Gavin Goldenarm has been playing baseball since he was five years old and has always dreamed of playing in the big leagues. Last season, he was a starting pitcher for a double$-$A $($AA$)-$level baseball team, the Ketchum Baldies; last year, he was the first runner$-$up for the Minor League Player of the Year award. Using his $99$ mph fastball, an impeccable curve ball and slider, and a reliable changeup pitch, he achieved a $18-2$ win$$loss record, an earned run average $($ERA$)$ of $2\mathrm{.}23,$ and $166$ strikeouts in $147\mathrm{.}2$ innings pitched. He is also your best friend. Two weeks ago, on his three$-$year anniversary with the team, Gavin received the following email from his agent, Noah Never$-$Enough, indicating that he is being called up to the Springfield Dusties, the Baldies$$s corresponding Major League Baseball $($MLB$)$ team. Moreover, Gavin$$s contract is being revised to reflect his new status. The email describes the general terms and conditions of Gavin$$s revised contract. Gavin is so excited! According to Noah, the contract is worth $$3,220,400$assuming receipt of all possible bonuses. After rereading the email twice and calling his family, Gavin called you to review the terms of the contract and verify Noah$$s calculations. After an extended conversation about what he$$ll do with his newfound wealth, you and Gavin have agreed that any funds received could be invested to earn $5\mathrm{.}50\%,$ compounded monthly.