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a) Consider the following two stocks. Probabilities ( pi pi ) Stock a Stock b Recession p1= p1= 29% -4% 3% Normal p2= p2= 32%

a) Consider the following two stocks.

Probabilities (pipi ) Stock "a" Stock "b"
Recession p1=p1= 29% -4% 3%
Normal p2=p2= 32% 6% -12%
Boom p3=p3= 39% 18% 24%

What is the expected return of each stock? Enter your answers as a percentage rounded to 2 decimal places. Do not enter the percentage sign in your answer.

ra=ra=

rb=rb=

b) Consider a portfolio that contains two stocks. Stock "A" has an expected return of 30% and a standard deviation of 49%. Stock "B" has an expected return of -8% and a standard deviation of 28%. The proportion of your wealth invested in stock "A" is 25%. The correlation between the two stocks is 1.

What is the expected return of the portfolio? Enter your answer as a percentage. Do not include the percentage sign in your answer.

Enter your response rounded to 2 DECIMAL PLACES.

What is the standard deviation of the portfolio? Enter your answer as a percentage. Do not include the percentage sign in your answer.

Enter your response rounded to 2 DECIMAL PLACES.

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