An employee contributes $$16,100$ to a $401($k$)$ plan each year, and the company matches $10$ percent of this annually, or $$1,610.$ 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:

Option $1$ Option $2$ Option $3$

Equities $60\%50\%40\%$

Bonds $404550$

Money market securities $0510$

$100\%100\%100\%$

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.