14.0% and prohibit the use of leverage. Exhibit 1 provides the results of a mean-variance
optimization based on annual inflation of 1.5% and a risk-free rate of 0.5%.
Exhibit 1
Wellcare Endowment Corner Portfolios
Asset Class Weights (%)
Expected
Standard
Corner
Inter-
Sharpe
Return
Domestic
Government
Corporate
Deviation
Portfolio
national
Ratio
(%)
Equity
Bonds
1 9.00 18.0 0.47 100 0 0 0
2 8.90 16.2 0.52 90 10 0 0
3 8.60 13.8 0.59 75 20 5 0
4 7.65 11.2 0.64 60 15 15 10
5 7.00 10.5 0.62 50 10 25 15
A. Recommend which two corner portfolios Darzi should use for the optimal asset
allocation to achieve the endowment’s return requirement. Determine the weights for
each of these two corner portfolios. Show your calculations.
6 minutes (Answer 4-A on page 25)
Darzi advises the board to allow the use of leverage. She proposes a strategic asset allocation
that combines the corner portfolio closest to the tangency portfolio in Exhibit 1 with borrowing
at the risk-free rate. The endowment’s annual nominal return objective remains 8.0%.
B. Calculate the optimal level of leverage to achieve the endowment’s return objective.
Show your calculations.
4 minutes (Answer 4-B on page 26)
C. Determine whether the unleveraged or leveraged strategic asset allocation offers lower
expected volatility to achieve the endowment’s return objective. Justify your response.
Note: No calculations are required.
3 minutes (Answer 4-C on page 27)
Answer Question 4-A on This Page
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