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The pricing and optimal strategies of callable warrants

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  • Yagi, Kyoko
  • Sawaki, Katsushige

Abstract

In this paper, we introduce a valuation model of callable warrants under a setting of the optimal stopping problem between the holder (investor) and the issuer (firm). A warrant is the right to purchase new shares at a predetermined price. When the new stocks are issued, the value of the stock is diluted. We consider the model taking the dilution into account. After identifying optimal policies for the issuer and the investor, we explore the analytical properties of the optimal exercise and call boundaries for the holder and the issuer, respectively. Furthermore, the value of such a callable warrant and the optimal critical prices are examined numerically using the binomial method.

Suggested Citation

  • Yagi, Kyoko & Sawaki, Katsushige, 2010. "The pricing and optimal strategies of callable warrants," European Journal of Operational Research, Elsevier, vol. 206(1), pages 123-130, October.
    • Handle: RePEc:eee:ejores:v:206:y:2010:i:1:p:123-130
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    References listed on IDEAS

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    Cited by:

    1. Wong, Tat Wing & Fung, Ka Wai Terence & Leung, Kwai Sun, 2020. "Strategic bank closure and deposit insurance valuation," European Journal of Operational Research, Elsevier, vol. 285(1), pages 96-105.
    2. Yuri Kifer, 2012. "Dynkin Games and Israeli Options," Papers 1209.1791, arXiv.org.
    3. 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.
    4. 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).

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