Lynchburg Development has a project that is expected to produce cash inflows of $$3,200$ a year for $4$ years with a final cash inflow of $$4,700$ in year $5.$ The project's initial cost is $$10,500.$ What is the net present value of this project if the required rate of return is $7\mathrm{.}8$ percent?

Group of answer choices

$-$$$811\mathrm{.}46$

$$1,374\mathrm{.}81$

$$3,374\mathrm{.}69$

$$8,988\mathrm{.}12$

$$5,671\mathrm{.}18$