You are a new employee with the Metro Daily Planet. The Planet offers three different retirement plans for you to choose from. Plan $1$ starts the first day of work and puts $$1,000$ away in your retirement account a the end of every year for thirty years. Plan $2$ puts away $$2,000$ every year for the last twenty years. Plan $3$ puts away $$4,000$ every year for the last ten years of employment. All three plans guarantee an annual growth rate of $8\%.$ What is the amount of money you will have if you only plan to work at the Planet for the next thirty years and select the plan with the greatest ending value?

$108,956\mathrm{.}45$

$106,591\mathrm{.}52$

$117,791\mathrm{.}71$

$103,161\mathrm{.}73$

$113,283\mathrm{.}21$