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t124 Do bonds reduce the overall risk of an investment portfolio? Let x be a ran

ID: 3291604 • Letter: T

Question

t124

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks). Let y be a random variable representing annual return for Vanguard Balanced Index (60% stock and 40% bond). For the past several years, we have the following data.

15

0

21

21

22

19

17

23

20

16

21

6

10

15

14

9

27

11

1

9

Compute a 75% Chebyshev interval around the mean for x values and also for y values. (Round your answers to two decimal places.)


Compute a 75% Chebyshev interval around the mean for x values and also for y values. (Round your answers to two decimal places.)

Compute the coefficient of variation for each fund. (Round your answers to the nearest whole number.)

x:

15

0

21

21

22

19

17

23

20

16

y:

21

6

10

15

14

9

27

11

1

9

Explanation / Answer

as per Chebychev; 75% value lies 2 std deviation away from mean.,

therefore

as coefficient of variation =(std deviaiton/mean)*100

therefore

x y 15 21 0 -6 21 10 21 15 22 14 19 9 17 27 -23 -11 -20 -1 -16 -9 mean 5.6 6.9 std deviation 18.5963 13.0593