Assume that the following two-index model describes returns: [bar{r}_{i}=r_{f}+b_{i 1} lambda_{1}+b_{i 2} lambda_{2}] Assume that the following
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Assume that the following two-index model describes returns:
\[\bar{r}_{i}=r_{f}+b_{i 1} \lambda_{1}+b_{i 2} \lambda_{2}\]
Assume that the following three portfolios are observed:
(a) According to APT, what is the expected return, factor-loading relationship for this market.
(b) Now consider portfolio $\mathrm{D}$ with the following characteristics:
\[r_{D}=15 %, \quad b_{D 1}=2, \quad b_{D 2}=1\]
Is an arbitrage opportunity possible? If yes, then describe the arbitrage opportunity.
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