The returns on Relnvest Ltd. and GEM Inc. stocks over the past five months are as follows: Relnvest Ltd GEM Inc January 15% -3% February -3% 3% March 8% 4% April -1% 13% May -4% -2% a. Calculate the standard deviation of the returns of each stock. b. Calculate the standard deviation of the returns of a portfolio that invests in both stocks equally each month. c. Which stock is least risky if held on its own? Is the standard deviation of your portfolio returns smaller or higher than the standard deviation of this stock? What is the underlying reason to this

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Chapter6: Statistical Inference
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The returns on Relnvest Ltd. and GEM Inc. stocks over the past five months are as follows:
Relnvest Ltd
GEM Inc
January
15%
-3%
February
-3%
3%
March
8%
4%
April
May
-1%
13%
-4%
-2%
a. Calculate the standard deviation of the returns of each stock.
b. Calculate the standard deviation of the returns of a portfolio that invests in both stocks equally
each month.
c. Which stock is least risky if held on its own? Is the standard deviation of your portfolio returns
smaller or higher than the standard deviation of this stock? What is the underlying reason to this
result?
Transcribed Image Text:The returns on Relnvest Ltd. and GEM Inc. stocks over the past five months are as follows: Relnvest Ltd GEM Inc January 15% -3% February -3% 3% March 8% 4% April May -1% 13% -4% -2% a. Calculate the standard deviation of the returns of each stock. b. Calculate the standard deviation of the returns of a portfolio that invests in both stocks equally each month. c. Which stock is least risky if held on its own? Is the standard deviation of your portfolio returns smaller or higher than the standard deviation of this stock? What is the underlying reason to this result?
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