Restricted Dividends in the Two-dimension Dual Model under Diffusion and Capital Injection

QUAN Junliang; HU Hua

doi:10.6054/j.jscnun.2020100

Journal of South China Normal University (Natural Science Edition) > 2020 > 52(6): 97-102. > DOI: 10.6054/j.jscnun.2020100

QUAN Junliang, HU Hua. Restricted Dividends in the Two-dimension Dual Model under Diffusion and Capital Injection[J]. Journal of South China Normal University (Natural Science Edition), 2020, 52(6): 97-102. DOI: 10.6054/j.jscnun.2020100

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Restricted Dividends in the Two-dimension Dual Model under Diffusion and Capital Injection

QUAN Junliang,
HU Hua^,

School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China

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Received Date: May 20, 2020
Available Online: January 04, 2021

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Abstract

Abstract

The problem of optimal dividend payment in the two-dimension dual model with diffusion under capital injection and varying dividend discount rates was discussed. The HJB equation in the stochastic control model is used to prove that the optimal strategy is a threshold strategy and the integral-differential equation satisfied by the value function of the cumulative dividend discount expectation is obtained, and the explicit expression of the value function is obtained when the benefit obeys an exponential distribution.
- dual model,
- threshold strategy,
- HJB equation,
- restricted dividend

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