Your friend never took a personal finance class, but found out you did. So he comes to you for advice. He has two funds offered through his employer. One is a high growth mutual fund with $10\%$ growth. The other is a moderate growth index fund offering $7\%$ growth. At first glance it seems like an obvious choice, but the mutual fund is taking a $2\mathrm{.}7\%$ fee of your friends $$500$ deposit, while the index fund is taking only a $0\mathrm{.}7\%$ fee. Over his $40$ year career, what is the future value of the high growth fund after accounting for the fee?

$$ $$142,832\mathrm{.}61$

$$1,514,331\mathrm{.}61$

$$1,028,330\mathrm{.}61$

$$1,428,328\mathrm{.}61$

$$ $$428,332\mathrm{.}61$