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The risk-shifting effect and the value of a warrant

Author

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  • Emanuele Bajo
  • Massimiliano Barbi

Abstract

The exercise of a warrant leads to the well-known dilution phenomenon, the effects of which have been extensively studied over the last four decades. In contrast, the existing literature has paid inadequate attention to the volatility spillover between stockholders and warrant holders. This 'risk-shifting effect' has significant implications for warrant pricing, since any formula that assumes a constant volatility of stock returns produces a bias. In this paper we show that a CEV process with a specific elasticity parameter properly models the stochastic volatility of stock returns for a firm with warrants outstanding. In addition, we propose an approximate analytical formula, exclusively based on observable market variables, that is able to absorb the risk-shifting bias.

Suggested Citation

  • Emanuele Bajo & Massimiliano Barbi, 2010. "The risk-shifting effect and the value of a warrant," Quantitative Finance, Taylor & Francis Journals, vol. 10(10), pages 1203-1213.
    • Handle: RePEc:taf:quantf:v:10:y:2010:i:10:p:1203-1213
    DOI: 10.1080/14697680902953841
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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).
    6. Bajo, Emanuele & Barbi, Massimiliano, 2012. "The role of time value in convertible bond call policy," Journal of Banking & Finance, Elsevier, vol. 36(2), pages 550-563.
    7. 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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