question archive The last four years of returns for a stock are as shown? here: Year 1 2 3 4 Return -3

The last four years of returns for a stock are as shown? here: Year 1 2 3 4 Return -3

Subject:FinancePrice:5.84 Bought3

The last four years of returns for a stock are as shown? here:

Year 1 2 3 4

Return -3.8% 27.6% 12.4% 4.5%

.

a. What is the average annual? return?

b. What is the variance of the? stock's returns?

c. What is the standard deviation of the? stock's returns?

Note?: Notice that the average return and standard deviation must be entered in percentage format. The variance must be entered in decimal format.

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a.

10.175%

b.

0.01787

c.

13.37%

Step-by-step explanation

a.

Average annual return=(-3.8%+27.6%+12.4%+4.5%)/4

=40.7%/4=10.175%

b.

Variance

=[(-0.038-0.10175)2+(0.276-0.10175)2+(0.124-0.10175)2+(0.045-0.10175)2]/4-1

=(0.01953+0.03036+0.000495+0.00322)/3

=0.053605/3

=0.01787

c.

Standard deviation=(0.01787)1/2

=0.133678

=13.37%