Abdel's Boutique is looking at a new project they consider to be a little riskier than their current operations. Thus, management has decided to add an additional $3\mathrm{.}5$ percent to their company's overall cost of capital when evaluating this project. The project has an initial cash outlay of $$30,000$ and projected cash inflows of $$12,000$ in year one, $$20,000$ in year two, and $$8,000$ in year three. The firm uses $40$ percent debt and $60$ percent common stock as their capital structure. The company's cost of equity is $14$ percent while the aftertax cost of debt for the firm is $7$ percent. What is the projected net present value of the new project?

Group of answer choices

$$1,467\mathrm{.}38$

$$3,904\mathrm{.}59$

$$965\mathrm{.}67$

$$2,783\mathrm{.}50$

$$2,360\mathrm{.}46$