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. If you are given the following information on three shares: Rate of return if state occurs State of economy Probability of state Share X

. If you are given the following information on three shares:

Rate of return if state occurs

State of economy

Probability of state

Share X

Share Y

Share Z

Growth

0.2

0.32

0.47

0.65

Normal

0.55

0.18

0.22

0.08

Recession

0.25

0.05

-0.17

-0.35

  • i. Suppose you decide to invest 50 percent in share X, 30 percent in share Y and 20 percent in share Z. What would be the portfolios expected return and standard deviation?

  • ii. If the expected risk premium is 10.56 percent, what is the expected cash rate?

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