Using stochastic approximation for parameter estimation in option pricing

被引:0
|
作者
Yin, G. [1 ]
Zhang, Q. [2 ]
Zhuang, C. [2 ]
机构
[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
[2] Univ Georgia, Dept Math, Athens, GA 30602 USA
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper focuses on option pricing using a stochastic optimization algorithm. The underlying stock price changes according to a set of geometric Brownian motions coupled by a continuous-time finite state Markov chain. A recursive stochastic optimization algorithm is constructed to estimate the implied volatility. Convergence analysis of the algorithm is provided together with rate of convergence. Real market data is used to compare our algorithm with other schemes.
引用
收藏
页码:5951 / +
页数:2
相关论文
共 50 条
  • [1] Stochastic approximation algorithms for parameter estimation in option pricing with regime switching
    Yin, G.
    Zhang, Q.
    Zhuang, C.
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2007, 25 (06) : 1243 - 1261
  • [2] Parameter estimation using simultaneous perturbation stochastic approximation
    Hirokami, T
    Maeda, Y
    Tsukada, H
    ELECTRICAL ENGINEERING IN JAPAN, 2006, 154 (02) : 30 - 39
  • [3] Estimation of stochastic volatility models for the purpose of option pricing
    Chernov, M
    Ghysels, E
    COMPUTATIONAL FINANCE 1999, 2000, : 567 - 581
  • [4] Option pricing using stochastic volatility models
    Nögel, U
    PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2002, 2004, 5 : 221 - 225
  • [5] A stochastic approximation algorithm for option pricing model calibration with a switchable market
    Yin, G.
    Yu, J.
    Zhang, Q.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (15) : 3525 - 3545
  • [6] Approximation methods of European option pricing in multiscale stochastic volatility model
    Ni, Ying
    Canhanga, Betuel
    Malyarenko, Anatoliy
    Silvestrov, Sergei
    ICNPAA 2016 WORLD CONGRESS: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES, 2017, 1798
  • [7] Application of GSO Algorithm to the Parameter Estimation of Option Pricing Model
    Mo, Yuanbin
    Liu, Fuyong
    Ma, Yanzhui
    INTELLIGENT COMPUTING THEORIES, 2013, 7995 : 199 - 206
  • [8] Option Pricing, Model Calibration, and Prediction with a Switchable Market: A Stochastic Approximation Algorithm
    Yin, G.
    Yu, J.
    Zhang, Q.
    49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 6997 - 7002
  • [9] EXPLICIT HESTON SOLUTIONS AND STOCHASTIC APPROXIMATION FOR PATH-DEPENDENT OPTION PRICING
    Kouritzin, Michael A.
    INTERNATIONAL JOURNAL OF THEORETICAL AND APPLIED FINANCE, 2018, 21 (01)
  • [10] Parameter estimation approach to the free boundary for the pricing of an American call option
    Cho, Chung-Ki
    Kang, Sunbu
    Kim, Taekkeun
    Kwon, Yonghoon
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 51 (05) : 713 - 720