Optimal Portfolio Selection with Transaction Costs and Finite Horizons
研究一个CRRA投资者在有限期限内面临交易成本时的最优交易策略，发现策略依赖于期限且多为买入持有，甚至可能在风险溢价为正时不买股票。
We examine the optimal trading strategy for a CRRA investor who maximizes the expected utility of wealth on a finite date and faces transaction costs. Closed-form solutions are obtained when this date is uncertain. We then show a sequence of analytical solutions converge to the solution to the problem with a deterministic finite horizon. Consistent with the common life-cycle investment advice, the optimal trading strategy is found to be horizon dependent and largely buy and hold. Moreover, it might be optimal for the investor in our model not to buy any stock, even when the risk premium is positive. Further analysis of the optimal policy is also provided.