The Greasy Spoon Restaurant is considering a project with an initial cost of $$525,000.$ The project will not produce any cash flows for the first three years. Starting in year $4,$ the project will produce cash inflows of $$721,000$ a year for three years. This project is risky, so the firm has assigned it a discount rate of $16$ percent. What is the project's net present value?

Group of answer choices

$$417,294\mathrm{.}85$

$$451,786\mathrm{.}86$

$$492,255\mathrm{.}56$

$$512,408\mathrm{.}23$

$$424,591\mathrm{.}11$