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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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