A project has expected cash inflows of $$2,200$ in year $1,$ $$2,200$ in year $2,$ $$2,200$ in year $3,$ and $$4,000$ in year $4.$ After year $4,$ there will be no further cash flows. If the NPV $=$ $$656$ and the discount rate is $12\%,$ what is the initial cost of the project?

Group of answer choices

$$7,000$

$$7,170$

$$8,166$

$$9,211$