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Personal Finance Problem Rate of return, standard deviation, and coefficient of variation Mike is searching for a stock to include in his current stock portfolio.
Personal Finance Problem 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 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 S14.36 S21.55 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 year's return is equally probable, and calculate the average re- turn 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 band 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 inclu sion of Hi-Tech stock in his portfolio
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