You have just invested in a portfolio of three stocks. The
amount of money that you invested in each stock and its beta are
summarized below.
Stock | Investment | Beta | |||
A | $188,000 | 1.51 | |||
B | 282,000 | 0.52 | |||
C | 470,000 | 1.35 |
Calculate the beta of the portfolio and use the capital asset
pricing model (CAPM) to compute the expected rate of return for the
portfolio. Assume that the expected rate of return on the market is
18 percent and that the risk-free rate is 6 percent.
(Round beta answer to 3 decimal places, e.g. 52.750 and
expected rate of return answer to 2 decimal places, e.g.
52.75%.)
Amount | weight | beta | weight*beta | |
A | 188,000.00 | 0.2000 | 1.51 | 0.3020 |
B | 282,000.00 | 0.3000 | 0.52 | 0.1560 |
C | 470,000.00 | 0.5000 | 1.35 | 0.6750 |
Beta = 1.133
expected return = 6% + 1.133*12% = 19.60%
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