In $2019,$ you built a pavilion to rent for special events $$15,000$ and started operations in $2020.$ Each year you operate, you incur $$100$ in expenses. In $2020,$ you made no money because of the pandemic. But in $2021$ you earned $$1,000,$ and grew your business by an $$1000$ each year after $($e$.$g$.$$$2000$ in $2022,$ $$3000$ in $2023,$ etc.$).$ At the end of $2024,$ you sold the pavilion for $$15,796\mathrm{.}68.$ Draw a cash flow diagram of this project. Calculate the NPV of this investment given discount rates of $10\%,12\%,$ and $18\%.$ What is the IRR of this investment?