Asian-barrier option pricing formulas of uncertain financial market

被引:50
|
作者
Yang, Xiangfeng [1 ]
Zhang, Zhiqiang [2 ]
Gao, Xin [3 ]
机构
[1] Univ Int Business & Econ, Sch Informat Technol & Management, Beijing 100029, Peoples R China
[2] Shanxi Datong Univ, Sch Math & Stat, Datong 037009, Peoples R China
[3] North China Elect Power Univ, Sch Math Sci & Phys, Beijing 102206, Peoples R China
关键词
Uncertainty theory; Uncertain stock model; Barrier option; Asian option; Option pricing; STOCK MODEL;
D O I
10.1016/j.chaos.2019.03.037
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Barrier option is an exotic option on an underlying asset whose payoff depends on whether or not the underlying asset's price has reached predetermined barrier level. This paper mainly investigates Asian-barrier option pricing problem under uncertain financial market. Assume that stock price follows an uncertain differential equation, some Asian-barrier option pricing formulas are derived. Moreover, several numerical examples are given to illustrate the effectiveness of the proposed model. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码:79 / 86
页数:8
相关论文
共 50 条
  • [1] Power-barrier option pricing formulas in uncertain financial market with floating interest rate
    Zhao, Hua
    Xin, Yue
    Gao, Jinwu
    Gao, Yin
    AIMS MATHEMATICS, 2023, 8 (09): : 20395 - 20414
  • [2] Geometric Asian barrier option pricing formulas of uncertain stock model
    Gao, Rong
    Wu, Wei
    Lang, Chao
    Lang, Liying
    CHAOS SOLITONS & FRACTALS, 2020, 140
  • [3] Pricing formulas of barrier-lookback option in uncertain financial markets
    Gao, Yin
    Jia, Lifen
    CHAOS SOLITONS & FRACTALS, 2021, 147
  • [4] Barrier option pricing formulas of an uncertain stock model
    Yao, Kai
    Qin, Zhongfeng
    FUZZY OPTIMIZATION AND DECISION MAKING, 2021, 20 (01) : 81 - 100
  • [5] Barrier option pricing formulas of an uncertain stock model
    Kai Yao
    Zhongfeng Qin
    Fuzzy Optimization and Decision Making, 2021, 20 : 81 - 100
  • [6] Pricing rainbow option for uncertain financial market
    Gao, Rong
    Wu, Xiaoli
    RAIRO-OPERATIONS RESEARCH, 2022, 56 (06) : 3973 - 3989
  • [7] Pricing of shout option in uncertain financial market
    Li, Haoxuan
    Yang, Xiangfeng
    Ni, Yaodong
    FUZZY OPTIMIZATION AND DECISION MAKING, 2024, 23 (03) : 449 - 467
  • [8] Option pricing formulas for uncertain financial market based on the exponential Ornstein–Uhlenbeck model
    Lanruo Dai
    Zongfei Fu
    Zhiyong Huang
    Journal of Intelligent Manufacturing, 2017, 28 : 597 - 604
  • [9] Asian rainbow option pricing formulas of uncertain stock model
    Rong Gao
    Wei Wu
    Jie Liu
    Soft Computing, 2021, 25 : 8849 - 8873
  • [10] Asian rainbow option pricing formulas of uncertain stock model
    Gao, Rong
    Wu, Wei
    Liu, Jie
    SOFT COMPUTING, 2021, 25 (14) : 8849 - 8873