An employee contributes $$15,800$ to a $401(k)$ plan each year, and the company matches $10$ percent of this annually, or $$1,580.$ The employee can allocate the contributions among equities $($earning $11$ percent annually$),$ bonds $($earning $5$ percent annually$),$ and money market securities $($earning $3$ percent annually$).$ The employee expects to work at the company $20$ years. The employee can contribute annually along one of the three following patterns:

$\backslash$table$[[$Equities$,$Option $1,$Option $2,$Option $3],[$Bonds$,60\%,50\%,40\%$