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Reading 26: Asset Allocation LOS m~ Q9-10

 

Q9. The following information is available regarding corner portfolios from an efficient frontier.

Corner
Portfolio

Expected
Return

Exp. Std.
Dev.

Asset Class Weights

1

2

3

4

1

6.90%

4.60%

0.00%

12.00%

88.00%

0.00%

2

10.00%

8.64%

0.00%

15.00%

45.00%

40.00%

3

13.00%

12.50%

55.00%

0.00%

45.00%

0.00%

An investor has a spending rate of 8%. If inflation is expected to be 3.50% annually and the cost of earning investment returns is 0.5%, which of the following represents the correct weight of one of the asset classes that will at a minimum satisfy the investor’s goals of capital preservation in real terms to an investor with a risk aversion value of 4?

A)   Asset class 3 with weight of 39.00%.

B)   Asset class 2 with weight of 50.00%.

C)   Asset class 1 with a weight of 42.90%.

 

Q10. Based on the following information, compute the weight of US bonds in an efficient portfolio with an expected return of 12.50%?
The following are the long-term capital market expectations:

     

Asset Class   

Expected
Return   

Exp. Std. Dev.

  Correlations

  1   

  2   

  3   

  4   

  5

1   

 US Equity

 12.00%

 16.00%

1.00 

 

 

 

 

2   

 US Bonds

 8.25%

 6.50%

  0.32   

1.00 

 

 

 

3   

 Intl Equities

14.00%

18.00%

  0.46   

0.22

1.00 

 

  

4   

 Intl Bonds

 9.25%

 12.25%

  0.23   

  0.56   

  0.32   

1.00 

 

5   

 Alt Inv

 11.50%

 21.00%

  0.25   

  0.11   

  0.08   

  0.06   

  1.00

The details of each corner portfolio are given below.

Corner
Portfolio

Expected
Return

 Exp. Std.
Dev.

Sharpe
Ratio

 Asset Class Weights

  1   

  2   

  3   

  4   

  5

1   

  14.00%   

  18.00%   

  0.639   

 0.00%   

 0.00%   

 100.00%   

 0.00%   

 0.00%

2   

  13.66%   

  16.03%   

  0.696   

 0.00%   

 0.00%   

86.36%

  0.00%   

 14.00%

3   

  13.02%   

  13.58%   

  0.775   

  21.69%   

  0.00%   

  56.56%   

  0.00%   

  21.76%

4   

  12.79%   

  13.00%   

  0.792   

  21.48%   

  0.00%   

  52.01%   

  5.24%   

  21.27%

5   

  10.54%   

  8.14%   

  0.988   

  9.40%   

  51.30%   

  26.55%   

  0.00%   

  12.76%

6   

  8.70%   

  6.32%   

  0.981   

  0.00%   

  89.65%   

  4.67%   

  0.00%   

  5.68%

A)   5.75%.

B)   6.25%

C)   6.67%.

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