Numerical Simulation of Black-Scholes Model by Finite Difference Method

被引:0
|
作者
Dong, Lele [1 ]
Xue, Lian [1 ]
Lin, Leiwei [1 ]
Chen, Tuo
Wu, Minghui [1 ]
机构
[1] Zhejiang Univ City Coll, Sch Comp & Comp Sci, Hangzhou 310015, Zhejiang, Peoples R China
来源
APPLIED SCIENCE, MATERIALS SCIENCE AND INFORMATION TECHNOLOGIES IN INDUSTRY | 2014年 / 513-517卷
关键词
Option; Black-Scholes Equation; Numerical Solution;
D O I
10.4028/www.scientific.net/AMM.513-517.4090
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Option is the typical representative of financial derivatives, and this paper is focused on the valuation problem of Option. Based on the Black-Scholes Pricing model which had far-reaching influence on the pricing of financial derivatives, researched its theoretical basis and derivation process, and then get the numerical solution via finite difference method and image simulation. And it also includes the part of empirical studies. In research, ZTR and HQ is chosen and analyzed, in order to get the pricing of European put option.
引用
收藏
页码:4090 / +
页数:2
相关论文
共 50 条
  • [41] Difference in Option Pricing Between Binomial and Black-Scholes Model
    Florianova, Hana
    Chmelikova, Barbora
    MANAGING AND MODELLING OF FINANCIAL RISKS: 7TH INTERNATIONAL SCIENTIFIC CONFERENCE, PTS I-III, 2014, : 198 - 202
  • [42] Numerical Simulation for Multi-asset Derivatives Pricing Under Black-Scholes Model
    Mehrdoust, F.
    Fathi, K.
    Rahimi, A. A.
    CHIANG MAI JOURNAL OF SCIENCE, 2013, 40 (04): : 725 - 735
  • [43] A FAST AND HIGH ACCURACY NUMERICAL SIMULATION FOR A FRACTIONAL BLACK-SCHOLES MODEL ON TWO ASSETS
    Hongmei Zhang
    Fawang Liu
    Shanzhen Chen
    Ming Shen
    Annals of Applied Mathematics, 2020, 36 (01) : 91 - 110
  • [44] The relativistic Black-Scholes model
    Trzetrzelewski, Maciej
    EPL, 2017, 117 (03)
  • [45] NUMERICAL APPROXIMATION OF BLACK-SCHOLES EQUATION
    Dura, Gina
    Mosneagu, Ana-Maria
    ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2010, 56 (01): : 39 - 64
  • [46] A fast numerical method for the Black-Scholes equation of American options
    Han, H
    Wu, XN
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2003, 41 (06) : 2081 - 2095
  • [47] Fast and efficient numerical methods for an extended Black-Scholes model
    Bhowmik, Samir Kumar
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 67 (03) : 636 - 654
  • [48] AN ADAPTIVE FINITE DIFFERENCE METHOD USING FAR-FIELD BOUNDARY CONDITIONS FOR THE BLACK-SCHOLES EQUATION
    Jeong, Darae
    Ha, Taeyoung
    Kim, Myoungnyoun
    Shin, Jaemin
    Yoon, In-Han
    Kim, Junseok
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (04) : 1087 - 1100
  • [49] Optimal non-uniform finite difference grids for the Black-Scholes equations
    Lyu, Jisang
    Park, Eunchae
    Kim, Sangkwon
    Lee, Wonjin
    Lee, Chaeyoung
    Yoon, Sungha
    Park, Jintae
    Kim, Junseok
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 182 : 690 - 704
  • [50] A SPLITTING FLUX LIMITER FINITE DIFFERENCE SCHEME FOR THE NONLINEAR BLACK-SCHOLES EQUATION
    Koleva, Miglena N.
    Vulkov, Lubin G.
    APPLIED AND COMPUTATIONAL MATHEMATICS, 2014, 13 (03) : 381 - 395