Abstract
Abstract This article builds portfolio decision model under risk budgeting framework by decomposing active risk budgeting into gross budgets and structural budgets, and respectively, solves the model when the benchmark is efficient and nonefficient, then analyzes in detail the properties of optimal investment decision under the two different conditions. The results show that the efficiency of portfolio decision lies on the efficiency of benchmark completely; when benchmark is nonefficient, structural budgets determine the structure of portfolio, whereas gross budgets determine the degree which is the optimal portfolio deviating from the benchmark; smaller beta in structural budgets actually hedge the benchmark risk effectively, so it conduces to enhance the total return under the same total risk.
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