You have been offered a unique investment opportunity. If you invest $$9,200$ today, you will receive $$460$ one year from now, $$1,380$ two years from now, and $$9,200$ ten years from now.

a$.$ What is the NPV of the opportunity if the cost of capital is $5\mathrm{.}2\%$ per year? Should you take the opportunity?

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

a$.$ What is the NPV of the opportunity if the cost of capital is $5\mathrm{.}2\%$ per year?

If the cost of capital is $5\mathrm{.}2\%$ per year, the NPV is $$.($Round to the nearest cent.$)$