You are analyzing a project with an initial cost of $40,000.$ The project is expected to return $12,000$ the first year, $36,000$ the second year, and $40,000$ the third and final year. There is no salvage value. Assume the current spot rate is $\mathrm{.}6346.$ The nominal return relevant to the project is $12$ percent in the U$.$S$.$ The nominal risk$-$free rate in the U$.$S$.$ is $3\mathrm{.}4$ percent while it is $4\mathrm{.}1$ percent in the U$.$K$.$ Assume that uncovered interest rate parity exists. What is the net present value of this project in U$.$S$.$ dollars? $12$ Points

a$.$ $$38760$

b$.42275$

c$.26828$

d$.$ $$34870$