You have been offered a unique investment opportunity. If you invest $$11,200$ today, you will receive $$560$ one year from now, $$1,680$ two years from now, and $$11,200$ in ten yearsa. What is the NPV of the opportunity if the cost of capital is $5\mathrm{.}1\%$ per year? Should you take the opportunity?b$.$ What is the NPV of the opportunity if the cost of capital is $1\mathrm{.}1\%$ per year? Should you take it now?a$.$ What is the NPV of the opportunity if the cost of capital is $5\mathrm{.}1\%$ per year?If the cost of capital is $5\mathrm{.}1\%$ per year, the NPV is $ $.($Round to the nearest cent.$)$Should you take the opportunity? $($Select from the drop$-$down menu.$)$Youtake this opportunity.b$.$ What is the NPV of the opportunity if the cost of capital is $1\mathrm{.}1\%$ per year?If the cost of capital is $1\mathrm{.}1\%$ per year, the NPV is $$.($Round to the nearest cent.$)$Should you take it now? $($Select from the drop$-$down menu.$)$Youtake this opportunity at the new cost of capital.