A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 4.2%. The probability distributions of the risky funds are: Expected Return Standard Deviation Stock fund (S) 12 % 33 % Bond fund (B) 5 % 26 % The correlation between the fund returns is .0308. Suppose now that your portfolio must yield an expected return of 11% and be efficient, that is, on the best feasible CAL. a. What is the standard deviation of your portfolio? (Do n

Answer:

28.63%

Step-by-step explanation:

Given data:

correlation between funds = 0.308

Risk-free rate = 0.042

Expected return rate = 0.11

Calculate the standard deviation of the new portfolio

standard deviation of portfolio = ( weight of risky assets )* (standard deviation of optimal risky portfolio )

weight of risky assets = (expected return - risk-free rate) / ( expected return of optimal portfolio - risk-free rate ) ( calculated using excel spreadsheet)

= 0.9696

Standard deviation of optimal risky portfolio = 29.525489% ( calculated using excel spreadsheet )

hence standard deviation of portfolio that would an expected return of 11%

= 0.9696 * 29.525489%

= 28.63%

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-9
8
-7
-6
-5
4
3
O
1
2
3
4
5
6
7
8 9
10
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1
2
3
4
5
6
7
8 9
10
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3
2
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0
1
2
3
4
5
6
7
8 9 10
- 10 9 8 7
3 2
-1
0
1
2
3
4
6
7
8
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228
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