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Given the following information: State of Economy Probability Rate of Return if State Occurs Stock G Rate of Return if State Occurs Stock H Boom

Given the following information:

State of Economy Probability Rate of Return if State Occurs Stock G Rate of Return if State Occurs Stock H
Boom 0.3 12% 25%
Normal 0.5 15% 10%
Recession 0.2 6% -18%

Suppose you hold a portfolio with 60% invested in G and 40% invested in H.

(1) What is the portfolios return if each state of the economy occurs, respectively?

(2) What is the portfolios expected return?

(3) What is the portfolios standard deviation?

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