You are considering opening an account at a local bank, your choices are Bank A or Bank B$.$ Bank A offers $5\%$ annual rate $($APR$),$ compounded monthly. Bank B offers $4\mathrm{.}75\%$ annual rate $($APR$),$ compounded daily $($assume a $365$ days per year$).$ Which offer is better $($i$.$e$.$ maximizes your return for every $$1$ invested$)?($pick the best answer$)$

Group of answer choices

Bank A

Bank B

It makes no difference, both are the same

Neither, it is better to keep your savings under your mattress