Scenario | Probability | Rate of Return | ||
1 | 0.27 | −4 | % | |
2 | 0.39 | 7 | % | |
3 | 0.34 | 27 | % | |
a. Calculate the expected rate of return. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)
b. Calculate the variance and the standard
deviation of this probability distribution. (Use the
percentage values for your calculations (for example 10% not 0.10).
Round intermediate calculations to at least 4 decimal places. Enter
your answer as a percentage rounded to 2 decimal
places.)
Variance | %2 |
Standard deviation | % |
a)
Scenario | Probability, P | Rate of return, r (%) | P*r |
1 | 0.27 | -4 | -1.0800 |
2 | 0.39 | 7 | 2.7300 |
3 | 0.34 | 27 | 9.1800 |
10.8300 |
Expected rate of return is given by
b)
Scenario | Probability, P | Rate of return, r (%) | P*r | ||
1 | 0.27 | -4 | -1.0800 | 250.5889 | 67.6590 |
2 | 0.39 | 7 | 2.7300 | 23.3289 | 9.0983 |
3 | 0.34 | 27 | 9.1800 | 230.1289 | 78.2438 |
10.8300 | 155.0011 |
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