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Consider the following five monthly returns: 0.09 0.02 0.08 0.12 0.03 a. Calculate the arithmetic average monthly return over

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Answer #1

a. Monthly average =(0.09+0.02+0.08+0.12+0.03)/5 =6.8%
b. Geometric average =((1+0.09)*(1+0.02)*(1+0.08)*(1+0.12)*(1+0.03))^(1/5)-1 =6.73%
c. Monthly Variance =((0.09-6.8%)^2+(0.02-6.8%)^2+(0.08-6.8%)^2+(0.12-6.8%)^2+(0.03-6.8%)^2)/(5-1))=0.177%
d. Standard Deviation =((0.09-6.8%)^2+(0.02-6.8%)^2+(0.08-6.8%)^2+(0.12-6.8%)^2+(0.03-6.8%)^2)/(5-1))^0.5 =4.207%

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