Collaborative processing of Least-Square Monte Carlo for American Options

被引:0
|
作者
Yang, Jinzhe [1 ,2 ]
Guo, Ce [1 ]
Luk, Wayne [1 ]
Nahar, Terence [2 ]
机构
[1] Imperial Coll, London, England
[2] Aberdeen Asset Management, London, England
关键词
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
American options are popularly traded in the financial market, so pricing those options becomes crucial in practice. In reality, many popular pricing models do not have analytical solutions. Hence techniques such as Monte Carlo are often used in practice. This paper presents a CPU-FPGA collaborative accelerator using state-of-the-art Least-Square Monte Carlo method, for pricing American options. We provide a new sequence of generating the Monte Carlo paths, and a pre-calculation strategy for the regression process. Our design is customisable for different pricing models, discretisation schemes, and regression functions. The Heston model is used as a case study for evaluating our strategy. Experimental results show that an FPGA-based solution could provide 22 to 64.5 times faster than a single-core CPU implementation.
引用
收藏
页码:52 / 59
页数:8
相关论文
共 50 条
  • [31] An improved approach for valuing American options and their greeks by least-squares Monte Carlo simulation
    Choi, Youngsoo
    Song, Joonhyuk
    ASIA-PACIFIC JOURNAL OF FINANCIAL STUDIES, 2008, 37 (02): : 217 - 244
  • [32] A Discussions on the Least-square Method in the Course of Error Theory and Data Processing
    Chi, Haotian
    2015 INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND COMMUNICATION NETWORKS (CICN), 2015, : 486 - 489
  • [33] Uncertainty of flatness least-square verification
    Wang, JX
    Jiang, XQ
    Ma, LM
    Xu, ZG
    Li, Z
    PROCEEDINGS OF THE THIRD INTERNATIONAL SYMPOSIUM ON INSTRUMENTATION SCIENCE AND TECHNOLOGY, VOL 1, 2004, : 219 - 223
  • [34] STABILITY, LEAST-SQUARE ESTIMATION AND INNERS
    BERKHOUT, AJ
    JURY, EI
    HUMES, AF
    AUTOMATICA, 1977, 13 (03) : 317 - 318
  • [35] Least-Square Approximation for a Distributed System
    Zhu, Xuening
    Li, Feng
    Wang, Hansheng
    JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2021, 30 (04) : 1004 - 1018
  • [36] Canonical Least-Squares Monte Carlo Valuation of American Options: Convergence and Empirical Pricing Analysis
    Yu, Xisheng
    Liu, Qiang
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [37] On the Loss Robustness of Least-Square Estimators
    Ghosh, Tamal
    Ghosh, Malay
    Kubokawa, Tatsuya
    AMERICAN STATISTICIAN, 2020, 74 (01): : 64 - 67
  • [38] Robust estimation of least absolute summation and least-square
    Zhang, Shubi
    Gao, Jingxiang
    Gao, Shan
    Wang, Zhiyuan
    Zhongguo Kuangye Daxue Xuebao/Journal of China University of Mining & Technology, 1998, 27 (01): : 76 - 79
  • [39] LEAST-SQUARE RESIDUES IN LINEAR ELASTICITY
    LEE, KN
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1974, 41 (02): : 533 - 534
  • [40] A LEAST-SQUARE APPLICATION TO RELAXATION METHODS
    BOWIE, OL
    JOURNAL OF APPLIED PHYSICS, 1947, 18 (09) : 830 - 833