PRICING AMERICAN PUT OPTIONS USING MALLIAVIN CALCULUS WITH OPTIMAL LOCALIZATION FUNCTION

被引:1
|
作者
Kharrat, Mohamed [1 ]
机构
[1] Jouf Univ, Coll Sci, Math Dept, POB 2014, Sakaka, Saudi Arabia
来源
关键词
Malliavin calculus; localization function; J-process; American option pricing;
D O I
10.7546/CRABS.2021.10.04
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In order to calculate this conditional expectations E(P-t(S-t) vertical bar (S-s)) for s <= t, in this paper we develop a methodology under the Malliavin calculus using localization function. The introduction of the above process ensures kurtosis and skewness effects, i.e. smile curve, that can be adapted to the realities of the financial market.
引用
收藏
页码:1453 / 1460
页数:8
相关论文
共 50 条
  • [1] PRICING AMERICAN PUT OPTIONS UNDER STOCHASTIC VOLATILITY USING THE MALLIAVIN DERIVATIVE
    Kharrat, Mohamed
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2019, 60 (01): : 137 - 147
  • [2] An Algorithm for the Pricing of Path-Dependent American Options using Malliavin Calculus
    Schellhorn, Henry
    Morris, Hedley
    WCECS 2008: WORLD CONGRESS ON ENGINEERING AND COMPUTER SCIENCE, 2008, : 1035 - 1038
  • [3] Pricing and hedging American options by Monte Carlo methods using a Malliavin calculus approach
    Bally, Vlad
    Caramellino, Lucia
    Zanette, Antonino
    MONTE CARLO METHODS AND APPLICATIONS, 2005, 11 (02): : 97 - 133
  • [4] Conditional expectation determination based on the J-process using Malliavin calculus applied to pricing American options
    Jerbi, Yacin
    Kharrat, Mohamed
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2014, 84 (11) : 2465 - 2473
  • [5] Computation of conditional expectation based on the multidimensional J-process using Malliavin calculus related to pricing American options
    Kharrat, Mohamed
    TURKISH JOURNAL OF MATHEMATICS, 2017, 41 (02) : 381 - +
  • [6] Pricing American Put Options Using the Mean Value Theorem
    Tung, Humphrey K. K.
    JOURNAL OF FUTURES MARKETS, 2016, 36 (08) : 793 - 815
  • [7] Pricing perpetual American catastrophe put options: A penalty function approach
    Lin, X. Sheldon
    Wang, Tao
    INSURANCE MATHEMATICS & ECONOMICS, 2009, 44 (02): : 287 - 295
  • [8] Pricing formulae for derivatives in insurance using Malliavin calculus
    Hillairet, Caroline
    Jiao, Ying
    Reveillac, Anthony
    PROBABILITY UNCERTAINTY AND QUANTITATIVE RISK, 2018, 3
  • [9] Monte Carlo estimation of a joint density using Malliavin calculus, and application to American options
    Mrad M.
    Touzi N.
    Zeghal A.
    Computational Economics, 2006, 27 (4) : 497 - 531
  • [10] Neural Network Pricing of American Put Options
    Gaspar, Raquel M.
    Lopes, Sara D.
    Sequeira, Bernardo
    RISKS, 2020, 8 (03) : 1 - 24