Asian Option Pricing under an Uncertain Volatility Model

被引:0
|
作者
Han, Yuecai [1 ]
Liu, Chunyang [1 ]
机构
[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China
关键词
Economics - Financial markets - Nonlinear equations;
D O I
10.1155/2020/4758052
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we study the asymptotic behavior of Asian option prices in the worst-case scenario under an uncertain volatility model. We derive a procedure to approximate Asian option prices with a small volatility interval. By imposing additional conditions on the boundary condition and splitting the obtained Black-Scholes-Barenblatt equation into two Black-Scholes-like equations, we obtain an approximation method to solve a fully nonlinear PDE.
引用
收藏
页数:10
相关论文
共 50 条
  • [41] Option pricing in a stochastic delay volatility model
    Julia, Alvaro Guinea
    Caro-Carretero, Raquel
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (02) : 1927 - 1951
  • [42] Efficient Asian option pricing under regime switching jump diffusions and stochastic volatility models
    Kirkby, J. Lars
    Duy Nguyen
    ANNALS OF FINANCE, 2020, 16 (03) : 307 - 351
  • [43] Option Pricing in Sandwiched Volterra Volatility Model
    Di Nunno, Giulia
    Mishura, Yuliya
    Yurchenko-Tytarenko, Anton
    SIAM JOURNAL ON FINANCIAL MATHEMATICS, 2024, 15 (03): : 824 - 882
  • [44] An empirical model of volatility of returns and option pricing
    McCauley, JL
    Gunaratne, GH
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 329 (1-2) : 178 - 198
  • [45] Efficient Asian option pricing under regime switching jump diffusions and stochastic volatility models
    J. Lars Kirkby
    Duy Nguyen
    Annals of Finance, 2020, 16 : 307 - 351
  • [46] Exponential Ornstein-Uhlenbeck model for Asian barrier option pricing in uncertain environment
    Abbasi, Behzad
    Nouri, Kazem
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2025, 42 (01) : 525 - 551
  • [47] On Pricing Asian Options under Stochastic Volatility
    Russo, Emilio
    Staino, Alessandro
    JOURNAL OF DERIVATIVES, 2016, 23 (04): : 7 - 19
  • [48] Critical value-based Asian option pricing model for uncertain financial markets
    Lu, Ziqiang
    Zhu, Yuanguo
    Li, Bo
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 525 : 694 - 703
  • [49] OPTION PRICING UNDER ORNSTEIN-UHLENBECK STOCHASTIC VOLATILITY: A LINEAR MODEL
    Bormetti, Giacomo
    Cazzola, Valentina
    Delpini, Danilo
    INTERNATIONAL JOURNAL OF THEORETICAL AND APPLIED FINANCE, 2010, 13 (07) : 1047 - 1063
  • [50] Option pricing and hedging under a stochastic volatility L,vy process model
    Kim, Young Shin
    Fabozzi, Frank J.
    Lin, Zuodong
    Rachev, Svetlozar T.
    REVIEW OF DERIVATIVES RESEARCH, 2012, 15 (01) : 81 - 97