Annals of Operations Research

, Volume 264, Issue 1–2, pp 339–366 | Cite as

Using forward Monte-Carlo simulation for the valuation of American barrier options

  • Daniel Wei-Chung Miao
  • Yung-Hsin Lee
  • Jr-Yan Wang
Original Paper


This paper extends the forward Monte-Carlo methods, which have been developed for the basic types of American options, to the valuation of American barrier options. The main advantage of these methods is that they do not require backward induction, the most time-consuming and memory-intensive step in the simulation approach to American options pricing. For these methods to work, we need to define the so-called pseudo critical prices which are used to determine whether early exercise should happen. In this study, we define a new and more flexible version of the pseudo critical prices which can be conveniently extended to all fourteen types of American barrier options. These pseudo critical prices are shown to satisfy the criteria of a sufficient indicator which guarantees the effectiveness of the proposed methods. A series of numerical experiments are provided to compare the performance between the forward and backward Monte-Carlo methods and demonstrate the computational advantages of the forward methods.


American barrier option Forward Monte-Carlo method Pseudo critical price Sufficient indicator 



The authors acknowledge the support from the National Science Council of Taiwan under the grant number NSC 100-2410-H-011-006.


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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  • Daniel Wei-Chung Miao
    • 1
  • Yung-Hsin Lee
    • 2
  • Jr-Yan Wang
    • 3
  1. 1.Graduate Institute of FinanceNational Taiwan University of Science and TechnologyTaipeiTaiwan
  2. 2.Industrial-Academic Research and Development CenterLunghwa University of Science and TechnologyTaoyuan CityTaiwan
  3. 3.Department of International BusinessNational Taiwan UniversityTaipeiTaiwan

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