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Barrier strategies with Parisian delay

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  • Dassios, Angelos
  • Wu, Shanle

Abstract

In this paper, we apply the single barrier strategy to optimize the dividend payment in the situation where there is a time lag d > 0 between decision and implementation. Using a Brownian motion with drift as the surplus process, we obtain the optimal barrier b* which maximises the expected present value of dividends. We also show that the longer the implementation delay, the smaller the optimal barrier will be.

Suggested Citation

  • Dassios, Angelos & Wu, Shanle, 2011. "Barrier strategies with Parisian delay," LSE Research Online Documents on Economics 32024, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:32024
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    File URL: http://eprints.lse.ac.uk/32024/
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    References listed on IDEAS

    as
    1. Hans Gerber & Elias Shiu, 2003. "Geometric Brownian Motion Models for Assets and Liabilities: From Pension Funding to Optimal Dividends," North American Actuarial Journal, Taylor & Francis Journals, vol. 7(3), pages 37-51.
    2. Bar-Ilan, Avner & Strange, William C, 1996. "Investment Lags," American Economic Review, American Economic Association, vol. 86(3), pages 610-622, June.
    3. 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.
    4. Paulsen, Jostein & Gjessing, Hakon K., 1997. "Optimal choice of dividend barriers for a risk process with stochastic return on investments," Insurance: Mathematics and Economics, Elsevier, vol. 20(3), pages 215-223, October.
    5. Bjarne Hø Jgaard & Michael Taksar, 1999. "Controlling Risk Exposure and Dividends Payout Schemes:Insurance Company Example," Mathematical Finance, Wiley Blackwell, vol. 9(2), pages 153-182, April.
    6. Dassios, Angelos & Wu, Shanle, 2008. "Parisian ruin with exponential claims," LSE Research Online Documents on Economics 32033, London School of Economics and Political Science, LSE Library.
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    Cited by:

    1. Cheung, Eric C.K. & Wong, Jeff T.Y., 2017. "On the dual risk model with Parisian implementation delays in dividend payments," European Journal of Operational Research, Elsevier, vol. 257(1), pages 159-173.

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    More about this item

    Keywords

    Parisian implementation delay; single barrier strategy; surplus process; Brownian motion with drift;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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