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Fast binomial procedures for pricing Parisian/ParAsian options

Author

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  • Marcellino Gaudenzi

    (Universitá di Udine)

  • Antonino Zanette

    (Universitá di Udine)

Abstract

The discrete procedures for pricing Parisian/ParAsian options depend, in general, on three dimensions: time, space, time spent over the barrier. Here we present some combinatorial and lattice procedures which reduce the computational complexity to second order. In the European case the reduction was already given by Lyuu and Wu (Decisions Econ Finance 33(1):49–61, 2010) and Li and Zhao (J Deriv 16(4):72–81, 2009), in this paper we present a more efficient procedure in the Parisian case and a different approach (again of order 2) in the ParAsian case. In the American case we present new procedures which decrease the complexity of the pricing problem for the Parisian/ParAsian knock-in options. The reduction of complexity for Parisian/ParAsian knock-out options is still an open problem.

Suggested Citation

  • Marcellino Gaudenzi & Antonino Zanette, 2017. "Fast binomial procedures for pricing Parisian/ParAsian options," Computational Management Science, Springer, vol. 14(3), pages 313-331, July.
    • Handle: RePEc:spr:comgts:v:14:y:2017:i:3:d:10.1007_s10287-017-0278-5
    DOI: 10.1007/s10287-017-0278-5
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    References listed on IDEAS

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    1. Figlewski, Stephen & Gao, Bin, 1999. "The adaptive mesh model: a new approach to efficient option pricing," Journal of Financial Economics, Elsevier, vol. 53(3), pages 313-351, September.
    2. Marcellino Gaudenzi & Antonino Zanette, 2009. "Pricing American barrier options with discrete dividends by binomial trees," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 32(2), pages 129-148, November.
    3. Yuh-Dauh Lyuu & Cheng-Wei Wu, 2010. "An improved combinatorial approach for pricing Parisian options," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 33(1), pages 49-61, May.
    4. Marco Avellaneda & Lixin Wu, 1999. "Pricing Parisian-Style Options With A Lattice Method," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 2(01), pages 1-16.
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    Cited by:

    1. Anna Battauz & Francesco Rotondi, 2022. "American options and stochastic interest rates," Computational Management Science, Springer, vol. 19(4), pages 567-604, October.

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