A medium$-$sized company is evaluating the NPV of a potential investment project. The project requires an initial investment of $$200,000.$ The estimated annual cash flows for the first five years are as follows:

Year $1$: $$50,000$

Year $2$: $$55,000$

Year $3$: $$60,000$

Year $4$: $$65,000$

Year $5$: $$70,000$

Base Case Assumptions:

Discount Rate $($r$)$: $10\%$

Time Horizon: $5$ years

If the discount rate is increased to $12\%,$ what will be the NPV of the project?

Multiple Choice

$$12,257\mathrm{.}59$

$$8,257\mathrm{.}59$

$$10,257\mathrm{.}59$

$$14,327\mathrm{.}59$