6. Butterfly Ballot Inc. common stock has the following projected rates of return (outcomes): −10%, 20%, and 60%. The probabilities of their outcomes are 20%, 50%, and 30% respectively. What are the expected return and standard deviation of Butterfly Ballot Inc. common stock?
Question 6 options:
A) 15% and 6.46%, respectively
B) 26% and 24.98%, respectively
C) 19% and 24.27%, respectively
D) 31.67% and 16.87%, respectively
Ans B) 26% and 24.98%, respectively
Probability (P) | RETURN (Y) | (P * Y ) | P * (Y -Average Return of Y)^2 | |
20% | -10 | -2.00 | 259 | |
50% | 20 | 10.00 | 18 | |
30% | 60 | 18.00 | 347 | |
TOTAL | 26.00 | 624 | ||
Expected Return = | (P * Y) | |||
26.00% | ||||
VARIANCE = | P * (Y -Average Return of Y)^2 | |||
624.00 | ||||
Standard Deviation = | Square root of (P * (Y -Average Return of Y)^2) | |||
Square root of 624 | ||||
24.98 |
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