You have been offered a unique investment opportunity. If you invest $9,100 today, you will receive $455 one year from now, $1,365 two years from now, and $9,100 ten years from now.

a. What is the NPV of the opportunity if the cost of capital is 5.5% per year? Should you take the opportunity?

b. What is the NPV of the opportunity if the cost of capital is 1.5% per year? Should you take it now?