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Consider a three-factor APT model. The factors and associated risk premiums are

ID: 2740979 • Letter: C

Question

Consider a three-factor APT model. The factors and associated risk premiums are

A stock whose return is uncorrelated with all three factors. (Round your answer to 1 decimal place.)

A stock with average exposure to each factor (i.e., with b = 1 for each). (Round your answer to 1 decimal place.)

A pure-play energy stock with high exposure to the energy factor (b = 2) but zero exposure to the other two factors. (Round your answer to 1 decimal place.)

An aluminum company stock with average sensitivity to changes in interest rates and GNP, but negative exposure of b = –1.5 to the energy factor. (The aluminum company is energy-intensive and suffers when energy prices rise.) (Round your answer to 2 decimal places.)

  Factor Risk Premium   Change in GNP 5.5 %   Change in energy prices –1.5   Change in long-term interest rates +2.5

Explanation / Answer

a.

Expected rate of return 5 %

b.

5 + 1(5.5) + 1(-1.5) + 1(2.5) = 11.5%

Expected rate of return 11.5%

c.

5 + 0(5.5) + 2.5(-1.5) + 0(2.5) = 1.25%

Expected rate of return 1.25%

d.

5 + 1(5.5) + (-1.5)(-1.5) + 1(2.5) = 15.25%.

Expected rate of return 15.25%