You have been offered a unique investment opportunity. If you invest $$$$12,000$today$,$ you will receive $$$$7001$ year from$$ now, $$$$1,4002$ years from$$ now, and $$$$12,00010$ years from now.

a$.$ What is the NPV of the investment opportunity if the interest rate is $8\%$ per$$ year? Should you take the$$ opportunity?

b$.$ What is the NPV of the investment opportunity if the interest rate is $2\%$ per$$ year? Should you take the$$ opportunity?

$1.$ What is the NPV of the investment opportunity if the interest rate is $10\%$ per$$ year?$$

The NPV of the investment opportunity if the interest rate is$10\%$ per year is $$$ $\_\_\_\_\_($Round to the nearest$$ cent.$)$

$2.$ Should you take the investment$$ opportunity? $($Select the best choice$$ below.$)$

a$.$Reject it because the NPV is less than $0.$

b$.$Take it because the NPV is equal to or greater than $0.$

$3.$ What is the NPV of the investment opportunity if the interest rate is $2\%$ per$$ year?

The NPV of the investment opportunity if the interest rate is $2\%$ per year is $$$ $\_\_\_\_\_.($Round to the nearest$$ cent.$)$

$4.$Should you take the investment$$ opportunity? $($Select the best choice$$ below.$)$

a$.$Reject it because the NPV is less than $0.$

b$.$Take it because the NPV is equal to or greater than $0.$