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Numerical Solution Of The American Option Pricing Problem, The: Finite Difference And Transform Approaches (Hardcover)
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Numerical Solution Of The American Option Pricing Problem, The: Finite Difference And Transform Approaches (Hardcover)
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The early exercise opportunity of an American option makes it
challenging to price and an array of approaches have been proposed
in the vast literature on this topic. In The Numerical Solution of
the American Option Pricing Problem, Carl Chiarella, Boda Kang and
Gunter Meyer focus on two numerical approaches that have proved
useful for finding all prices, hedge ratios and early exercise
boundaries of an American option. One is a finite difference
approach which is based on the numerical solution of the partial
differential equations with the free boundary problem arising in
American option pricing, including the method of lines, the
component wise splitting and the finite difference with PSOR. The
other approach is the integral transform approach which includes
Fourier or Fourier Cosine transforms. Written in a concise and
systematic manner, Chiarella, Kang and Meyer explain and
demonstrate the advantages and limitations of each of them based on
their and their co-workers' experiences with these approaches over
the years.
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