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Options with Constant Underlying Elasticity in Strikes

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  • Lloyd Blenman
  • Steven Clark

Abstract

Closed-form solutions are derived and interpreted for European options, with stochastic strike prices, that maintain constant elasticity of the strike with respect to the price of the underlying asset. We refer to such options as CUES. CUES preserve the relative shares of exercise price risk for both the buyer and writer of the option, regardless of whether the price of the underlying asset moves up or down. The relevance of the CUES concept is established through applications in two distinct fields. First, it is established that CUES-like options are embedded in private equity investments. This concept is then used in a novel application to determine the equity share of a private company corresponding to a given level of investment. Secondly, the advantages that CUES would provide over traditional executive stock option grants are considered and it is shown that CUES can provide enhanced incentive-alignment without increasing options expense to the company. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Lloyd Blenman & Steven Clark, 2005. "Options with Constant Underlying Elasticity in Strikes," Review of Derivatives Research, Springer, vol. 8(2), pages 67-83, August.
    • Handle: RePEc:kap:revdev:v:8:y:2005:i:2:p:67-83
    DOI: 10.1007/s11147-005-3850-z
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    References listed on IDEAS

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    10. repec:bla:jfinan:v:59:y:2004:i:1:p:207-225 is not listed on IDEAS
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    Cited by:

    1. Philippe Jacquinot & Nikolay Sukhomlin, 2010. "A direct formulation of implied volatility in the Black- Scholes model," Post-Print hal-02527822, HAL.
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    3. Philippe Jacquinot & Nikolay Sukhomlin, 2010. "A direct formulation of implied volatility in the Black-Scholes model," Post-Print hal-02533014, HAL.

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