$4.$ The Noodle Sisters is planning to open a new restaurant. The new restaurant will cost

$$500,000$ today. In year $1,$ the restaurant will generate $$100,000$ in FCFs$.$ In year $2,$ the

restaurant will generate $$150,000$ in FCFs$.$ In year $3,$ the restaurant will generate $$200,000$

in FCFs$.$ After year $3,$ cash flows are expected to grow by $2\mathrm{.}5\%$ per year. If the WACC is $8\%,$

what is the NPV of this project?