Question
you currently have 50% of your wealth in a risk-free asset and 50% in the two mutual funds as shown below, which you may assume
you currently have 50% of your wealth in a risk-free asset and 50% in the two mutual funds as shown below, which you may assume are efficiently and correctly priced:
Fund | Expected Return on Stock (%) | Beta of Fund | % of Wealth Invested in Fund |
A | 12.6 | 0.90 | 20 |
B | 17.1 | 1.40 | 30 |
Required: (be sure to show your work)
(a) Using the CAPM, and assuming the market is in equilibrium, calculate the risk-free rate and the expected return on the market portfolio.
Notwithstanding your answers in part (a), use rf = 4% and E(rM) = 12% for parts (b) through (d).
(b) Calculate the expected return on your portfolio.
(c) Calculate the beta of your portfolio.
(d) You want to invest in only the risk-free asset and the market portfolio. You want an expected rate of return of 10%. How would you allocate your wealth between the risk-free asset and the market portfolio?
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