A group of investors is considering starting a firm. The joint distribution of the internal rate of return (IRR) for starting the firm Rj and the market portfolio return Rm is assumed to be as follows:

Rj

20%

10%

R 5%

30%

1/8

1/16

1/16

15%

1/16

¼

0

0%

1/8

1/16

1/4

  1. What is the expected return for the market and for the firm?
  2. What is the beta for the firm?
  3. Should the investor group start assuming that the distribution above is correct and the risk-free interest rate is 5%?