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ESG-valued discrete option pricing in complete markets

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  • Yuan Hu
  • W. Brent Lindquist
  • Svetlozar T. Rachev

Abstract

We consider option pricing using replicating binomial trees, with a two fold purpose. The first is to introduce ESG valuation into option pricing. We explore this in a number of scenarios, including enhancement of yield due to trader information and the impact of the past history of a market driver. The second is to emphasize the use of discrete dynamic pricing, rather than continuum models, as the natural model that governs actual market practice. We further emphasize that discrete option pricing models must use discrete compounding (such as risk-free rate compounding of $1+r_f \Delta t$) rather than continuous compounding (such as $e^{r_f \Delta t})$.

Suggested Citation

  • Yuan Hu & W. Brent Lindquist & Svetlozar T. Rachev, 2022. "ESG-valued discrete option pricing in complete markets," Papers 2209.06276, arXiv.org.
  • Handle: RePEc:arx:papers:2209.06276
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    1. Thomas Berry & Joan Junkus, 2013. "Socially Responsible Investing: An Investor Perspective," Journal of Business Ethics, Springer, vol. 112(4), pages 707-720, February.
    2. Hao Liang & Luc Renneboog, 2017. "On the Foundations of Corporate Social Responsibility," Journal of Finance, American Finance Association, vol. 72(2), pages 853-910, April.
    3. Kim, Young Shin & Stoyanov, Stoyan & Rachev, Svetlozar & Fabozzi, Frank J., 2019. "Enhancing binomial and trinomial equity option pricing models," Finance Research Letters, Elsevier, vol. 28(C), pages 185-190.
    4. Samuel M. Hartzmark & Abigail B. Sussman, 2019. "Do Investors Value Sustainability? A Natural Experiment Examining Ranking and Fund Flows," Journal of Finance, American Finance Association, vol. 74(6), pages 2789-2837, December.
    5. Roland Bénabou & Jean Tirole, 2010. "Individual and Corporate Social Responsibility," Economica, London School of Economics and Political Science, vol. 77(305), pages 1-19, January.
    6. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    7. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    8. Karl V. Lins & Henri Servaes & Ane Tamayo, 2017. "Social Capital, Trust, and Firm Performance: The Value of Corporate Social Responsibility during the Financial Crisis," Journal of Finance, American Finance Association, vol. 72(4), pages 1785-1824, August.
    9. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    10. Yacine Aït-Sahalia & Jean Jacod, 2014. "High-Frequency Financial Econometrics," Economics Books, Princeton University Press, edition 1, number 10261.
    11. Dan Daugaard, 2020. "Emerging new themes in environmental, social and governance investing: a systematic literature review," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 60(2), pages 1501-1530, June.
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    Cited by:

    1. Nancy Asare Nyarko & Bhathiya Divelgama & Jagdish Gnawali & Blessing Omotade & Svetlozar Rachev & Peter Yegon, 2023. "Exploring Dynamic Asset Pricing within Bachelier Market Model," Papers 2307.04059, arXiv.org.
    2. Nancy Asare Nyarko & Bhathiya Divelgama & Jagdish Gnawali & Blessing Omotade & Svetlozar T. Rachev & Peter Yegon, 2023. "Exploring Dynamic Asset Pricing within Bachelier’s Market Model," JRFM, MDPI, vol. 16(8), pages 1-18, July.

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