You have been offered a unique investment opportunity. If you invest $$$$11$ comma $400$today$,$ you will receive $$$$570$ one year from$$ now, $$$$1$ comma $710$ two years from$$ now, and $$$$11$ comma $400$ ten years from now.

a$.$ What is the NPV of the opportunity if the cost of capital is $5\mathrm{.}6\%$ per$$ year? Should you take the$$ opportunity?

b$.$ What is the NPV of the opportunity if the cost of capital is $1\mathrm{.}6\%$ per$$ year? Should you take it$$ now?

Question content area bottom

Part $1$

a$.$ What is the NPV of the opportunity if the cost of capital is $5\mathrm{.}6\%$ per$$ year?

If the cost of capital is $5\mathrm{.}6\%$ per$$ year, the NPV is $$$

$$

enter your response here. $($Round to the nearest$$ cent.$)$

Part $2$

Should you take the$$ opportunity?$$

You

$$

should

should not

take this opportunity.$($Select from the$$ drop$-$down menu.$)$

Part $3$

b$.$ What is the NPV of the opportunity if the cost of capital is $1\mathrm{.}6\%$ per$$ year?

If the cost of capital is $1\mathrm{.}6\%$ per$$ year, the NPV is $$$

$$

enter your response here. $($Round to the nearest$$ cent.$)$

Part $4$

Should you take it$$ now?

You

$$

should

should not

take this opportunity at the new cost of capital.$($Select from the$$ drop$-$down menu.$)$