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A project that provides annual cash flows of $16,300 for eight years costs $69,0

ID: 2720113 • Letter: A

Question

A project that provides annual cash flows of $16,300 for eight years costs $69,000 today. What is the NPV for the project if the required return is 7 percent? (Do not round intermediate calculations. Round your answer to 2 decimal places, e.g., 32.16.) NPV $ At a required return of 7 percent, should the firm accept this project? Accept Reject What is the NPV for the project if the required return is 19 percent? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) NPV $ At a required return of 19 percent, should the firm accept this project? Accept Reject At what discount rate would you be indifferent between accepting the project and rejecting it? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Discount rate %

Explanation / Answer

NPV of Project at a 7% return:

NPV= Net Cash Flow *(1-(1+i)-n)/i –Initial Investment

        = $16300*(1-1+.07)8 /.07) - $69000

       = $ 28332.17

At a 7 % return the NPV is Positive. So we would accept the Project

               

NPV of Project at a 19% return:

NPV= Net Cash Flow *(1-(1+i)-n)/i –Initial Investment

        = $16300*(1-1+.19)8 /.19) - $69000

       = -$ 4543.84

At a 19 % return the NPV is Negative. So we would reject the Project

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