You have been offered a unique investment opportunity. If you invest $$8,900$ today, you will receive $$445$ one year from now, $$1,335$ two years from now, and $$8,900$ ten years from now.

a$.$ What is the NPV of the opportunity if the cost of capital is $6\mathrm{.}1\%$ per year? Should you take the opportunity?

b$.$ What is the NPV of the opportunity if the cost of capital is $2\mathrm{.}1\%$ per year? Should you take it now?

a$.$ What is the NPV of the opportunity if the cost of capital is $6\mathrm{.}1\%$ per year?

If the cost of capital is $6\mathrm{.}1\%$ per year, the NPV is $$.($Round to the nearest cent.$)$