Valuation of path-dependent American options using a Monte Carlo approach

Details Valuation of path-dependent American options using a Monte Carlo approach Valuation of path-dependent American options using a Monte Carlo approach

1998-01-12

arxiv.org/abs/math/9801057v1

Mathematics

Numerical Analysis

32 pages LaTeX including 4 postscript figures

Scientific paper

It is shown how to obtain accurate values for American options using Monte Carlo simulation. The main feature of the novel algorithm consists of tracking the boundary between exercise and hold regions via optimization of a certain payoff function. We compare estimates from simulation for some types of claims with results from binomial tree calculations and find very good agreement. The novel method allows to calculate so far untractable path-dependent option values.

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