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Callaghan Company is considering investing in two new vans that are expected to

ID: 2457281 • Letter: C

Question

Callaghan Company is considering investing in two new vans that are expected to generate combined cash inflows of $28,000 per year. The vans’ combined purchase price is $98,500. The expected life and salvage value of each are five years and $21,900, respectively. Callaghan has an average cost of capital of 14 percent. Calculate the net present value of the investment opportunity. (Negative amount should be indicated by a minus sign. Round intermediate calculations and final answer to 2 decimal places.)

Explanation / Answer

Calculation of net present value of the investment opportunity:

Year 0

Year 1

Year 2

Year 3

Year 4

Year 5

Purchase Price of Vans

$ (98,500.00)

Cash inflows

$ 28,000.00

$ 28,000.00

$ 28,000.00

$ 28,000.00

$ 28,000.00

Salvage Value = 21900*2

$ 43,800.00

Net Cash Flows (CF)

$ (98,500.00)

$ 28,000.00

$ 28,000.00

$ 28,000.00

$ 28,000.00

$ 71,800.00

PVF (14%)

          1.00000

         0.87719

         0.76947

         0.67497

         0.59208

         0.51937

PV = CF *PVF

$ (98,500.00)

$ 24,561.40

$ 21,545.09

$ 18,899.20

$ 16,578.25

$ 37,290.67

Net Present Value = Sum of PVs

$   20,374.61

Calculation of net present value of the investment opportunity:

Year 0

Year 1

Year 2

Year 3

Year 4

Year 5

Purchase Price of Vans

$ (98,500.00)

Cash inflows

$ 28,000.00

$ 28,000.00

$ 28,000.00

$ 28,000.00

$ 28,000.00

Salvage Value = 21900*2

$ 43,800.00

Net Cash Flows (CF)

$ (98,500.00)

$ 28,000.00

$ 28,000.00

$ 28,000.00

$ 28,000.00

$ 71,800.00

PVF (14%)

          1.00000

         0.87719

         0.76947

         0.67497

         0.59208

         0.51937

PV = CF *PVF

$ (98,500.00)

$ 24,561.40

$ 21,545.09

$ 18,899.20

$ 16,578.25

$ 37,290.67

Net Present Value = Sum of PVs

$   20,374.61

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