Question
Rate of return, standard deviation, and coefficient of variation Mike is searching for a stock to include in his current stock portfolio. He is interested
Rate of return, standard deviation, and coefficient of variation Mike is searching
for a stock to include in his current stock portfolio. He is interested in Hi-Tech,
Inc.; he has been impressed with the companys computer products and believes
that Hi-Tech is an innovative market player. However, Mike realizes that any
time you consider a technology stock, risk is a major concern. The rule he follows
is to include only securities with a coefficient of variation of returns below 0.90.
Mike has obtained the following price information for the period 2012 through
2015. Hi-Tech stock, being growth-oriented, did not pay any dividends during these
4 years.
Stock price
Year Beginning End
2012 $14.36 $21.55
2013 21.55 64.78
2014 64.78 72.38
2015 72.38 91.80
a. Calculate the rate of return for each year, 2012 through 2015, for Hi-Tech stock. b. Assume that each years return is equally probable, and calculate the average return over this time period. c. Calculate the standard deviation of returns over the past 4 years. (Hint: Treat these data as a sample.) d. Based on b and c, determine the coefficient of variation of returns for the security. e. Given the calculation in d, what should be Mikes decision regarding the inclusion of Hi-Tech stock in his portfolio?
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