A salt mine you inherited will pay you $$47,000$ per year for $25$ years, with the first payment being made today. If you think a fair return on the mine is $7\mathrm{.}7\%,$ how much should you ask for it if you decide to sell it$?$

a$.$ $$610,390$

b$.$ $$514,843$

c$.$ $$554,486$

d$.$ $$521,674$

e$.$ $$561,843$