Conglomerated Industries has four divisions, each worth about one quarter of the firm's market value. The following table summarizes the possible returns on the divisions as well as on the market portfolio.

a. Calculate the expected rate of return and standard deviation of return for each division, the firm, and the market. (Do not round intermediate calculation. Round your answers to 2 decimal places. Use minus sign to enter negative answers, if any.)

b. What is the beta of the divisions, the firm, and the market? (Do not round intermediate calculation. Round your answers to 4 decimal places.)

c. According to the CAPM, what rate of return do investors require for each division, if the risk-free rate is 4% and the expected rate of return for the market is as calculated in (a)? (Do not round intermediate calculation. Round your answers to 2 decimal places.)

d. If the company was thinking of selling the underperforming divisions, which one(s) should it consider selling?

Probability .30 Division Internal Rates of Return B D 7% -10% -1% -3% 7% 14% 7% 16% 8% 28% 9% 22% State of the Economy Recession Normal Boom Correlation with the market portfolio Market Portfolio -1% 12% 21% .50 .20 .702 .999 .968 .980 1 State of the Economy Probability Division A (%) Division B (%) Division C (%) Division D (%) Firm (%) Market (%) Recession 0.30 7 -10 -1 -3 -1 Normal 0.50 7 14 7 16 12 Boom 0.20 8 28 9 22 21 Expected return (%) Standard deviation (%) BA BB BD BMarket BFirm % |% rc % % Division A Division B Division C Division D