You purchase a mutual fund with annual total fees of $0\mathrm{.}1\%$ per year. Your friend purchases a similar fund with higher fees of $1\%$ per year. Both funds can be expected to return $10\%$ per year before fees. You both save $$1250$ per month for $40$ years $($i$.$e$.,480$ months$)$ in a tax free account. Assume your first $$1250$ investment occurs at the end of the first month, and at the end of every month after that.

Assume monthly compounding for you at the rate of $0\mathrm{.}79\%($i$.$e$.,$ using your net$-$of$-$fees annual return of $10\%-0\mathrm{.}1\%,$ the monthly compounding rate is $1+0\mathrm{.}099)^(1/12)-1=0\mathrm{.}79\%).$ Assume monthly compounding for your friend at the rate of $0\mathrm{.}72\%($i$.$e$.,$ using their net$-$of$-$fees annual return of $10\%-1\%,$ the monthly compounding rate is i$/$yr $=(1+0\mathrm{.}09)^(1/12)-1=0\mathrm{.}72\%).$

Calculate the value of your account and your friend's account at the end of $40$ years. What the difference in account values between you and your friend? $($Round your answer to two decimal places$).$