$18.$ Suppose that the $10-$year annual return for the S$\backslash$&P $500($market portfolio$)$ is $10\backslash \%,$ while the average annual return on Treasury bills $($a good proxy for the risk free rate$)$ is $\backslash (5\backslash \%\backslash ).$ The market beta by definition is $1.$ Assume you are evaluating three distinct portfolio managers with the following $10-$year results:

Compute the Treynor value for each portfolio manager. Given your results, which portfolio is more preferrable and why do you think so$?$