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On barrier strategy dividends with Parisian implementation delay for classical surplus processes

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  • Dassios, Angelos
  • Wu, Shanle

Abstract

In this paper, we apply a single barrier strategy to optimise dividend payments in the situation where there is a time lag d>0 between decision and implementation. Using a classical surplus process with exponentially distributed jumps, we obtain the optimal barrier b* which maximises the expected present value of dividends.

Suggested Citation

  • Dassios, Angelos & Wu, Shanle, 2009. "On barrier strategy dividends with Parisian implementation delay for classical surplus processes," Insurance: Mathematics and Economics, Elsevier, vol. 45(2), pages 195-202, October.
  • Handle: RePEc:eee:insuma:v:45:y:2009:i:2:p:195-202
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    References listed on IDEAS

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    1. Frostig, Esther, 2005. "The expected time to ruin in a risk process with constant barrier via martingales," Insurance: Mathematics and Economics, Elsevier, vol. 37(2), pages 216-228, October.
    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. Wang, Nan & Politis, Konstadinos, 2002. "Some characteristics of a surplus process in the presence of an upper barrier," Insurance: Mathematics and Economics, Elsevier, vol. 30(2), pages 231-241, April.
    6. 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.
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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.
    2. Ola Mahmoud, 2015. "The Temporal Dimension of Risk," Papers 1501.01573, arXiv.org, revised Jun 2016.
    3. repec:spr:joptap:v:161:y:2014:i:1:d:10.1007_s10957-013-0283-y is not listed on IDEAS
    4. repec:spr:queues:v:86:y:2017:i:3:d:10.1007_s11134-017-9529-y is not listed on IDEAS

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