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Here are the percentage returns on two stocks

Finance

Here are the percentage returns on two stocks.

Month                Digital Cheese           Executive Fruit

January 14%  6%February -5   1 March 6   4 April 8   14 May -6   2 June 4   6 July -4   -4 August -7   -3 

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?

multiple choice 1

  • 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?

multiple choice 2

  • more than the 50%-50%
  • less than the 50%-50%

pur-new-sol

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a-1) Variance of Digital Cheese = 53.2

       Variance of Executive Fruit = 28.7

       Standard deviation of Digital Cheese = 7.3

       Standard deviation of Executive Fruit = 5.4

a-2) Digital Cheese is more riskier because it has higher standard deviation.

b) Variance of portfolio = 34.9

     Standard deviation of portfolio = 5.9

c) Variance(34.9) is less than half way between the variance of the two individual stocks (((53.2+28.7)/2) = 40.9).

    Correct option is 2) less than the 50%-50%

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