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Lecture

报告题目:
Option Pricing by the Frequency Domain Simulation 

报告人:
Dr. Yiwei Wang,The Chinese University of Hong Kong 

报告时间:
2018年11月26日(周一)9:40-10:40 

地点:
行健楼学术活动室665

邀请人:
米辉副教授
 
摘要:
In this talk, we propose an importance-sampling based method of option pricing under two broad classes of L\’evy-driven processes and affine-jump processes whose transition probability density functions are explicitly known only through the corresponding characteristic functions. A key relationship known as the Parseval identity is used to transform a problem of simulating from the original probability space to a task of simulating in its frequency domain. This overcomes the shortcomings of the conventional inversion-based method and resolve the difficulties encountered in high dimensional applications. We provide a general principle for selecting appropriate importance sampling density under various L\’evy processes and affine processes to conduct the importance-sampling based simulation. Numerical experiments demonstrated the accuracy and efficiency of the proposed approach.
 
个人简介:
Yiwei Wang received her PhD degree in Systems Engineering and Engineering Management at The Chinese University of Hong Kong in 2017. Currently she is a lecturer in School of Economics & Management at Southeast University. Her recent research focuses on the quantitative methods in derivative pricing and risk management, Monte Carlo simulation, and applied probability