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
收藏
页码:1745 / 1763
页数:19
相关论文
共 50 条
  • [21] Pricing for a vulnerable bull spread options using a mixed modified fractional Hull-White-Vasicek model
    Djeutcha, Eric
    Kamdem, Jules Sadefo
    ANNALS OF OPERATIONS RESEARCH, 2024, 334 (1-3) : 101 - 131
  • [22] DG Method for Pricing European Options under Merton Jump-Diffusion Model
    Hozman, Jiri
    Tichy, Tomas
    Vlasak, Miloslav
    APPLICATIONS OF MATHEMATICS, 2019, 64 (05) : 501 - 530
  • [23] DG Method for Pricing European Options under Merton Jump-Diffusion Model
    Jiří Hozman
    Tomáš Tichý
    Miloslav Vlasák
    Applications of Mathematics, 2019, 64 : 501 - 530
  • [24] Multigrid method for pricing European options under the CGMY process
    Wan, Justin W. L.
    AIMS MATHEMATICS, 2019, 4 (06): : 1745 - 1767
  • [25] Analytically pricing double barrier options based on a time-fractional Black-Scholes equation
    Chen, Wenting
    Xu, Xiang
    Zhu, Song-Ping
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 69 (12) : 1407 - 1419
  • [26] A spectral collocation method based on fractional Pell functions for solving time-fractional Black-Scholes option pricing model
    Taghipour, M.
    Aminikhah, H.
    CHAOS SOLITONS & FRACTALS, 2022, 163
  • [27] A reliable treatment of residual power series method for time-fractional Black-Scholes European option pricing equations
    Dubey, Ved Prakash
    Kumar, Rajnesh
    Kumar, Devendra
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 533
  • [28] Optimizing option pricing: Exact and approximate solutions for the time-fractional Ivancevic model
    Ali, Khalid K.
    Maaty, M. A.
    Maneea, M.
    ALEXANDRIA ENGINEERING JOURNAL, 2023, 84 : 59 - 70
  • [29] A novel analytical technique for the solution of time-fractional Ivancevic option pricing model
    Jena, Rajarama Mohan
    Chakraverty, Snehashish
    Baleanu, Dumitru
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 550
  • [30] Analysing time-fractional exotic options via efficient local meshless method
    Inc, Mustafa
    Khan, Muhammad Nawaz
    Ahmad, Imtiaz
    Yao, Shao-Wen
    Ahmad, Hijaz
    Thounthong, Phatiphat
    RESULTS IN PHYSICS, 2020, 19