A New Stabled Relaxation Method for Pricing European Options Under the Time-Fractional Vasicek Model

被引:4
|
作者
Kharrat, Mohamed [1 ]
Arfaoui, Hassen [1 ]
机构
[1] Jouf Univ, Coll Sci, Math Dept, Sakaka, Saudi Arabia
关键词
Pricing European option; Fractional Vasicek model; Splitting method; SYSTEM; ORDER;
D O I
10.1007/s10614-022-10264-4
中图分类号
F [经济];
学科分类号
02 ;
摘要
Our objective is to solve the time-fractional Vasicek model for European options with a new stabled relaxation method. This new approach is based on the splitting method. Some numerical tests are presented to show the stability and the reliability of our approach with the theory of options.
引用
下载
收藏
页码:1745 / 1763
页数:19
相关论文
共 50 条
  • [1] A New Stabled Relaxation Method for Pricing European Options Under the Time-Fractional Vasicek Model
    Mohamed Kharrat
    Hassen Arfaoui
    Computational Economics, 2023, 61 : 1745 - 1763
  • [2] Calibration of time-dependent volatility for European options under the fractional Vasicek model
    Zhao, Jiajia
    Xu, Zuoliang
    AIMS MATHEMATICS, 2022, 7 (06): : 11053 - 11069
  • [3] A new method for option pricing via time-fractional PDE
    Saberi, Elaheh
    Hejazi, S. Reza
    Dastranj, Elham
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2018, 11 (05)
  • [4] Simultaneous Calibration of European Option Volatility and Fractional Order under the Time Fractional Vasicek Model
    Du, Yunkang
    Xu, Zuoliang
    ALGORITHMS, 2024, 17 (02)
  • [5] Numerical Method for American Option Pricing under the Time-Fractional Black-Scholes Model
    Sun, Yesen
    Gong, Wenxiu
    Dai, Hongliang
    Yuan, Long
    Mathematical Problems in Engineering, 2023, 2023
  • [6] Numerically pricing double barrier options in a time-fractional Black-Scholes model
    De Staelen, R. H.
    Hendy, A. S.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (06) : 1166 - 1175
  • [7] A second order numerical method for the time-fractional Black-Scholes European option pricing model
    Kazmi, Kamran
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 418
  • [8] THE PRICING OF QUANTO OPTIONS UNDER THE VASICEK'S SHORT RATE MODEL
    Lee, Jaesung
    Lee, Youngrok
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 31 (02): : 415 - 422
  • [9] Asian option pricing under sub-fractional vasicek model
    Tao, Lichao
    Lai, Yuefu
    Ji, Yanting
    Tao, Xiangxing
    QUANTITATIVE FINANCE AND ECONOMICS, 2023, 7 (03): : 403 - 419
  • [10] Numerical Methods for Pricing American Options with Time-Fractional PDE Models
    Zhou, Zhiqiang
    Gao, Xuemei
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016