I just graduated from UGA as a Fashion Merchandising major and accepted a job that offers me an annual salary of $$59,000($paid in monthly installments$)$ with a one$-$time signing bonus of $$5,000.$

I want to get an early start on my savings so I immediately deposit my signing bonus into a brokerage account and plan to deposit $15\%$ of my monthly salary into that account every month until I retire, in $41$ years.

What is the future value of my retirement savings assuming an interest rate of $8\mathrm{.}4\%$ APR, compounded monthly?