical Procedures for Implementing Term Structure Models II: Two-Factor Models
The trinomial method extension for two factors.
Back to Lattice Approach Bibliography


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