question archive An investment project requires a net investment of $100,000

An investment project requires a net investment of $100,000

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An investment project requires a net investment of $100,000. The project is expected to generate annual net cash inflows of $28,000 for the next 5 years. The firm's cost of capital is 12 percent. Determine whether you would accept or reject the project using the discounted payback period method. The company rejects projects that exceed a discounted payback period of over 3 years.

4.94 years, Reject the project

2.5 years, accept 4.09 years,

accept 1.43 years,

accept You cannot calculate discounted payback from the information given.

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Answer:

Calculation of discounted payback period :

         

Year

Cash flows (CF)

PVF (12%)

PV = CF*PVF

Cumulative PV

0

$             (100,000.00)

            1.00000

$          (100,000.00)

$         (100,000.00)

1

$                  28,000.00

            0.89286

$              25,000.00

$           (75,000.00)

2

$                  28,000.00

            0.79719

$              22,321.43

$           (52,678.57)

3

$                  28,000.00

            0.71178

$              19,929.85

$           (32,748.72)

4

$                  28,000.00

            0.63552

$              17,794.51

$           (14,954.22)

5

$                  28,000.00

            0.56743

$              15,887.95

$                    933.73

         

Discounted payback period = 4 years + 1 *(14954.22/ 15887.95)

Discounted payback period = 4.94 years

         

Discounted payback period is over 3 years, hence we should Reject the Project

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