You have been offered a unique investment opportunity. If you invest $$9,900$ today, you will receive $$495$ one year from now, $$1,485$ two years from now, and $$9,900$ ten years from now.

a$.$ What is the NPV of the opportunity if the cost of capital is $6\mathrm{.}8\%$ per year? Should you take the opportunity?

b$.$ What is the NPV of the opportunity if the cost of capital is $2\mathrm{.}8\%$ per year? Should you take it now?

a$.$ What is the NPV of the opportunity if the cost of capital is $6\mathrm{.}8\%$ per year?

If the cost of capital is $6\mathrm{.}8\%$ per year, the NPV is $$,($Round to the nearest cent.$)$

Should you take the opportunity? $($Select from the drop$-$down menu.$)$

You take this opportunity.

b$.$ What is the NPV of the opportunity if the cost of capital is $2\mathrm{.}8\%$ per year?

If the cost of capital is $2\mathrm{.}8\%$ per year, the NPV is $ $($Round to the nearest cent.$)$

Should you take it now? $($Select from the drop$-$down menu.$)$

You take this opportunity at the new cost of capital.