Question
1. During the past 10 years, the percent returns on two mutual funds (aggressive and passive) expressed in percentages were as follows: Year Aggressive Fund
1. During the past 10 years, the percent returns on two mutual funds (aggressive and passive) expressed in percentages were as follows:
Year | Aggressive Fund | Passive Fund |
---|---|---|
-10 | 2% | 4% |
-9 | 8% | 3% |
-8 | 0% | 3% |
-7 | 4% | 2% |
-6 | 7% | 3% |
-5 | 1% | 2% |
-4 | 10% | 4% |
-3 | 1% | 3% |
-2 | 0% | 2% |
Last Year | 3% | 4% |
Note that this is a sample of returns.
a) Compute the expected return for the two funds. Round your answers to two decimal places.
Aggressive =
Passive =
b) Compute the variance and standard deviation of the returns of the two funds. Round your answers to two decimal places.
Variance:
Aggressive =
Passive =
Standard Deviation:
Aggressive = %
Passive = %
c)
An investor is considering the purchase of Gryphon stock, which has returns given in the table below.
Scenario | Probability | Rate of Return |
Recession | 0.26 | -2% |
Normal Economy | 0.56 | 8% |
Boom | 0.18 | 15% |
Calculate the expected return and standard deviation of Gryphon. Round your answers to 2 decimal places.
Enter your answers below.
E(r) = %
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