In: Economics
Expected Return: Discrete Distribution
A stock's return has the following distribution:
Demand for the Company's Products |
Probability of This Demand Occurring |
Rate of Return if This Demand Occurs (%) |
||
Weak | 0.1 | -25% | ||
Below average | 0.2 | -9 | ||
Average | 0.4 | 12 | ||
Above average | 0.2 | 40 | ||
Strong | 0.1 | 55 | ||
1.0 |
Calculate the stock's expected return. Round your answer to two
decimal places.
%
Calculate the standard deviation. Round your answer to two
decimal places.
%
Expected return
Expected return = 14%
Now calculate Deviation = Return - Expected return
Prob | R | R - R' | (R-R')2 | P×(R-R')2 | |
---|---|---|---|---|---|
W | 0.1 | -25 | -39 | 1521 | 152.1 |
B A | 0.2 | -9 | -23 | 529 | 105.8 |
A | 0.4 | 12 | -2 | 4 | 1.6 |
A A | 0.2 | 40 | 26 | 676 | 135.2 |
S | 0.1 | 55 | 41 | 1681 | 168.1 |
1.0 | R' = 14% | Variance | 562.8 |
Variance = 562.8
Standard Deviation,
I have also calculated using excel attaching the picture of same. Refer the attached picture below
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