QUESTION $12$

The City Council of Radiator Springs is considering a proposal to encourage tourism through the development of a water park. The developers have asked the city to provide a grant of $$1,000,000$ to help pay for construction of the park. They claim that the park will increase sales and tourism taxes to the community in the amount of $"$at least" $$60,000$ per year for $20$ years. The mayor, Who supports the investment, claims that the grant will have a return on investment of $20$ percent over the life of the project. Please format the answers as required below.

A$.$ Calculate the net present value of the proposed investment, with a discount rate of $4$ percent $($the current earning on Radiator Springs' investment portfolio$).$ Record the answer rounded to the dollar $($e$.$g$.,250,000,$ not $250,000\mathrm{.}00)(5$ points$)$

$NPV=$

B$.$ What is the internal rate of return on this proposed investment? Please report the IRR as a decimal and not percentage, carried out to three decimal places $($e$.$g$.,0\mathrm{.}025$ or $0\mathrm{.}037,$ not $2\mathrm{.}5\%$ or $3\mathrm{.}7\%)(5$ points$)$

IRR$=$