Optimal Portfolio of Low Liquid Assets with a Power Utility Function
[摘要] Whenanassetiscompletelyliquid,aninvestorcanrealizehisdesirablestrategy.Butwhentheassetisnotsufficientlyliquid,theinvestorcannottradetheassetcontinuouslyandhisstrategyisrestricted.Hehastoconsidertheriskofthefailureofthetrade.Inthispaperariskyassetistradedattherandomtimesandaninvestorhasapowerutilityfunction.Inthissituationwesolveanoptimalportfolioproblem.Weproposeanasymptoticexpansionoftheoptimalstrategy.Furtherwediscussconvergenceofthevaluefunctionwhentheassetbecomesliquid.
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[效力级别] [学科分类] 数学(综合)
[关键词] Portfolio optimization;liquidity;power utility function [时效性]