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Suppose you have a portfolio consisting of four stocks: Stock A, Stock B, Stock C, and Stock D. The following amounts are invested in each

Suppose you have a portfolio consisting of four stocks: Stock A, Stock B, Stock C, and Stock D. The following amounts are invested in each stock: Stock A = $5,000; Stock B = $7,000; Stock C = $8,000; and Stock D = $5,000.

State of Economy

Probability of State

Stock A

Stock B

Stock C

Stock D

Boom

25%

-30%

-8%

13%

-10%

Normal

45%

-4%

2%

5%

3%

Recession

?

-25%

11%

-2%

16%

What is the portfolio standard deviation?

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