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Warrant Pricing Using Observable Variables

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  • Andrey D. Ukhov

Abstract

The classical warrant pricing formula requires knowledge of the firm value and of the firm‐value process variance. When warrants are outstanding, the firm value itself is a function of the warrant price. Firm value and firm‐value variance are then unobservable variables. I develop an algorithm for pricing warrants using stock prices, an observable variable, and stock return variance. The method also enables estimation of firm‐value variance. A proof of existence of the solution is provided.

Suggested Citation

  • Andrey D. Ukhov, 2004. "Warrant Pricing Using Observable Variables," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 27(3), pages 329-339, September.
    • Handle: RePEc:bla:jfnres:v:27:y:2004:i:3:p:329-339
    DOI: 10.1111/j.1475-6803.2004.00100.x
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    Cited by:

    1. Xiao, Wei-Lin & Zhang, Wei-Guo & Zhang, Xili & Zhang, Xiaoli, 2012. "Pricing model for equity warrants in a mixed fractional Brownian environment and its algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6418-6431.
    2. Zhou, Qing & Zhang, Xili, 2020. "Pricing equity warrants in Merton jump–diffusion model with credit risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    3. Ander Olvik & Raul Kangro, 2015. "Pricing of Warrants with Stock Price Dependent Threshold Conditions," Papers 1503.05139, arXiv.org.
    4. José Eduardo Correia & João Duque, 2008. "Dilution and Dividend Effects on the Portuguese Equity Warrants Market," Portuguese Journal of Management Studies, ISEG, Universidade de Lisboa, vol. 0(2), pages 161-192.
    5. Xiao, Weilin & Zhang, Weiguo & Zhang, Xili & Chen, Xiaoyan, 2014. "The valuation of equity warrants under the fractional Vasicek process of the short-term interest rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 320-337.
    6. Xiao, Weilin & Zhang, Xili, 2016. "Pricing equity warrants with a promised lowest price in Merton’s jump–diffusion model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 219-238.
    7. Xiao, Weilin & Zhang, Weiguo & Xu, Weijun & Zhang, Xili, 2012. "The valuation of equity warrants in a fractional Brownian environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1742-1752.
    8. Jean-Guy Simonato, 2015. "New Warrant Issues Valuation with Leverage and Equity Model Errors," Journal of Financial Services Research, Springer;Western Finance Association, vol. 47(2), pages 247-272, April.
    9. Xiao, Wei-Lin & Zhang, Wei-Guo & Yao, Zheng & Wang, Xiao-Hui, 2013. "The impact of issuing warrant and debt on behavior of the firm's stock," Economic Modelling, Elsevier, vol. 31(C), pages 635-641.
    10. Carlos Miguel Glória & José Carlos Dias & Aricson Cruz, 2024. "Pricing levered warrants under the CEV diffusion model," Review of Derivatives Research, Springer, vol. 27(1), pages 55-84, April.

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