Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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COMPARATIVE STUDY OF NUMERICAL ALGORITHMS FOR THE ARITHMETIC ASIAN OPTION

  • WANG, JIAN (DEPARTMENT OF MATHEMATICS, KOREA UNIVERSITY) ;
  • BAN, JUNGYUP (DEPARTMENT OF FINANCIAL ENGINEERING, KOREA UNIVERSITY) ;
  • LEE, SEONGJIN (DEPARTMENT OF FINANCIAL ENGINEERING, KOREA UNIVERSITY) ;
  • YOO, CHANGWOO (DEPARTMENT OF FINANCIAL ENGINEERING, KOREA UNIVERSITY)
  • Received : 2018.02.28
  • Accepted : 2018.03.13
  • Published : 2018.03.25
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Abstract

This paper presents the numerical valuation of the arithmetic Asian option by using the operator-splitting method (OSM). Since there is no closed-form solution for the arithmetic Asian option, finding a good numerical algorithm to value the arithmetic Asian option is important. In this paper, we focus on a two-dimensional PDE. The OSM is famous for dealing with plural-dimensional PDE using finite difference discretization. We provide a detailed numerical algorithm and compare results with MCS method to show the performance of the method.

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