Hassle$-$Free Web is bidding to provide web hosting services for Hotel Lisbon. Hotel Lisbon pays its current provider $$10,000$ per year for hosting its web page, handling transactions, etc. Hassle$-$Free figures that it will need to purchase equipment worth $$14,900$ up front and then spend $$2,200$ per year on monitoring, updates, and bandwidth to provide the service for $3$ years. If Hassle$-$Free's cost of capital is $10\mathrm{.}1\%,$ can it bid less than $$10,000$ per year to provide the service and still increase its value by doing so$?$

Hassle$-$Free can bid as low as $$,.($Round to the nearest cent.$)$