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Here are the percentage returns on two stocks. Month Digital Cheese Executive Fruit January 15 % 9 % February 4 2 March 5 5 April

Here are the percentage returns on two stocks.

Month Digital Cheese Executive Fruit
January 15 % 9 %
February 4 2
March 5 5
April 7 15
May 5 1
June 3 5
July 3 3
August 5 1

a-1. Calculate the monthly variance and standard deviation of each stock. (Do not round intermediate calculations. Round your answers to 1 decimal places.)

a-2. Which stock is the riskier if held on its own?

  • Digital Cheese

  • Executive Fruit

b. Now calculate the variance and standard deviation of the returns on a portfolio that invests an equal amount each month in the two stocks. (Do not round intermediate calculations. Round your answers to 1 decimal places.)

c. Is the variance more or less than half way between the variance of the two individual stocks?

  • more than the 50%-50%

  • less than the 50%-50%

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