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Consider the following information about stocks I and II: Rate of return if state occurs State of economy Probability of state of economy Stock I

Consider the following information about stocks I and II:

Rate of return if state occurs

State of economy

Probability of state of economy

Stock I

Stock II

Recession

0.15

-0.02

-0.20

Normal

0.55

0.08

0.10

Boom

0.30

0.22

0.25

The market risk premium is 8 percent, and the risk-free rate is 2 percent.

a) Which stock has more systematic risk? Which stock has more total risk? Assume both stock are correctly priced. Show your work.

b) Compute the variance of a portfolio that is 40% invested in stock I and 60% invested in stock II.

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