Fund managers usually set aside certain amount of cash to pay for possible redemptions, and it is believed that this will affect overall fund performance. This paper examines the properties of efficient portfolios in the mean-variance framework in the presence of a cash account. We show that investors will retain part of funds in cash, as long as the required return is lower than the expected rerun on the portfolio corresponding to the point of intersection of the traditional efficient frontier and the straight line that passes through the minimum-variance portfolio and the origin in the mean-variance plane (portfolio q1 ). In addition, the efficient portfolios determined by our model are proportional to portfolio q1 , and are more efficient than traditional efficient portfolios. Using a simulation, we illustrate that 6% to 9% of total funds are to be retained in the cash account if no-short-selling constraint is imposed. Based on real data, our out-of-sample empirical results confirm the theoretical findings.
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