american option pricing by conditional monte carlo

Derivatives pricing such as american options,european ,asian ,barrier and pathdependent options with simulation methods need to have more calibration and low discrepncywith real market.in this paper we develope a new model for pricing american option by conditionalmonte carlo method. moreover, the convergence rate of this option based on huristicmethod of random arithmatic sequence a control variate of claim undelying asset dynamic ispresented. we used geomtric brownian motion dynamic for underlying asset and heston dynamicfor volatility of underlying asset.then used cotrol variate based on primium discount andsnell push for optimal and variance reduction of errors