You’ve observed the following returns on Crash-n-Burn Computer’s stock over the
ID: 2760149 • Letter: Y
Question
You’ve observed the following returns on Crash-n-Burn Computer’s stock over the past five years: 12 percent, –9 percent, 20 percent, 17 percent, and 10 percent. a. What was the arithmetic average return on Crash-n-Burn’s stock over this five-year period? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place, e.g., 32.1.) Average return ________ % b-1 What was the variance of Crash-n-Burn’s returns over this period? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., 32.16161.) Variance _______ b-2 What was the standard deviation of Crash-n-Burn’s returns over this period? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Standard deviation _________%
Explanation / Answer
a)To find the average return, we sum all the returns and
divide by the number of returns,
so: Average return = (0.12 – 0.09 + 0.20 + 0.17 + 0.10)/5 = 0.10, or 10%
b)
Variance =1/4*((0.12-0.1)^2+(-0.09-0.1)^2+(0.2-0.1)^2+(0.17-0.1)^2+(0.1-0.1)^2)
= 0.01285
Standard deviation = 0.01285^(1/2) = 0.11336 = 11.336%
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