What is the meaning of Monte Carlo Simulation?

Monte Carlo Simulation is a technique for approximating a probability distribution by generating uniformly distributed pseudo random numbers and transforming them into the required sort of random numbers. In option pricing one ordinarily works with lognormal random interest rates, prices, and indexes. If one constructs the probability distributions correctly, then a Derivative Product's value equals the expected discounted value of its payoff (in the limit as the number of random paths approaches infinity).

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APABarry Goldsmith. (2010). monte carlo simulation. Retrieved September 24, 2026, from http://smartdefine.org/monte_carlo_simulation/definitions/1158399
ChicagoBarry Goldsmith. 2010. "monte carlo simulation" http://smartdefine.org/monte_carlo_simulation/definitions/1158399 (accessed September 24, 2026).
HarvardBarry Goldsmith 2010, monte carlo simulation, Smart Define, viewed 24 September, 2026, <http://smartdefine.org/monte_carlo_simulation/definitions/1158399>.
MLABarry Goldsmith. "monte carlo simulation" 21 October 2010. Web. 24 September 2026. <http://smartdefine.org/monte_carlo_simulation/definitions/1158399>