Question

You have the following information on the return to three stocks over the past 4 years....

You have the following information on the return to three stocks over the past 4 years. USE THIS INFORMATION TO ANSWER QUESTIONS 8 THROUGH 17

Ford GE Amazon

2016 10 - 6 2

2017 - 5 13 6

2018 14 - 5 1

2019 - 7 18 7

First question: What are the sample mean returns for each of these stocks?

a.

Sample mean of Ford = 16

Sample mean of GE = 20

Sample mean of Amazon = 16

b.

sample mean of Ford = 3

sample mean of GE = 5

sample mean of Amazon = 6

c.

Sample mean of Ford = 3

Sample mean of GE =5

Sample mean of Amazon = 4

d.

none of these

What are the sample variances in returns of the three stocks?

a.

Sample variance of Ford = 10.551

Sample variance of GE = 14.583

Sample variance of Amazon = 2.944

b.

sample variance of Ford = 111.333

sample variance of GE = 212.666

sample variance of Amazon = 89.666

c.

sample variance of Ford = 111.333

sample variance of GE = 151.333

sample variance of amazon = 8.666

d.

None of these

Homework Answers

Answer #1

ANSWER : 1. C & 2. C

1. Computation of sample mean.

YEAR FORD GE AMAZON
2016 10 -6 2
2017 -5 13 6
2018 14 -5 1
2019 -7 18 7
TOTAL 12 20 16

Sample mean of Ford = 12/4 = 3

Sample mean of GE = 20/4 = 5

Sample mean of Amazon = 16/4 = 4

2. Computation of sample variance.

YEAR FORD GE AMAZON
2016 (10 - 3)2 = 49 (-6 - 5)2 = 121 (2 - 4)2 = 4
2017 (-5 - 3)2 = 64 (13 - 5)2 = 64 (6 - 4)2 = 4
2018 (14 - 3)2 = 121 (-5 - 5)2 = 100 (1 - 4)2 = 9
2019 (-7 - 3)2 = 100 (18 - 5)2 = 169 (7 - 4)2 = 9
TOTAL 334 454 26

Sample variance of Ford = 334/3 = 111.333

Sample variance of GE = 454/3 = 151.333

Sample variance of amazon = 26/3 = 8.666

NOTE : Since it is sample variance therefore, the total has been divided by n-1 i.e. 3.

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