You have been offered a unique investment opportunity. If you

invest $$8,900$today$,$ you will receive $$445$ one year from$$ now,

$$1,335$ two years from$$ now, and $$8,900$ ten years from now. a$.$ What

is the NPV of the opportunity if the cost of capital is $6\mathrm{.}7\%$ per$$

year? Should you take the$$ opportunity? b$.$ What is the NPV of the

opportunity if the cost of capital is $2\mathrm{.}7\%$ per$$ year? Should you

take it$$ now?$$