You have been given the following return information for a mutual fund, the market index, and the risk$-$free rate. You also know that the return correlation between the fund and the market is $0\mathrm{.}89.$

Year Fund Market Risk$-$Free

$201817\mathrm{.}60\%34\mathrm{.}50\%2\%$

$201925\mathrm{.}1020\mathrm{.}504$

$202013\mathrm{.}4012\mathrm{.}402$

$20216\mathrm{.}608\mathrm{.}405$

$20221\mathrm{.}804\mathrm{.}203$

Calculate Jensen$$s alpha for the fund, as well as its information ratio.