Derive the Crank-Nicolson's finite difference method to solve the Black-Scholes-Merton partial differential equation for pricing an American put option. Note: Make sure you have described the grid, discretization of various derivatives and then combined them suitably to get a scheme.

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter5: Financial Options
Section: Chapter Questions
Problem 3P: Black-Scholes Model Assume that you have been given the following information on Purcell Industries...
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Derive the Crank-Nicolson's finite difference method to solve the Black-Scholes-Merton partial differential equation for pricing an American put option. Note: Make sure you have described the grid, discretization of various derivatives and then combined them suitably to get a scheme.]
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