Variance Reduction Techniques of Monte Carlo Simulation Methods in Options Pricing
Hui Chen
Abstract
Hui Chen
Abstract
The variance reduction techniques of Monte Carlo Simulation(MCS) methods play an important role in the simulation efficiency improvement,such as Control Variates(CV),Antithetic Variates(AV),Stratified Sampling(SS),Latin Hypercube Sampling(LHS),Moment Matching(MM) and Importance Sampling(IS) Techniques.From the view of variance reduction efficiency,different MCS of variance reduction techniques can significantly improve MCS efficiency of option pricing,the combination techniques of IS techniques based on the optimal drifting rate and optimal SS along the direction of stratified sampling create an extremely obvious effect of increasing efficiency than the general MCS method.
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The variance reduction techniques of Monte Carlo Simulation(MCS) methods play an important role in the simulation efficiency improvement,such as Control Variates(CV),Antithetic Variates(AV),Stratified Sampling(SS),Latin Hypercube Sampling(LHS),Moment Matching(MM) and Importance Sampling(IS) Techniques.From the view of variance reduction efficiency,different MCS of variance reduction techniques can significantly improve MCS efficiency of option pricing,the combination techniques of IS techniques based on the optimal drifting rate and optimal SS along the direction of stratified sampling create an extremely obvious effect of increasing efficiency than the general MCS method.
Key concepts: Variance reduction, Control variates, Latin hypercube sampling, Monte Carlo method, Stratified sampling, Importance sampling, Sampling (signal processing), Variance (accounting)