You hold the positions in the table below.
COMPANY PRICE # SHARES BETA
Goodmonth $30.00 400 + 3.0
Icestone $20.00 250 – 4.0
Bridgerock $50.00 440 + 2.0 A.
What is the beta of your portfolio? Beta
B. If you expect the market to earn 17% and the risk-free rate is 2%, based on it’s beta, what is the expected return of the portfolio?
Expected Portfolio Return %
A | ||||||||
Stock | Price | Shares | Amount | Weights | Beta | Portfolio beta | ||
Good month | 30 | 400 | 12000 | 0.31 | 3 | 0.93 | ||
Icestone | 20 | 250 | 5000 | 0.13 | -4 | -0.52 | ||
Bridgeroom | 50 | 440 | 22000 | 0.56 | 2 | 1.12 | ||
Total | 39000 | 1 | 1.53 | |||||
Portfolio beta = 1.53 | ||||||||
B. | ||||||||
Market return = 17% | ||||||||
Risk Ffree r ate = 2% | ||||||||
Beta = 1.53 | ||||||||
Portfolio returnr = Risk free rate + Beta *(Market rrate - Risk free rate) | ||||||||
2% + 1.53 * (17-2)% = 24.95% | ||||||||
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