Title :
Valuing American Options by Weighted Least-Squares Quasi-Monte Carlo
Author :
Yang, Haijun ; Lei, Yang
Author_Institution :
Sch. of Econ. & Manage., Beijing Univ. of Aeronaut. & Astronaut., Beijing
Abstract :
American options pricing has the backward nature of iterative search feature. Based on the least-squares Monte Carlo(LSM), this paper employs Faure sequences and doubles the sample´s number by antithetic variate method to decrease the variance of simulation. Then, underling assets are valued. Thus, weighted least-squares quasi-Monte Carlo (WLSQM) is proposed by weighted least-squares regression. Comparing the two methods with option value, standard error and computation cost, WLSQM is better than LSM, which validates WLSQM is efficient on pricing American options.
Keywords :
Monte Carlo methods; iterative methods; least squares approximations; pricing; regression analysis; sequences; share prices; American options pricing; Faure sequence; antithetic variate method; iterative search feature; weighted least-squares quasiMonte Carlo method; weighted least-squares regression; Computational efficiency; Computational modeling; Convergence; Cost accounting; Forward contracts; Numerical simulation; Pricing; Random sequences; Security; Time measurement;
Conference_Titel :
Wireless Communications, Networking and Mobile Computing, 2008. WiCOM '08. 4th International Conference on
Conference_Location :
Dalian
Print_ISBN :
978-1-4244-2107-7
Electronic_ISBN :
978-1-4244-2108-4
DOI :
10.1109/WiCom.2008.2321