Question
You own a portfolio containing the following stocks. Security Weight Beta A 0.133 3.33 B 0.2 1.2 C 0.267 1.65 D 0.4 0.38 Calculate
You own a portfolio containing the following stocks.
Security | Weight | Beta |
A | 0.133 | 3.33 |
B | 0.2 | 1.2 |
C | 0.267 | 1.65 |
D | 0.4 | 0.38 |
Calculate the following statistics: (1/100 of one percent without % sign, e.g. 12.671, if a negative percentage, -9.56):
1) Portfolio Beta:
12) Suppose you have $10,000 to invest and you have purchased the following securities.
| Stock A | Stock B |
$ Amount | $4,000 | $6,000 |
Mean return | 19.65% | 8.96% |
Standard deviation (sample) | 40% | 20% |
Correlation coefficient | +0.25 |
Calculate the following statistics: (1/100 of one percent without % sign, e.g. 12.671, if a negative percentage, -9.56):
1) Expected portfolio return:
2) Expected portfolio standard deviation:
13) After extensive analysis, you predict the following returns for stocks A and B for three possible outcomes. Assume there are only three possible outcomes.
Outcome | Probability | Annual return | |
|
| Stock A | Stock B |
Boom | 20% | 20% | 30% |
Normal | 50% | 15% | 20% |
Recession | 30% | -10% | -15% |
Calculate the following statistics: (1/1000 of one percent without % sign, e.g. 12.671, if a negative percentage, -9.56):
1) Expected return for stock A:
2) Expected return for stock B:
3) Standard deviation for stock A:
4) Standard deviation for stock B:
Step by Step Solution
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Step: 1
SOLUTION 1 Portfolio Beta To calculate the portfolio beta we need to multiply the weight of each stock by its corresponding beta and then sum up the results Portfolio Beta Weight of A Beta of A Weight ...Get Instant Access to Expert-Tailored Solutions
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Step: 2
Step: 3
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