Jane has $$4500$ to invest and is looking into the account offerings of two different banks. The first Bank $($A$)$ is offering compound interest, compounded monthly at $3\mathrm{.}5\%,$ The second Bank $($B$)$ is offering daily interest $(365)$ at $3\mathrm{.}25\%.$ Find the amounts she would have at the end of five years. Which one is the better deal?