Risk Treasury Index All World Expected Return Investment (Standard Deviation) Allocation Fund Fund 100% 5.50% 4.60% 75% 25% 6.08% 5.44% 50% 50% 6.65% 9.40% 25% 75% 4 7.23% 14.06% 0% 100% 7.80% 18.90% Portfolio Return vs Risk 20.00% 18.90% 18.00% 16.00% 14.06 14.00% 12.00% 9.40 10.00% 8.00% 5.44% 6.00% 4.60% 4.00% 2.00% 0.00% 5.50% 5.00% 6.00% 6.50% 7.00% 7.50% 8,00% Expected Return a. 2 b. 3 c. 5 d. 1 Risk (Standard Deviation)

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You are an investment manager for Simple Asset Management, a company that specializes in developing simple investment portfolios consisting of no more than three assets such as stocks, bonds, etc., for investors who like to keep things simple. One of your more popular investments is called the All World Fund and is composed of global stocks with good dividend yields. A client is interested in constructing a portfolio that consists of the All World Fund and the Treasury Index Fund, which consists of U.S. Treasury securities (government bonds).

You calculate a 7.8% expected return on the All World Fund with a return standard deviation (a measure of risk) of 18.90%. The expected return of the Treasury Index Fund is 5.50% with a return standard deviation of 4.6%. To analyze the relationship between the two investments, you also calculate the covariance between the two of –12.4.

 

Based on the table and graph below, which portfolio seems to offer the best tradeoff in terms of expected return vs. risk?

Risk
Treasury
Index
All World
Expected
Return
Investment
(Standard
Deviation)
Allocation
Fund
Fund
100%
5.50%
4.60%
75%
25%
6.08%
5.44%
50%
50%
6.65%
9.40%
25%
75%
4
7.23%
14.06%
0%
100%
7.80%
18.90%
Portfolio Return vs Risk
20.00%
18.90%
18.00%
16.00%
14.06
14.00%
12.00%
9.40
10.00%
8.00%
5.44%
6.00%
4.60%
4.00%
2.00%
0.00%
5.50%
5.00%
6.00%
6.50%
7.00%
7.50%
8,00%
Expected Return
a. 2
b. 3
c. 5
d. 1
Risk (Standard Deviation)
Transcribed Image Text:Risk Treasury Index All World Expected Return Investment (Standard Deviation) Allocation Fund Fund 100% 5.50% 4.60% 75% 25% 6.08% 5.44% 50% 50% 6.65% 9.40% 25% 75% 4 7.23% 14.06% 0% 100% 7.80% 18.90% Portfolio Return vs Risk 20.00% 18.90% 18.00% 16.00% 14.06 14.00% 12.00% 9.40 10.00% 8.00% 5.44% 6.00% 4.60% 4.00% 2.00% 0.00% 5.50% 5.00% 6.00% 6.50% 7.00% 7.50% 8,00% Expected Return a. 2 b. 3 c. 5 d. 1 Risk (Standard Deviation)
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