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Optimal Dividend Control in Presence of Downside Risk

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  • Luis H. R. Alvarez

    ()
    (Department of Economics, Turku School of Economics)

  • Teppo A. Rakkolainen

    ()
    (Department of Economics, Turku School of Economics)

Abstract

We analyze the determination of a value maximizing dividend policy for a broad class of cash flow processes modelled as spectrally negative jump diffusions. We extend previous results based on continuous diffusion models and characterize the value of the optimal dividend policy explicitly. Utilizing this result, we also characterize explicitly the values as well as the optimal dividend thresholds for a class of associated optimal stopping and sequential impulse control problems. Our results indicate that both the value as well as the marginal value of the optimal policy are increasing functions of policy flexibility in the discontinuous setting as well.

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File URL: http://www.ace-economics.fi/kuvat/ACE14%20valmis.pdf
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Bibliographic Info

Paper provided by Aboa Centre for Economics in its series Discussion Papers with number 14.

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Length: 40
Date of creation: Mar 2007
Date of revision:
Handle: RePEc:tkk:dpaper:dp14

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Related research

Keywords: dividend optimization; downside risk; impulse control; jump diffusion; optimal stopping; singular stochastic control;

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References

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  1. Luis Alvarez, 1996. "Demand uncertainty and the value of supply opportunities," Journal of Economics, Springer, vol. 64(2), pages 163-175, June.
  2. Darrell Duffie & Jun Pan & Kenneth Singleton, 1999. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," NBER Working Papers 7105, National Bureau of Economic Research, Inc.
  3. Luis Alvarez & Jukka Virtanen, 2006. "A class of solvable stochastic dividend optimization problems: on the general impact of flexibility on valuation," Economic Theory, Springer, vol. 28(2), pages 373-398, 06.
  4. Michael I. Taksar, 2000. "Optimal risk and dividend distribution control models for an insurance company," Computational Statistics, Springer, vol. 51(1), pages 1-42, 02.
  5. Bar-Ilan, Avner & Perry, David & Stadje, Wolfgang, 2004. "A generalized impulse control model of cash management," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1013-1033, March.
  6. Luis H. R. Alvarez E. & Pekka Matom\"aki & Teppo A. Rakkolainen, 2013. "A Class of Solvable Optimal Stopping Problems of Spectrally Negative Jump Diffusions," Papers 1302.4181, arXiv.org.
  7. Luis H. R. Alvarez, 2001. "Reward functionals, salvage values, and optimal stopping," Computational Statistics, Springer, vol. 54(2), pages 315-337, December.
  8. Perry, David & Stadje, Wolfgang, 2000. "Risk analysis for a stochastic cash management model with two types of customers," Insurance: Mathematics and Economics, Elsevier, vol. 26(1), pages 25-36, February.
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Cited by:
  1. Florin Avram & Zbigniew Palmowski & Martijn R. Pistorius, 2011. "On Gerber-Shiu functions and optimal dividend distribution for a L\'{e}vy risk-process in the presence of a penalty function," Papers 1110.4965, arXiv.org, revised Mar 2014.

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