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Equilibrium Equity Price With Optimal Dividend Policy

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  • AKIRA YAMAZAKI

    (Graduate School of Business Administration, Hosei University, The Research Institute for Innovation Management, Hosei University, 2-17-1 Fujimi, Chiyoda-ku, Tokyo 102-8160, Japan)

Abstract

This paper proposes an equilibrium model for evaluating equity with optimal dividend policy in a jump-diffusion market. In this model, a representative investor having power utility over an aggregate consumption process evaluates the equity as the expected value of the discounted dividends with his stochastic discount factor, while a firm paying the dividends from its own cash reserves manages to maximize the equity price. This situation is formulated as a singular stochastic control problem of jump-diffusion processes. We solve this problem and give the equilibrium equity price and the optimal dividend policy. Numerical examples show that the aggregate consumption process and the investor’s risk aversion have a significant impact on the equity price and the dividend policy. This model provides a structural explanation of equity risk premiums that is consistent with the standard theory of asset pricing.

Suggested Citation

  • Akira Yamazaki, 2017. "Equilibrium Equity Price With Optimal Dividend Policy," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(02), pages 1-28, March.
    • Handle: RePEc:wsi:ijtafx:v:20:y:2017:i:02:n:s0219024917500121
    DOI: 10.1142/S0219024917500121
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    References listed on IDEAS

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