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引用本文:������,�����.�����׷��ú�Ͷ��Լ������ɢģ��������Ͷ��-�ֺ�����[J].应用概率统计,2017,34(2):151-169.
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Optimization of Investment-Dividend Problem in aDiffusion Model with Transaction Costs and InvestmentConstraints
LI ManMan,LIU ZaiMing.Optimization of Investment-Dividend Problem in aDiffusion Model with Transaction Costs and InvestmentConstraints[J].Chinese Journal of Applied Probability and Statisties,2017,34(2):151-169.
Authors:LI ManMan  LIU ZaiMing
Institution:Department of Statistics and Actuarial Science, College of Mathematics and Statistics, Chongqing University; Institute of Probability and Statistics, School; of Mathematics and Statistics, Central, South University.
Abstract:This paper investigates the investment-dividend optimization problem for a corporation with transaction costs and investment constraints. The main feature is that we assume general constraints on investments including the special case of short-sale and borrowing constraints. This results in a regular-impulse stochastic control problem. The nontrivial case is that the investment can't meet the loss of wealth due to discounting. In this case, delicate analysis is carried out on QVI w.r.t. three possible situations, leading to an explicit construction of the value functions together with the optimal policies. We also give explicit conclusion of the trivial case at last.
Keywords:investment constraints  transaction costs  regular-impulse control  quasi-variational inequalities  
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