Over the past five years, Corny Dogs, Inc. shareholders have had returns of 13.97%, 14.42%, 9.95%, 8.61%, and 8.88%, respectively. What is the standard deviation of returns for Corny Dogs’ stock?
Standard deviation%
Step-1:Calculation of Average Return | ||||||||
Average Return | = | Total Return/Life | ||||||
= | (13.97%+14.42%+9.95%+8.61%+8.88%)/5 | |||||||
= | 11.17% | |||||||
Step-2:Calcuation of variance of the return | ||||||||
Year | Return | Average Return | ||||||
a | b | c=(a-b)^2 | ||||||
1 | 0.1397 | 0.1117 | 0.000784 | |||||
2 | 0.1442 | 0.1117 | 0.001056 | |||||
3 | 0.0995 | 0.1117 | 0.000149 | |||||
4 | 0.0861 | 0.1117 | 0.000655 | |||||
5 | 0.0888 | 0.1117 | 0.000524 | |||||
Total | 0.003169 | |||||||
Variance | = | 0.003169 | / | 5 | ||||
= | 0.000634 | |||||||
Step-3:Calculation of Standard Deviation | ||||||||
Standard Deviation | = | Variance ^ (1/2) | ||||||
= | 0.000634 | ^ (1/2) | ||||||
= | 0.025175 | |||||||
Thus, Standrad deviation is | 2.52% | |||||||
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