A company is considering a new project they consider to be a riskier than their current operations. Thus, management has decided to add $5$ percent to their company's overall cost of capital, WACC, when evaluating this project. The project requires an investment of $$40,000$ right away and projected cash inflows of $$45,000$ at the end of the first year. The company's overall WACC is $8$ percent. What is the projected net present value of the new project to the nearest dollar? $($Hint: You need to find the project's WACC and discount the cash flow by the project WACC.$)$

a$.$ $$176\mathrm{.}99$

$($b$.)$ $$841\mathrm{.}12$

c$.$ $$208\mathrm{.}40$

d$.-$$$592\mathrm{.}61$

e$.$ $$1,666\mathrm{.}67$