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You are comparing two fund managers. Both managers claim to hold mean-variance efficient portfolios. As a prospective client, you ask both managers what their allocation

You are comparing two fund managers. Both managers claim to hold mean-variance efficient portfolios. As a prospective client, you ask both managers what their allocation among risky assets is and obtain the following data.
International stocks US stocks
Manager 1 25% 75%
Manager 2 35% 65%
Assume that both managers use the same estimates of expected returns, volatilities, and correlations and can freely borrow/lend at the same risk-free rate of interest. There are no transaction costs and taxes. Both managers have the same investment horizon.
(a) Are both managers holding efficient portfolios?
(b) Does your answer change if the managers do not have access to a risk-free asset?

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a To determine if both managers are holding efficient portfolios we need to compare their allocations to the risky assets based on the meanvariance efficient frontier Efficient portfolios are those that provide the highest expected return for a given level of risk or the lowest risk for a given expected return The optimal allocation ... blur-text-image

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