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On a mean reverting dividend strategy with Brownian motion

Author

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  • Avanzi, Benjamin
  • Wong, Bernard

Abstract

In actuarial risk theory, the introduction of dividend pay-outs in surplus models goes back to de Finetti (1957). Dividend strategies that can be found in the literature often yield pay-out patterns that are inconsistent with actual practice. One issue is the high variability of the dividend payment rates over time. We aim at addressing that problem by specifying a dividend strategy that yields stable dividend pay-outs over time.

Suggested Citation

  • Avanzi, Benjamin & Wong, Bernard, 2012. "On a mean reverting dividend strategy with Brownian motion," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 229-238.
    • Handle: RePEc:eee:insuma:v:51:y:2012:i:2:p:229-238
    DOI: 10.1016/j.insmatheco.2012.04.002
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    References listed on IDEAS

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    1. Hans U. Gerber, 1972. "Games of Economic Survival with Discrete- and Continuous-Income Processes," Operations Research, INFORMS, vol. 20(1), pages 37-45, February.
    2. Benjamin Avanzi, 2009. "Strategies for Dividend Distribution: A Review," North American Actuarial Journal, Taylor & Francis Journals, vol. 13(2), pages 217-251.
    3. Brav, Alon & Graham, John R. & Harvey, Campbell R. & Michaely, Roni, 2005. "Payout policy in the 21st century," Journal of Financial Economics, Elsevier, vol. 77(3), pages 483-527, September.
    4. Sheldon Lin, X., 1998. "Double barrier hitting time distributions with applications to exotic options," Insurance: Mathematics and Economics, Elsevier, vol. 23(1), pages 45-58, October.
    5. Asmussen, Soren & Taksar, Michael, 1997. "Controlled diffusion models for optimal dividend pay-out," Insurance: Mathematics and Economics, Elsevier, vol. 20(1), pages 1-15, June.
    6. Eric Cheung & David Dickson & Steve Drekic, 2008. "Moments of Discounted Dividends for a Threshold Strategy in the Compound Poisson Risk Model," North American Actuarial Journal, Taylor & Francis Journals, vol. 12(3), pages 299-318.
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    Citations

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    Cited by:

    1. Albrecher, Hansjörg & Bäuerle, Nicole & Bladt, Martin, 2018. "Dividends: From refracting to ratcheting," Insurance: Mathematics and Economics, Elsevier, vol. 83(C), pages 47-58.

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    More about this item

    Keywords

    Dividends; Brownian motion; Ornstein–Uhlenbeck process; Mean reverting;
    All these keywords.

    JEL classification:

    • G35 - Financial Economics - - Corporate Finance and Governance - - - Payout Policy
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

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