Question
Consider two well-diversified portfolios A and B that conform to a two-factor model (the two shocks to factors, F1,t and F2,t, have zero means), that
Consider two well-diversified portfolios A and B that conform to a two-factor
model (the two shocks to factors, F1,t and F2,t, have zero means), that is, their alphas are equal to
zero, and the risk-free rate (assume that you may both lend and borrow at the risk-free rate). All
returns are expressed in percentage points:
rA,t = 10.4 + 0.5 F1,t + 0.7 F2,t ; rB,t = 20.3 + 1.5 F1,t + 1.4 F2,t ; rf = 3.
a) Write the expressions for the expected rates of return on portfolios A and B according to
the two-factor model (Hint: The general form is E(rX) = rf + X,1 1 +X,2 2; use all the specific
quantities as given above).
b)What is the risk premium per unit of factor-1 risk, 1? What is the risk premium per unit
of factor-2 risk, 2 (Hint: Use the two expressions developed under a) to set up a system of equations
and solve for 1 and 2)
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