Abstract
For the valuation of American put options exact
pricing formulas haven't as yet been derived We
therefore determine analytical approximations for
pricing such options by introducing the Generalised Ant
Programming (GAP) approach applicable to all problems
in which the search space of feasible solutions
consists of computer programs. GAP is a new method
inspired by Genetic Programming as well as by Ant
Algorithms. Applying our GAP-approximations for the
valuation of American put options on non-dividend
paying stocks to experimental data as well as huge
validation data sets we can show that our formulas
deliver accurate results and outperform other formulas
presented in the literature.
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