Annuity $-$ Present Value. If Brenda starts saving $$600\mathrm{.}00$ at the end of each month for the next $14$ years. Given that the account pays her $4\mathrm{.}65\%$ compounded monthly, what is the total present value of her saving $($round to nearest the cent$)?$

$$ a$.$ $$142,233\mathrm{.}66$

$$ b$.$ $$74,271\mathrm{.}64$

$$ c$.$ $$141,684\mathrm{.}63$

$$ d$.$ $$73,984\mathrm{.}95$