A project that requires two cash investments in the amount of $$7,000$ each, one today and one in $2$ years. In exactly $6$ years, this project will produce a cash flow of $$24,000.$ If the firm can borrow external funds at $5\%,$ what is the NPV for this project?

$$4,229$

$$4,370$

$$4,488$

$$4,560$