C Corp believes its latest project, which will cost $$60,000$ to install, will generate a perpetual stream of cash flows. Cash flow at the end of this year will be $$4,000,$ and cash flows in future years are expected to grow indefinitely at an annual rate of $6\%.$

a$.$ If the discount rate for this project is $9\%,$ what is the project NPV$?$

b$.$ What is the prect IRR?