You have been offered a unique investment opportunity. If you invest $$10,000$ today, you will receive $$500$ one year from now, $$1,500$ two years from now, and $$10,000$ ten years from now.

a$.$ What is the NPV of the opportunity if the cost of capital is $6\mathrm{.}0\%$ per year? Should you take the opportunity?

b$.$ What is the NPV of the opportunity if the