Reconstruction of the Stochastic Volatility Based on the Black-Scholes Option Pricing Model

被引:0
|
作者
Han, Yi-tong [1 ]
Jiang, Ming-hui [1 ]
Dou, Yi-xin [2 ]
机构
[1] Harbin Inst Technol, Sch Management, Harbin 150001, Peoples R China
[2] Harbin Univ Commerce, Sch Finance, Harbin 150001, Peoples R China
来源
INTERNATIONAL CONFERENCE ON COMPUTER, NETWORK SECURITY AND COMMUNICATION ENGINEERING (CNSCE 2014) | 2014年
关键词
Option pricing; Black-Scholes model; Inverse problem; Ill-posedness; Regularized-Gauss-Newton method;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates the inverse problem of a stochastic volatility based on the Black-Scholes option pricing model. In order to overcome the ill-posedness of reconstructing a stochastic volatility, a regularized-Gauss-Newton method is applied to solve the inverse problem. Numerical examples show that the reconstruction algorithm is convergence and stable.
引用
收藏
页码:573 / 576
页数:4
相关论文
共 50 条
  • [21] The Black-Scholes equation in stochastic volatility models
    Ekstrom, Erik
    Tysk, Johan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 368 (02) : 498 - 507
  • [22] Adaptive-Wave Alternative for the Black-Scholes Option Pricing Model
    Vladimir G. Ivancevic
    Cognitive Computation, 2010, 2 : 17 - 30
  • [23] The Black-Scholes Option Pricing Model under Dividend payment conditions
    Sun Xiaolei
    Hu Yue
    Wang Shuyu
    PROCEEDINGS OF INTERNATIONAL SYMPOSIUM ON STATISTICS AND MANAGEMENT SCIENCE 2010, 2010, : 318 - 322
  • [24] EMPIRICAL-EXAMINATION OF THE BLACK-SCHOLES CALL OPTION PRICING MODEL
    MACBETH, JD
    MERVILLE, LJ
    JOURNAL OF FINANCE, 1979, 34 (05): : 1173 - 1186
  • [25] Incorporation of Fuzzy Logic to the Black-Scholes Model in Exchange Option Pricing
    Munoz Palma, Manuel
    Aviles Ochoa, Ezequiel
    PROCEEDINGS OF THE FOURTH INTERNATIONAL WORKSHOP ON KNOWLEDGE DISCOVERY, KNOWLEDGE MANAGEMENT AND DECISION SUPPORT (EUREKA-2013), 2013, 51 : 79 - 87
  • [26] Adaptive-Wave Alternative for the Black-Scholes Option Pricing Model
    Ivancevic, Vladimir G.
    COGNITIVE COMPUTATION, 2010, 2 (01) : 17 - 30
  • [27] An Approximate Formula for Pricing American Option in the Fractional Black-Scholes Model
    Lin Hanyan
    PROCEEDINGS OF 2017 9TH INTERNATIONAL CONFERENCE ON MEASURING TECHNOLOGY AND MECHATRONICS AUTOMATION (ICMTMA), 2017, : 260 - 262
  • [28] Study on black-scholes stock option pricing model based on dynamic investment strategy
    Wang, Xuefeng
    Wang, Lin
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2007, 3 (6B): : 1755 - 1780
  • [29] Validation of the Black-Scholes model as a financial call option pricing tool
    Mendez, Leonel Antonio Flores
    Rivas, Oliver David Morales
    Rodriguez, Frank Eduardo Matus
    REICE-REVISTA ELECTRONICA DE INVESTIGACION EN CIENCIAS ECONOMICAS, 2024, 12 (23): : 408 - 434
  • [30] The Black-Scholes Formulation of Option Pricing with Credit Risk
    Wang, Zhaohai
    PROCEEDINGS OF THE 2013 INTERNATIONAL CONFERENCE ON INFORMATION, BUSINESS AND EDUCATION TECHNOLOGY (ICIBET 2013), 2013, 26 : 483 - 486