Question: Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. Returns Year X Y 1 10

Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y.

Returns

Year

X

Y

1

10 %

23 %

2

28

44

3

17

-11

4

-18

-25

5

19

52

Requirement 1:

(a)

Calculate the arithmetic average return for X.

(Click to select)13.66%14.00%11.20%12.66%9.07%

(b)

Calculate the arithmetic average return for Y.

(Click to select)16.60%13.45%18.76%20.25%20.75%

Requirement 2:

(a)

Calculate the variance for X. (Do not round intermediate calculations.)

(Click to select)0.0307700.0384620.0305450.0381810.024924

(b)

Calculate the variance for Y. (Do not round intermediate calculations.)

(Click to select)0.0918780.1037690.1297110.1417870.113430

Requirement 3:

(a)

Calculate the standard deviation for X. (Do not round intermediate calculations.)

(Click to select)17.38%21.93%17.54%19.54%14.21%

(b)

Calculate the standard deviation for Y. (Do not round intermediate calculations.)

Suppose a stock had an initial price of $72 per share, paid a dividend of $1.20 per share during the year, and had an ending share price of $79.

Compute the percentage total return.

A stock had returns of 11 percent, 16 percent, 14 percent, 8 percent, 13 percent, and -1 percent over the last six years.

Required:

(a)

What is the arithmetic return for the stock?

(Click to select)10.17%12.20%10.68%10.27%10.37%

(b)

What is the geometric return for the stock?

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