A firm is contemplating starting a project that will require an investment amount of $$500$K today. The project$$s future cash flows are estimated to be: $$80$K$,$ $$140$K$,300$K$,100$K in years $1-4,$ respectively.

a$.$ If the WACC $=5\%,$ what is the NPV$?$

b$.$ Should the firm accept or reject this project?

c$.$ What is the firm$$s IRR?

d$.$ What is the firm$$s payback period if WACC $=5\%?$

e$.$ What is the firm$$s discounted payback period if WACC $=5\%?$

f$.$ Draw $($sketch$)$ the NPV profile of this project, clearly labeling the axis intercepts.