Comprehensive variance reduction techniques of Monte Carlo simulation methods for pricing options
Fengqin Liu
Abstract
Fengqin Liu
Abstract
In this paper, combining the stronger ability to deal with some special financial derivative securities given by importance sampling technique and the characters of simple and flexible of mulit-control variable technique and optimum stratified sampling technique, we will put forward some more effective comprehensive variance reduction techniques on Monte Carlo simulation method for pricing financial derivative ble technique and optimum stratified sampling technique into the analysis framework of importance sampling technique. At last, we make some practical analysis by using an arithmetic Asian option.
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In this paper, combining the stronger ability to deal with some special financial derivative securities given by importance sampling technique and the characters of simple and flexible of mulit-control variable technique and optimum stratified sampling technique, we will put forward some more effective comprehensive variance reduction techniques on Monte Carlo simulation method for pricing financial derivative ble technique and optimum stratified sampling technique into the analysis framework of importance sampling technique. At last, we make some practical analysis by using an arithmetic Asian option.
Key concepts: Variance reduction, Monte Carlo method, Control variates, Importance sampling, Stratified sampling, Sampling (signal processing), Variance (accounting), Computer science