Question
1. There is 36-year annual return data on an asset. The average annual return is said to be 10%. The volatility of this asset was
1.
There is 36-year annual return data on an asset. The average annual return is said to be 10%. The volatility of this asset was estimated at 27% for the same period.The rate of return for each year is a probability variable that is determined independently of the rate of return for another year and according to the same distribution.When a 95% confidence interval is obtained for the expected annual return on this asset, what if the lower limit is calculated? Please answer in % units.
2.
property | market capitalization | Covariance between Portfolio Returns and their Asset Returns |
A | 40,000 | 0.15 |
B | 20,000 | -0.10 |
C | 10,000 | 0.20 |
D | 30,000 | -0.05 |
Please answer in % to the first decimal place.
For example, if the calculated value is 31.45%, you can write 31.5.
3.
Let's say there are two stocks, A and B.
1. The annual expected returns of shares A and B are 10% and 15%, respectively.
2. The volatility of the annual returns of A and B shares is 18% and 20%, respectively.
3. The correlation coefficient for the return on the two assets is 0.25.
4. An expected return on a portfolio of X and Y was 12%.
Given the volatility of the portfolio we're talking about in 4?
Mark up to the second decimal place in % units.
4.
I'm going to invest in two of the following four portfolios.
What is the final portfolio configured to include all the assets in the inefficient portfolio?
Portfolio | Expected rate of return | Volatility |
A | 3% | 10% |
B | 5% | 10% |
C | 5% | 15% |
D | 7% | 20% |
- A
- B
- C
- A
5.
Suppose the following information is known about a portfolio of two assets, a risk-free asset and a risk asset X.
1. The Sharpe Ratio of this portfolio is 0.3667.
2. The annual risk-free rate of return is 4%.
3. If this portfolio had invested 50% in risk-free returns and 50% in risk-free assets, the expected return would have been 9.5%.
Now, let's say that this portfolio is actually composed of 20% investment in risk-free assets and 80% investment in risk-free assets X. Calculating the volatility of the return on this portfolio (20%, 80%)?
Mark the variability in % and up to the second decimal place.
Please write the steps for each topic. Thank you very much.
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