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You are evaluating a project based on the following: Initial Investment: $750,00

ID: 2722772 • Letter: Y

Question

You are evaluating a project based on the following:

Initial Investment: $750,000

Cash Flows: $200,000 per year for 4 years (end of year)

Required Return: 8% Required Payback: 4 Years

1. Would you accept or reject the project based on the Net Present Value (NPV)?

2. Would you accept or reject the project based on the Payback Period?

3. Would you accept or reject the project based on the Discounted Payback Period?

4. Based on your answers to Questions 1-3, would you accept or reject the project? Why?

Explanation / Answer

1.

Year

CashFlow

PV Factor@ 8%

PV

0

          (750,000)

1.0000

                      (750,000)

1

             200,000

0.9259

                        185,185

2

             200,000

0.8573

                        171,468

3

             200,000

0.7938

                        158,766

4

             200,000

0.7350

                        147,006

NPV

                        (87,575)

NPV=-$87,575

As NPV is negative reject

2.

Payback Period

Year

CashFlow

Cum Cash Flow

                        -  

          (750,000)

                 (750,000)

                          1

             200,000

                 (550,000)

                          2

             200,000

                 (350,000)

                          3

             200,000

                 (150,000)

                          4

             200,000

                     50,000

Payback period= 3+150,000/200,000

                              =3+0.75

                            =3.75 years

As it is recovering in 3.75 years that is within project life .Accept

3. Discounted payback period

Year

Cash Flow

PV Factor @ 8%

PV cash flow

Discounted cum Cash flow

0

          (750,000)

                     1.0000

                (750,000.00)

                               (750,000.00)

1

             200,000

                     0.9259

                  185,185.19

                               (564,814.81)

2

             200,000

                     0.8573

                  171,467.76

                               (393,347.05)

3

             200,000

                     0.7938

                  158,766.45

                               (234,580.60)

4

             200,000

                     0.7350

                  147,005.97

                                 (87,574.63)

Could not recover even in 4 years.

Reject the project as it could not recover

4. Project is not acceptable as NPV is negative because NPV is relavant method to compute

Year

CashFlow

PV Factor@ 8%

PV

0

          (750,000)

1.0000

                      (750,000)

1

             200,000

0.9259

                        185,185

2

             200,000

0.8573

                        171,468

3

             200,000

0.7938

                        158,766

4

             200,000

0.7350

                        147,006

NPV

                        (87,575)

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