Question

Stock A pays 30% in a boom, 10% in a normal economy, and -30% in a...

Stock A pays 30% in a boom, 10% in a normal economy, and -30% in a recession.  Stock B pays -15% in a boom, 0% in a normal economy, and 20% in a recession. If all three states of the economy are equally likely next year, what is the one-year expected return on a portfolio that is 70% stock A and 30% stock B? Enter your answer as a percentage point without the % sign, and round it to the second decimal point (i.e., if the answer is 10.3456%, enter it as 10.34).

Homework Answers

Answer #1

STOCK A

Economy Probability Stock A returns Prob*Stock A returns
Boom 0.33 30.00% 10.00%
Normal 0.33 10.00% 3.33%
Recession 0.33 -30.00% -10.00%
1.00 Expected Return 3.33%

STOCK B

Economy Probability Stock A returns Prob*Stock A returns
Boom 0.33 -15.00% -5.00%
Normal 0.33 0.00% 0.00%
Recession 0.33 20.00% 6.67%
1.00 Expected Return 1.67%

One year expected return on the portfolio

Weights Returns Weights*Returns
Stock A 0.7 3.33% 2.33%
Stock B 0.3 1.67% 0.50%
Portfolio Return 2.83%
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