The value of a retirement savings account with an annual contribution of $$600($contributions made at the end of each year, including the last year$),$ and an APR of $5\mathrm{.}4\%$ after $40$ years is $$79,960\mathrm{.}27.$ Find the value of this retirement savings account after $52$ years. Round your answer to the nearest cent.

A$.$ $$151,304\mathrm{.}82$

B$.$ $$165,660\mathrm{.}72$

C$.$ $$160,075\mathrm{.}29$

D$.$ $$154,695\mathrm{.}52$

E$.$ $$169,319\mathrm{.}35$