An employee contributes $$15,400$ to a $401(k)$ plan each year, and the company matches $10$ percent of this annually, or $$1,540.$ The

employee can allocate the contributions among equities $($earning $12$ percent annually$),$ bonds $($earning $6$ percent annually$),$ and money

market securities $($earning $4$ percent annually$).$ The employee expects to work at the company $20$ years. The employee can contribute

annually along one of the three following patterns:

Calculate the terminal value of the $401(k)$ plan for each of the $3$ options, assuming all returns and contributions remain constant over

the $20$ years. $($Do not round intermediate calculations. Round your answers to the nearest whole number. $($e$.$g$.,32))$