Valuation of European Options with Liquidity Shocks Switching by Fitted Finite Volume Method

被引:2
|
作者
Koleva, Miglena N. [1 ]
Vulkov, Lubin G. [1 ]
机构
[1] Univ Ruse, 8 Studentska Str, Ruse 7017, Bulgaria
关键词
PARABOLIC-ODE SYSTEM; SCHEMES;
D O I
10.1007/978-3-030-41032-2_67
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In the present paper, we construct a superconvergent fitted finite volume method (FFVM) for pricing European option with switching liquidity shocks. We investigate some basic properties of the numerical solution and establish superconvergence in maximal discrete norm. An efficient algorithm, governing the degeneracy and exponential non-linearity in the problem, is proposed. Results from various numerical experiments with different European options are provided.
引用
收藏
页码:584 / 592
页数:9
相关论文
共 50 条
  • [1] A Fitted Finite Volume Method for the Valuation of Options on Assets with Stochastic Volatilities
    C.-S. Huang
    C.-H. Hung
    S. Wang
    Computing, 2006, 77 : 297 - 320
  • [2] A fitted finite volume method for the valuation of options on assets with stochastic volatilities
    Huang, CS
    Hung, CH
    Wang, S
    COMPUTING, 2006, 77 (03) : 297 - 320
  • [3] On convergence of a fitted finite-volume method for the valuation of options on assets with stochastic volatilities
    Huang, C. -S.
    Hung, C. -H.
    Wang, Song
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2010, 30 (04) : 1101 - 1120
  • [4] PRICING EUROPEAN OPTIONS ON ZERO-COUPON BONDS WITH A FITTED FINITE VOLUME METHOD
    Zhang, Kai
    Yang, Xiao Qi
    INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2017, 14 (03) : 405 - 418
  • [5] Valuation of vulnerable European options with market liquidity risk
    Pan, Yihao
    Tang, Dan
    Wang, Xingchun
    PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2024, 38 (01) : 65 - 81
  • [6] A Superconvergent Fitted Finite Volume Method for Black-Scholes Equations Governing European and American Option Valuation
    Wang, Song
    Zhang, Shuhua
    Fang, Zhiwei
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 31 (04) : 1190 - 1208
  • [7] A fitted finite volume method for real option valuation of risks in climate change
    Chang, Shuhua
    Wang, Jing
    Wang, Xinyu
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 70 (05) : 1198 - 1219
  • [8] Pricing American Options under Regime-Switching Model with a Crank-Nicolson Fitted Finite Volume Method
    Gan, Xiaoting
    Yin, Junfeng
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2020, 10 (03) : 499 - 519
  • [9] Pricing options under jump diffusion processes with fitted finite volume method
    Zhang, Kai
    Wang, Song
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 201 (1-2) : 398 - 413
  • [10] Finite volume methods for the valuation of American options
    Berton, Julien
    Eymard, Robert
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2006, 40 (02): : 311 - 330