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Cecil Boller is the portfolio manager for a $500 million defined benefit pension fund. Boller has been conducting a great deal of analysis to select the appropriate allocation for the fund. He has come up with the following long-term expectations for various asset classes.

Asset Class   

Expected
Return
Expected
Standard
Deviation

Correlations

1 2 3 4 5
1    U.S. equity 12.00%    16.00%    1.00            
2    U.S. corporate bonds   8.25%    6.50%   0.32 1.00         
3    Int’l equities 14.00%    18.00%    0.46 0.22 1.00       
4    Int’l bonds 9.25%    12.25%    0.23 0.56 0.32 1.00   
5    Alternative Investments 11.50%    21.00%    0.25 0.11 0.08 0.06 1.00
Based on these expectations, Boller identifies an efficient frontier with four corner portfolios with the characteristics shown below. The risk-free rate is assumed to be equal to the T-bill rate of 3.0%.

Corner
Portfolio

Expected
Return

Expected
Standard
Deviation
Sharpe
Ratio
Asset Class Weights
1 2 3 4 5
1    14.00%    18.00% 0.611    0% 0% 100% 0% 0%
2    13.66%    16.03% 0.665    0% 0% 86.36% 0% 13.64%
3    12.79%    13.00% 0.753    21.48%    0.00% 52.01% 5.24% 21.27%
4    10.54%    8.14% 0.926    9.40% 51.30% 26.55% 0% 12.76%
Boller has determined that the fund has a spending rate of 7.5%. Inflation is expected to be 2.5% per year, and the cost of managing the fund is expected to be 0.50%. The expected return on the portfolio is therefore (1.075)(1.025)(1.005) – 1 = 10.74%. Boller has also stated that he does not want the standard deviation of the pension portfolio to exceed 9.0% and there is a constraint against short selling.

Conclusion 1:    The weight given to U.S. equity in the pension portfolio should be greater than 11.0%.
  
Conclusion 2:    The weight given to corporate bonds in the portfolio should be exactly 30.78%.
   
Conclusion 3:    The weight given to alternative investments in the portfolio should be greater than 13.0%.

Given this information, which of the following conclusions drawn by Boller are CORRECT?


A. Conclusion 3 only.
B. Conclusions 1 and 2 only.
C. Conclusions 1 and 3 only.
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