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Consider following information: Probability of the state of economy Rate of return if state occurs Stock 1 Stock 2 Recession 0.2 3 % 2 %

Consider following information:

Probability of the state of economy

Rate of return if state occurs

Stock 1

Stock 2

Recession

0.2

3 %

2 %

Boom

0.8

10 %

8 %

1) Calculate the expected return of Stock 1. Express your answer as %.

2) Calculate the standard deviation of Stock 1. Express your answer as %.

3) Calculate the expected return of a Portfolio1 invested 40% in Stock 1 and 60% in Stock 2. Express your answer as %.

4) Based on CAPM calculate Stock 1 beta if risk-free asset expected return is 2% and market risk premium is 5%.

5) Calculate the beta of the Portfolio1 consisting 40% of Stock 1 and 60% of Stock 2.

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