主  題：Quasi-Monte Carlo methods in computational finance: An overview and some recent advances

內(nèi)容簡介：Quasi-Monte Carlo (QMC) methods are important numerical tools in computational finance. In this presentation, we provide an overview of this method, with particular focus on its application to computational finance. In the second part of the presentation, we describe ways of enhancing QMC. Typically, path generation methods (PGMs) such as those based on the Brownian bridge (BB), principal component analysis (PCA), and linear transformation (LT) are common techniques for enhancing QMC. While these methods increase the efficiency of QMC by reducing the effective dimension of the underlying problem, we demonstrate that discontinuity can have an adverse effect on these methods. This calls for a significant concern as discontinuities occur naturally in pricing and hedging financial derivatives. The key to our finding is that the PGMs can change the structure of discontinuity which in turn can have a significant impact on the performance of QMC. With this insight, we develop a new ``QMC-friendly" method which specifically tailors to financial derivatives with discontinuities.  Extensive numerical experiments demonstrate that the proposed method is much more efficient and much more robust than other PGMs (such as BB and PCA) for pricing exotic options with discontinuous payoff functions and for estimating options' Greeks. Extension of the proposed “QMC-friendly” method is also discussed.

報告人： Ken Seng Tan　  教授

                         University Research Chair Professor of the University of Waterloo

時  間：2015年3月18日（周三）15：00

地  點： 競慧東樓302

舉辦單位：金融工程省重點實驗室  金融學院  理學院