Problem $4-37$ Calculating Annuity Present Values

You want to borrow $$100,000$ from your local bank to buy a new sailboat. You can afford to make monthly payments of $$2,200,$ but no more. Assuming monthly compounding, what is the highest APR you can afford on a $54-$month loan? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$