$1-$ Assume a Project has the following cash flows: an outflow of $$7,000$ followed by inflows of $$3,000,$ $$2,500$ and $$3,500$ at one$-$year intervals at a cost of capital of $7\%.$

a$)$ Calculate the NPV of the project.

b$)$ Calculate IRR of the Project.

c$)$ Calculate profitability index of the project.

d$)$ Calculate the payback of the Project.

e$)$ Calculate the discounted payback of the project.