$(10$ pts$)$ Given the following data, calculate the Information Ratio, and the Sorentino Ratio.

Average portfolio return $=6\%$; Average benchmark return $=4\mathrm{.}2\%$; Standard deviation of the portfolio versus the benchmark return $=0\mathrm{.}6$; Semi$-$standard deviation of the portfolio $=3\mathrm{.}5\%$; and

desired minimum, floor, return of the portfolio to be $4\%.$

$4.$A Calculation for Information Ratio $q,$

$4.$B What does the information Ratio tell you?

$4.$C Calculation for Sorentino Ratio $q,$

$4.$D What does the Sorentino Ratio tell you?