Genetic programming with Monte Carlo simulation for option pricing
Chidambaran, N.K.
Rutgers Bus. Sch., Rutgers Univ., Piscataway, NJ, USA;
This paper appears in: Simulation Conference, 2003. Proceedings of the 2003 Winter
Publication Date: 7-10 Dec. 2003
Volume: 1,
On page(s): 285- 292 Vol.1
ISBN: 0-7803-8131-9
INSPEC Accession Number: 7947494
Current Version Published: 2004-01-30
Abstract
I examine the role of programming parameters in determining the accuracy of genetic programming for option pricing. I use Monte Carlo simulations to generate stock and option price data needed to develop a genetic option pricing program. I simulate data for two different stock price processes - a geometric Brownian process and a jump-diffusion process. In the jump-diffusion setting, I seed the genetic program with the Black-Scholes equation as a starting approximation. I find that population size, fitness criteria, and the ability to seed the program with known analytical equations, are important determinants of the efficiency of genetic programming.
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