Question

Over the past five years, Corny Dogs, Inc. shareholders have had returns of 13.97%, 14.42%, 9.95%,...

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%

Homework Answers

Answer #1
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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