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On the Valuation of Warrants and Executive Stock Options: Pricing Formulae for Firms with Multiple Warrants/Executive Options

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  • Darsinos, T.
  • Satchell, S.E.

Abstract

Textbook treatment the valuation of warrants takes as a state variable the value of the firm and shows that the value of a warrant is equal to that of a call option on the equity of the firm multiplied by a dilution factor. This approach applies only to the case where the firm issues a single warrant, i. e. n warrants with a single exercise price and time to maturity. In this paper we derive distribution-free (and distribution-specific) formulae for the more realist case where firms issue warrants with different maturities, different strike prices and different dilution factors, and for firms that issue warrants of the same maturity but different strike prices (and different dilution factors). The distinction we make between warrants and executive stock options is simply a matter of whether the contract is traded or not. We use the term warrant to cover both cases.

Suggested Citation

  • Darsinos, T. & Satchell, S.E., 2002. "On the Valuation of Warrants and Executive Stock Options: Pricing Formulae for Firms with Multiple Warrants/Executive Options," Cambridge Working Papers in Economics 0218, Faculty of Economics, University of Cambridge.
  • Handle: RePEc:cam:camdae:0218
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    References listed on IDEAS

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    5. Kevin J. Murphy & Brian J. Hall, 2000. "Optimal Exercise Prices for Executive Stock Options," American Economic Review, American Economic Association, vol. 90(2), pages 209-214, May.
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    Cited by:

    1. Nikunj Kapadia & Gregory Willette, 2012. "Equilibrium exercise of European warrants," Review of Derivatives Research, Springer, vol. 15(2), pages 129-156, July.

    More about this item

    Keywords

    valuation; warrants; executive stock options; capital structure; dilution.;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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