You have been offered a unique investment opportunity. If you invest $$11,000$ today, you will receive $$7001$ year from now, $$1,6002$ years from now, and $$11,00010$ years from now

a$.$ What is the NPV of the investment opportunity if the interest rate is $9\%$ per year? Should you take the opportunity?

b$.$ What is the NPV of the investment opportunity if the interest rate is $3\%$ per year? Should you take the opportunity?

a$.$ What is the NPV of the investment opportunity if the interest rate is $9\%$ per year?

The NPV of the investment opportunity if the interest rate is $9\%$ per year is $ $q,($Round to the nearest cent.$)$