Hassle$-$Free Web is bidding to provide webpage hosting services for Hotel Lisbon. Hotel Lisbon pays its current provider $ $10$ comma $300$ per year for hosting its webpage and handling transactions on$$ it$,$ etc.$$ Hassle$-$Free figures that it will need to purchase equipment worth $ $15$ comma $200$ up front and then spend $ $2$ comma $100$ per year on$$ monitoring, updates, and bandwidth to provide the service for $3$ years. If$$ Hassle$-$Free's cost of capital is $10\mathrm{.}4\%,$ can it bid less than $ $10$ comma $300$ 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$$ dollar.$)$