You have been offered a unique investment opportunity. If you invest $$11,600$ today, you will receive $$580$ one year from now, $$1,740$ two years from now, and $$11,600$ ten years from now.

a$.$ What is the NPV of the opportunity if the cost of capital is $5\mathrm{.}5\%$ per year? Should you take the opportunity?

b$.$ What is the NPV of the opportunity if the cost of capital is $1\mathrm{.}5\%$ per year? Shou'd you take it now?

a$.$ What is the NPV of the opportunity if the cost of capital is $5\mathrm{.}5\%$ per year?

If the cost of capital is $5\mathrm{.}5\%$ per year, the NPV is $ $($Round to the nearest cent.$)$