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The following information applies to Question 7 and Question 8 You expect there is an equal chance that there will be a recession next year,

The following information applies to Question 7 and Question 8

You expect there is an equal chance that there will be a recession next year, the economy will be normal or there will be a boom on the economy. You hold 2/3 of your portfolio in stocks, and 1/3 of your portfolio in bonds. The expected returns depending on the economy are given below:

Expected returns

Scenario

Probability

Stock (S)

Bond (B)

Recession

33.33%

-8.00%

9.00%

Normal

33.33%

12.00%

4.00%

Boom

33.33%

25.00%

-5.00%

The expected standard deviation for your portfolio is:

(You will need to do several steps to get the answer to this question – i.e. calculated the Standard Deviation for S and B and the covariance of returns)

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