Your financial planner, Frank Vasil, CFP $\backslash (\{\}^\{\backslash$star$\}\backslash ),$ advised you to start saving early in life for your retirement because of the power of compounding. He indicated that if you were to invest $\backslash (\backslash$$ $3,200\backslash )$ at the beginning of every year from your cash bonus that you could expect an average return of $\backslash (11\backslash \%\backslash ),$ compounded monthly. If you were to retire in $30$ years from now, how much would you have saved by then $($approximately$)?$Select one:a$.\backslash (\backslash$$ $682,665\backslash )$b$.\backslash (\backslash$$ $793,178\backslash )$c$.\backslash (\backslash$$ $824,659\backslash )$d$.\backslash (\backslash$$ $931,570\backslash )$