Question: 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
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 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 2009 through 2012. Hi-Tech stock, being growth-oriented, did not pay any dividends during these 4 years.
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a. Calculate the rate of return for each year, 2009 through 2012, 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.
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 hisportfolio?
Stock price Year 2009 2010 2011 2012 Beginning $14.36 21.55 64.78 72.38 End $21.55 64.78 72.38 91.80
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