Your financial planner, Frank Vasil, CFP ${?}^{},$ 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 $$3,000$ at the beginning of every year from your cash bonus that you could expect an average return of $12\%,$ compounded monthly. If you were to retire in $30$ years from now, how much would you have saved by then $($approximately$)?$

Select one:

a$.$ $$682,665$

b$.$ $$824,659$

C $$881,047$

d$.$ $$931,570$