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Your firm is considering a project with a discount rate of 9%. If you start the projecttoday, your firm will incur an initial cost of $490 and will receive cash inflows of$365 per year for 3 years. If you instead wait one year to start the project, the initial cost will rise to $530 and the cash flows will increase to $405 a year for the following 3 years. Would your firm be better off starting the project now or waiting to start the project in a year? Explain clearly including an estimate of the value of the option to wait.

Respuesta :

Answer:

If the company start the project today then NPV of the project,

Year                Cash Flow             PV of Cash flow

0                             -490                          -490

1                              365                   365/1.09= 334.86

2                              365                   365/1.09^2 = 307.21

3                              365                   365/1.09^3= 281.85

                                                                    NPV = 433.92

NPV of Project0= $ 433.92

If a company start a project after one year,

Year        Cash Flow                                 PV of Cash flow

0                       0                                                    0

1                     -530                                  -530/1.09= -486.24

2                           405                                      405/1.09^2 =340.88

3                      405                                   405/1.09^3 = 312.73

4                      405                                   405/1.09^4 = 286.91

                                                                           NPV = 454.28

NPV of Project1= $ 454.28

Here for project start after one year has more Net Present Value of cash flow compared to which start now.

So, Starting a project after one year is more profitable.

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