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).
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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