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New Splitting Scheme for Pricing American Options Under the Heston Model

Author

Listed:
  • Maryam Safaei

    (Islamic Azad University)

  • Abodolsadeh Neisy

    (Allameh Tabataba’i University)

  • Nader Nematollahi

    (Allameh Tabataba’i University)

Abstract

In this paper, we present a new splitting scheme for pricing the American options under the Heston model. For this purpose, first the price of American put option is modeled, which its underlying asset value follows Heston’s stochastic volatility model , and then it is formulated as a linear complementarity problem (LCP) involving partial differential operator. By using new splitting scheme, the partial differential operator is decomposed into simpler operators in several fractional time steps. These operators are implicitly expressed in the implicit Adams–Moulton method. Then, the two-dimensional LCP is decomposed into three LCPs based on these operators. Each LCP is solved numerically in two steps. The numerical results obtained for the American option pricing problem based on the Heston model are compared with the reference results.

Suggested Citation

  • Maryam Safaei & Abodolsadeh Neisy & Nader Nematollahi, 2018. "New Splitting Scheme for Pricing American Options Under the Heston Model," Computational Economics, Springer;Society for Computational Economics, vol. 52(2), pages 405-420, August.
    • Handle: RePEc:kap:compec:v:52:y:2018:i:2:d:10.1007_s10614-017-9686-4
    DOI: 10.1007/s10614-017-9686-4
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    References listed on IDEAS

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    Cited by:

    1. Kozpınar, Sinem & Uzunca, Murat & Karasözen, Bülent, 2020. "Pricing European and American options under Heston model using discontinuous Galerkin finite elements," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 568-587.
    2. Y. Esmaeelzade Aghdam & A. Neisy & A. Adl, 2024. "Simulating and Pricing CAT Bonds Using the Spectral Method Based on Chebyshev Basis," Computational Economics, Springer;Society for Computational Economics, vol. 63(1), pages 423-435, January.

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