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The valuation of reset options with multiple strike resets and reset dates

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  • Szu‐Lang Liao
  • Chou‐Wen Wang

Abstract

This article makes two contributions to the literature. The first contribution is to provide the closed‐form pricing formulas of reset options with strike resets and predecided reset dates. The exact closed‐form pricing formulas of reset options with strike resets and continuous reset period are also derived. The second contribution is the finding that the reset options not only have the phenomena of Delta jump and Gamma jump across reset dates, but also have the properties of Delta waviness and Gamma waviness, especially near the time before reset dates. Furthermore, Delta and Gamma can be negative when the stock price is near the strike resets at times close to the reset dates. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:87–107,2003

Suggested Citation

  • Szu‐Lang Liao & Chou‐Wen Wang, 2003. "The valuation of reset options with multiple strike resets and reset dates," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 23(1), pages 87-107, January.
    • Handle: RePEc:wly:jfutmk:v:23:y:2003:i:1:p:87-107
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    Cited by:

    1. Damien Ackerer & Damir Filipovic & Sergio Pulido, 2017. "The Jacobi Stochastic Volatility Model," Working Papers hal-01338330, HAL.
    2. Rojas-Bernal, Alejandro & Villamizar-Villegas, Mauricio, 2021. "Pricing the exotic: Path-dependent American options with stochastic barriers," Latin American Journal of Central Banking (previously Monetaria), Elsevier, vol. 2(1).
    3. Chun-Ying Chen & Hsiao-Chuan Wang & Jr-Yan Wang, 2015. "The valuation of forward-start rainbow options," Review of Derivatives Research, Springer, vol. 18(2), pages 145-188, July.
    4. Damien Ackerer & Damir Filipovi'c & Sergio Pulido, 2016. "The Jacobi Stochastic Volatility Model," Papers 1605.07099, arXiv.org, revised Mar 2018.
    5. 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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