In: Finance
Calculate the standard deviation of the following returns.
Year Return
1 0.18
2 0
3 -0.05
4 0.2
5 -0.17
Enter the answer with 4 decimals, e.g. 0.1234
| Standard Deviation | |||
| σ =√Σ(X-X̅)^2/n | |||
| Where, | |||
| σ = standard deviation | |||
| X= Return | |||
| X̅= Expected Return | |||
| n= number of observations | |||
| Sr. NO | X | X - X̅ (i.e.X--0.4) | (X-X̅)^2 | 
| 1 | 18.00 | 18.40 | 338.56 | 
| 2 | 0.00 | 0.40 | 0.16 | 
| 3 | -5.00 | -4.60 | 21.16 | 
| 4 | 2.00 | 2.40 | 5.76 | 
| 5 | -17.00 | -16.60 | 275.56 | 
| Total | -2.00 | 641.20 | |
| X̅=Σ X/n =-2/5= | -0.4 | ||
| Σ(X-X̅)^2=641.2 | |||
| 128.24 | |||
| σ =√641.2/5 | |||
| σ=11.32% | |||
| Standard Deviation : 0.1132 |