You have been offered a unique investment opportunity. If you invest $$11,900$ today, you will receive $$595$ one year from now, $$1,785$ two years from now, and $$11,900$ ten years from now.

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

b$.$ What is the NPV of the opportunity if the cost of capital is $2\mathrm{.}6\%$ per year? Should you take it now?