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 company's 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 .90. Mike has obtained the following price information for the period 2015 through 2018. Hi-Tech stock, being growth-oriented, did not pay any dividends during these 4 years.
Stock Price
Year
Beginning
End
2015
$14.36
$21.55
2016
21.55
64.78
2017
64.78
72.38
2018
72.38
91.80
a.Calculate the rate of return for each year, 2015 - 2018, for Hi-Tech stock
b.Assume that each year's 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.
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 Mike's decision regarding the inclusion of Hi-Tech stock in his portfolio?
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