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Optimal dividend payments in the stochastic Ramsey model

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  • Morimoto, Hiroaki

Abstract

We consider the dividend payments of a self-financing firm in the stochastic Ramsey model. The firm invests in capital stock and its production technology is given by the Cobb-Douglas function. Our objective is to maximize the expected present value of future real dividends subject to a positive constraint on the capital stock. We use the penalization method to obtain a solution for the variational inequality associated with the optimal growth problem and give a synthesis of the optimal dividend policy.

Suggested Citation

  • Morimoto, Hiroaki, 2010. "Optimal dividend payments in the stochastic Ramsey model," Stochastic Processes and their Applications, Elsevier, vol. 120(4), pages 427-441, April.
    • Handle: RePEc:eee:spapps:v:120:y:2010:i:4:p:427-441
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    References listed on IDEAS

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    1. Suresh P. Sethi & Michael I. Taksar, 2002. "Optimal Financing of a Corporation Subject To Random Returns," Mathematical Finance, Wiley Blackwell, vol. 12(2), pages 155-172, April.
    2. 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.
    3. Robert C. Merton, 1975. "An Asymptotic Theory of Growth Under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(3), pages 375-393.
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    Cited by:

    1. Yoshioka, Hidekazu & Yaegashi, Yuta, 2019. "A finite difference scheme for variational inequalities arising in stochastic control problems with several singular control variables," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 156(C), pages 40-66.

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