Vincent Furnier wants to save for retirement. Presently, he has nothing saved. He believes he can initially contribute $$300$ per month to a retirement plan for $20$ years. Then he believes he will be able to increase the contribution to $$500$ per month for another $15$ years. Given a $12\mathrm{.}0$ percent APR interest rate, what is the value of Vincent's retirement plan after the $35$ years?