A stock will provide a rate of return of either ?29% or 34%.
If both possibilities are equally likely, calculate the stock's expected return and standard deviation. (Do not round intermediate calculations. Enter your answers as a whole percent.)
Expected Return | ???? | % |
Standard Deviation | ???? | % |
(a) Calculation of expected return of stocks: | |||||
Probability(a) | Return(%) (b) | (a)*(b) | |||
0.5 | -29 | -14.5 | |||
0.5 | 34 | 17 | |||
Expected Return | 2.5 | ||||
Therefore expected return of stock is 3% | |||||
(b) Calculation of standard deviation of stock: | |||||
Probability(a) | Return | (return- expected return) | (return- expected return)^2 (b) | (a*b) | |
0.5 | -29 | -32 | 1024 | 512 | |
0.5 | 34 | 31 | 961 | 480.5 | |
992.5 | |||||
Standard deviation of stock= (992.5)^1/2= 32% | |||||
Note: Expected return for calculation of standard deviation is taken as a rounded off figure. |
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