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You are trying to make the least-risky portfolio possible from this set of ETFs. Risk is being measured by Standard Deviation of returns (sigma).
ETF mu sigma
A 10% 25%
B 8% 15%
Correlation Coefficient (rho), A to B: -50%
What is the standard deviation (sigma) for a portfolio comprised of 50% A and 50%B?
Round your answer to three decimal places. Do not write your answer as a percent. IE: write 0.251 not 25.1%.
Expected return | Investment Proportion | Standard Deviation | Correlation Coefficient (A to B) | |
A | 10% | 50% | 25% | |
B | 8% | 50% | 15% | -50% |
Total | 100% | |||
Expected return of portfolio | 0.090 | |||
Standard deviation of portfolio | 0.109 |
Standard deviation of portfolio is 0.109
Formulas used in excel calculation:
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