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Question:
Based on the following information calculate the expected return and standard deviation for two stocks:
State of Economy                                    Recession    Normal     Boom
Probability of State of Economy                   .15             .55           0.30
Rate of Return if State Occurs                      
Stock A                                                            .04             .09            .17
Stock B                                                            -.17             .12             .27
Answer:
The expected return of stock A is 10.65%
The expected return of stock B is 12.15%
The standard deviation of stock A is 4.5%
The standard deviation of stock B is 13.92%
Explanation:
The expected return of stock A is given by

Therefore, the expected return of stock A is 10.65%
The expected return of stock B is given by

Therefore, the expected return of stock B is 12.15%
The standard deviation of stock A is given by Therefore, the standard deviation of stock A is 4.5%
Therefore, the standard deviation of stock A is 4.5%
The standard deviation of stock B is given by Therefore, the standard deviation of stock B is 13.92%
Therefore, the standard deviation of stock B is 13.92%