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Consider the following two risky asset worlds: Security S Security B Expected return 0.16 0.10 Variance 0.0735 0.0563 Beta ( ) 1.2 0.9 Treasury bond
Consider the following two risky asset worlds:
| Security S | Security B |
Expected return | 0.16 | 0.10 |
Variance | 0.0735 | 0.0563 |
Beta ( ) | 1.2 | 0.9 |
|
|
|
Treasury bond rate | 4% | |
Market return Rm | 9% | |
coefficient of Correlation: (A,B) | -0.005 |
Answer the following questions:
- Explain why the risk of any portfolio composed of (S) and (B) is less than weighted average risk of the two securities (1 mark).
- Calculate the expected return and the variance of a portfolio composed of (60%: S, 40%: B)
(2 marks)
- If the minimum variance portfolio of the two securities is (43.41%: S, 56.59%: B), what is the expected return and the variance of this portfolio? (2 marks).
- Explain Why the risk of any portfolio composed of S and B is greater than the risk of the portfolio in question 3. (1 Mark)
- Use the CAPM to evaluate the expected return of the two security (S) (1 Mark)
- Explain why the expected return calculated in question 5 equals to the market return if beta equals 1 (1 Mark)
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