Maud'Dib Intergalactic has a new project available on Arrakis. The cost of the project is $$42,000$ and it will provide cash flows of $$24,600,$$$31,300,$ and $$32,600$ over each of the next three years, respectively. Any cash earned in Arrakis is "blocked" and must be reinvested in the country for one year at an interest of $2\mathrm{.}3$ percent. The project has a required return of $9\mathrm{.}7$ percent. What is the project's NPV$?$

A$)$ $$48,511\mathrm{.}13$

B$)$ $$52,921\mathrm{.}24$

C$)$ $$31,128\mathrm{.}60$

D$)$ $$26,195\mathrm{.}58$

E$)$ $$42,405\mathrm{.}55$