Mitchell plans to retire in $3$ years with $$518,000\mathrm{.}00$ in his account. If he receives payments of $$121,890\mathrm{.}95$ per year and he receives his first $$121,890\mathrm{.}95$ payment in $3$ years and his last $$121,890\mathrm{.}95$ payment in $7$ years, then what is the expected annual return for his account?

$5\mathrm{.}68\%($plus or minus $1bps)$

$16\mathrm{.}32\%($plus or minus $1bps)$

$8\mathrm{.}86\%($plus or minus $1bps)$

$10\mathrm{.}84\%($plus or minus $1bps)$

none of the answers are within $1$ bps of the correct answer