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Suppose that the actual returns for Portfolios 1, 2, and 3 were as follows: Portfolio 1 11.3 Portfolio 2 12.5 Portfolio 3 9.4 Also, assume

Suppose that the actual returns for Portfolios 1, 2, and 3 were as follows:

Portfolio 1 11.3
Portfolio 2 12.5
Portfolio 3 9.4

Also, assume that the risk-free rate was 5.5 percent and the average return on the market portfolio was 8 percent.

  1. Which of the three portfolios has the highest Jensens alpha? Show your work.

image text in transcribed

\begin{tabular}{|c|c|c|r|} \hline \multicolumn{5}{|c|}{ Portfolio 1 } \\ \hline Security & Amount Invested & Expected Return & Beta \\ \hline Security A & $4,000 & 9% & .80 \\ \hline Security B & $5,000 & 12% & 1.15 \\ \hline Security C & $12,000 & 14% & .95 \\ \hline Security D & $8,000 & 15% & 1.23 \\ \hline \hline \multicolumn{4}{|c|}{ Portfolio 2 } \\ \hline Security & Amount Invested & Expected Return & Beta \\ \hline Security A & $3,000 & 16% & 1.22 \\ \hline Security B & $11,000 & 13% & 1.54 \\ \hline Security C & $9,000 & 8% & .87 \\ \hline Security D & $6,000 & 11% & .81 \\ \hline \hline & \multicolumn{4}{|c|}{ Portfolio 3 } \\ \hline Security & Amount Invested & Expected Return & Beta \\ \hline Security A & $15,000 & 10% & 1.72 \\ \hline Security B & $12,000 & 9% & .81 \\ \hline Security C & $3,000 & 12% & .72 \\ \hline Security D & $2,000 & 15% & 1.54 \\ \hline \end{tabular}

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