Consider a world in which asset returns are generated by a twofactor linear model: Ri = ai +b i1*F1+b i2*F2 + ε i
We observe 3 portfolios with the following expected returns and factor loadings:
portfolio expected return b i1 b i2
A 1,12 1 0,5
B 1,134 3 0,2
C 1,12 3 -0,5
1. Assuming that the APT holds for these portfolios, find the factor risk prices λ1, λ2.
2. Suppose that a fourth portfolio D exists with expected return 1.1 and factor loadings bD1=2 and bD2=0. Does an arbitrage opportunity exist? Explain.