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5. A portfolio is invested 40% in stock A, 30% in stock B, and 30% in stock C. Assuming that the returns are normally distributed,

5.

A portfolio is invested 40% in stock A, 30% in stock B, and 30% in stock C. Assuming that the returns are normally distributed, what is the 68% probability range of returns for any given year?

State of Probability of Rate of Return if State Occurs

Economy State of Economy Stock A Stock B Stock C

Boom 0.10 0.05 0.16 0.23

Normal 0.70 0.08 0.09 0.11

Recession 0.20 0.15 -0.03 -0.25

a.

4.12% to 15.18%

b.

2.29% to 12.37%

c.

4.99% to 18.67%

d.

3.68% to 13.89%

e.

1.69% to 8.34%

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