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larisa86 [58]
3 years ago
14

A project will produce cash inflows of $1,750 a year for four years. The project initially costs $10,600 to get started. In year

five, the project will be closed and as a result should produce a cash inflow of $8,500. What is the net present value of this project if the required rate of return is 13.75%?
What is the IRR for the project?
What is the PI for the project?
What is the payback period for the project?
(If the project never pays back then enter 0 for the answer).
What is the discounted payback period for the project? (If the project never pays back then enter 0 for the answer).
Business
1 answer:
LiRa [457]3 years ago
6 0

Answer:

Follows are the solution to the given choices:

Explanation:

\to CF_0 = -10600\\\\\to CF_1 to\  CF_4 = 1750\\\\\to CF_5 = 8500\\\\\to Rate =13.75 \%\\\\

calculating NPV:

   NPV = NPV(Rate,CF_1\ to \ CF_4) + CF_0

             = NPV(13.75 \% ,1750,1750,1750,1750,8500) -10600\\

             = \$ (1,011.40)

Calculating the IRR for the project:

IRR = IRR(CFs) \\\\

        = IRR(-10600,1750,1750,1750,1750,8500)\\\\ = 10.63 \%

Calculating the PI for the project:

PI = \frac{\text{PV of Future CFs}}{\text{Initial Investment}}

     = \frac{NPV(13.75 \% ,1750,1750,1750,1750,8500)}{10600}

     = \frac{\$ 9,588.60}{10600}\\\\ = 0.90

So what's the plan payback time? (if it's never given directly by the venture, enter 0 for the reply).  

\to 10600 - (1750+1750+1750+1750) = 3600\\\\

The  PB occurs in Y_5 = 4 + \frac{(8500-3600)}{8500}\\\\

                                   = 4 + \frac{(4900)}{8500}\\\\  = 4 + \frac{(49)}{85}\\\\ = 4.58 \ yrs

The program's payback method, (if it's never paid back by the project, enter 0 for the answer)  

Because CF's PV is $9,588.60, Disc Payback won't happen. '0' is the answer.

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