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  • 标题:A new kind of parallel finite difference method for the quanto option pricing model
  • 本地全文:下载
  • 作者:Xiaozhong Yang ; Lifei Wu ; Yuying Shi
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:311
  • DOI:10.1186/s13662-015-0643-z
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The quanto option pricing model is an important financial derivatives pricing model; it is a two-dimensional Black-Scholes (B-S) equation with a mixed derivative term. The research of its numerical solutions has theoretical value and practical application significance. An alternating band Crank-Nicolson (ABdC-N) difference scheme for solving the quanto options pricing model was constructed. It is constituted of the classical implicit scheme, the explicit scheme and the Crank-Nicolson scheme, it has the following advantages: parallelism, high precision, and unconditional stability. Numerical experiments and theoretical analysis all show that ABdC-N scheme can be used to solve the quanto options pricing problems effectively.
  • 关键词:quanto options pricing model ; alternating band Crank-Nicolson (ABdC-N) scheme ; stability ; parallel computing ; numerical experiments
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