We have the following investments in our portfolio:
Investment Amount Expected Return Beta
A Stock $2,000 8% .80
B Stock $2,500 12% .95
C Stock $2,500 14% 1.20
D Stock $3,000 16% 1.50
What is the expected return on this portfolio? What is the beta of
this portfolio? Does this portfolio have more or less systematic
risk than an average asset? Please show your calculations.
Investment | Amount | Weight | Expected Return | Beta | Proportional expected return | Proportional Beta | |
A | B | C | D = A x B | E = A x C | |||
A Stock | $2,000 | 20% | 8% | 0.8 | 1.60% | 0.16 | |
B Stock | $2,500 | 25% | 12% | 0.95 | 3.00% | 0.2375 | |
C Stock | $2,500 | 25% | 14% | 1.2 | 3.50% | 0.3 | |
D Stock | $3,000 | 30% | 16% | 1.5 | 4.80% | 0.45 | |
Total | $10,000 | 100% | 12.90% | 1.1475 | |||
Portfolio Expected Return | 12.90% | ||||||
Portfolio Beta | 1.1475 | or | 1.15 | rounded | |||
This Portfolio systematic risk is more than an average assets, since its beta is more than 1 |
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