In: Finance
the common stock of great lakes concrete ltd. expected to provide a -10% return if the economy tanks and 18% return if the economy is booming. There is equal probability for the economy sliding into recession or streaming ahead at full employment gdp level.
A) what is the expected return on great lakes
stock?
B) what is the standard deviation?
Answers
A)Expected Return of Stock = 4%
B) Standard Deviation of Stock = 14%
Solution
A) Computation of Expected Return on Stock
Probability |
Return (X) |
Probability * Return (X) |
0.5 |
-10 |
-5 |
0.5 |
18 |
9 |
Total |
4 |
Expected Return on Stock (X) = 0.5(-10) + 0.5(18)
= -5 + 9
= 4%
B) Computation of Standard Deviation
i)Variance of the Stock
Expected Return (X) = 4%
Probability |
Return (X) |
Variance of Stock P(X-X)2 |
0.5 |
-10 |
98 |
0.5 |
18 |
98 |
Total |
196(%)2 |
ii) Standard Deviation of The Stock =
=
= 14%