Dual Representation of Value Function and Applications

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:dll4718133
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  We discuss a standard utility maximisation problem in Black-Scholes world with general utility functions.We show there is a classical solution to HJB equation with dual control method and give a representations of value function,optimal wealth process,optimal control in terms of those of dual problem.We apply results to solve wealth maximisation,turnpike property,and efficient frontier of utility and CVaR problems.(based on papers with Bian,Baojun and Bernard,Carole.)
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