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Warrant Pricing: Jump-Diffusion vs. Black-Scholes

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  • Kremer, Joseph W.
  • Roenfeldt, Rodney L.

Abstract

This paper investigates the warrant pricing abilities of dilution-adjusted versions of the Black-Scholes and Jump-Diffusion option pricing models. Because of the typically long lives of warrants, their pricing is hypothesized to benefit from use of the Jump-Diffusion model, which relaxes the Black-Scholes restriction against stock price jumps. Empirical results indicate that while the Black-Scholes model almost uniformly provides more efficient estimates, the Jump-Diffusion model generally provides less biased estimates of market value. Particularly for the valuation of out-of-the-money warrants and warrants on stocks with a history of large and/or frequent jumps, the Jump-Diffusion model may be preferred.

Suggested Citation

  • Kremer, Joseph W. & Roenfeldt, Rodney L., 1993. "Warrant Pricing: Jump-Diffusion vs. Black-Scholes," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(2), pages 255-272, June.
    • Handle: RePEc:cup:jfinqa:v:28:y:1993:i:02:p:255-272_00
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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. Frans De Roon & Chris Veld, 1996. "An empirical investigation of the factors that determine the pricing of Dutch index warrants," European Financial Management, European Financial Management Association, vol. 2(1), pages 97-112, March.
    4. 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.
    5. Foad Shokrollahi, 2017. "Valuation of equity warrants for uncertain financial market," Papers 1711.08356, arXiv.org, revised Nov 2017.
    6. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    7. 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.

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