Marian Plunket owns her own business and is considering an investment. If she undertakes the investment, it will pay $$4,000$ at the end of each of the next $3$ years. The opportunity requires an initial investment of $$1,000$ plus an additional investment at the end of the second year of $$5,000.$ What is the NPV of this opportunity if the interest rate is $2\mathrm{.}0\%$ per year? Should Marian take it$?$

What is the NPV of this opportunity if the interest rate is $2\mathrm{.}0\%$ per year?

The NPV of this opportunity is $$,($Round to the nearest cent.$)$