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A binomial model for pricing US-style average options with reset features

Author

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  • Massimo Costabile
  • Ivar Massabo
  • Emilio Russo

Abstract

We develop a pricing algorithm for US-style period-average reset options written on an underlying asset which evolves in a Cox-Ross-Rubinstein (CRR) framework. The averaging feature of such an option on the reset period makes the price valuation problem computationally unfeasible because the arithmetic average is not recombining on a CRR tree. To overcome this obstacle, we associate to each node of the lattice belonging to the reset period a set of representative averages chosen among all the effective arithmetic averages attained at that node. On the remaining time to maturity, a US period-average reset option becomes a US standard one and the Barone Adesi-Whaley approximation is used to compute an option value in correspondence to each representative average lain at the end of the reset period.

Suggested Citation

  • Massimo Costabile & Ivar Massabo & Emilio Russo, 2010. "A binomial model for pricing US-style average options with reset features," International Journal of Financial Markets and Derivatives, Inderscience Enterprises Ltd, vol. 1(3), pages 258-273.
    • Handle: RePEc:ids:ijfmkd:v:1:y:2010:i:3:p:258-273
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    Cited by:

    1. Guangming Xue & Bin Qin & Guohe Deng, 2018. "Valuation on an Outside-Reset Option with Multiple Resettable Levels and Dates," Complexity, Hindawi, vol. 2018, pages 1-13, April.

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