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QUESTION 5 After extensive research, you believe the probability distribution for next year's return on FB...

QUESTION 5

  1. After extensive research, you believe the probability distribution for next year's return on FB Inc is:
    Return Probability
    -1.5% 0.2
    20.2% 0.3
    -6.3% 0.3
    12.3% 0.2

    Compute the standard deviation of this return.  

    Express your answer as a percentage to three decimal places (the percent sign is not essential). That is, if you compute a standard deviation of 0.12345, enter your answer as 12.345.

Homework Answers

Answer #1

first let us know the expected return

=> (-1.5%)*0.20 + (20.2%*0.30) + (-6.3%*0.30) + (12.3%*0.2)

=>-0.30+6.06-1.89+2.46

=>6.33%.

now,

calculation of standard deviation:

return probability (return - expected return)^2 Probability*(return - expected return)^2
-1.5% 0.20 (-1.5-6.33)^2=>61.3089 0.20*61.3089=>12.26178
20.20% 0.30 (20.2-6.33)^2=>192.3769 0.30*192.3769=>57.71307
-6.3% 0.30 (-6.3-6.33)^2=>159.5169 0.30*159.5169=>47.85507
12.3% 0.20 (12.3-6.33)^2=>35.6409 0.20*35.6409=>7.12818
variance 124.9581

standard deviation = 124.9581

=>11.178.

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