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Quad Enterprises is considering a new three-year expansion project that requires

ID: 2777419 • Letter: Q

Question

Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.55 million. The fixed asset will be depreciated straight-line to zero over its three-year tax life, after which time it will be worthless. The project is estimated to generate $2,030,000 in annual sales, with costs of $725,000. The tax rate is 35 percent and the required return on the project is 15 percent. What is the project's NPV? Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.55 million. The fixed asset will be depreciated straight-line to zero over its three-year tax life, after which time it will be worthless. The project is estimated to generate $2,030,000 in annual sales, with costs of $725,000. The tax rate is 35 percent and the required return on the project is 15 percent. What is the project's NPV?

Explanation / Answer

Calculation of NPV:

Year 0

Year 1

Year 2

Year 3

Initial fixed asset investment

$ (2,550,000.00)

Annual Sales (Net of Tax) = 2030000*(1-35%)

$ 1,319,500.00

$ 1,319,500.00

$ 1,319,500.00

Annual Costs (Net of Tax) = 725000*(1-35%)

$   (471,250.00)

$   (471,250.00)

$   (471,250.00)

Tax Saving on depreciation = (2550000 /3)*35%

$      297,500.00

$      297,500.00

$      297,500.00

Net cash flows (CF)

$ (2,550,000.00)

$ 1,145,750.00

$ 1,145,750.00

$ 1,145,750.00

PVF (15%)

                 1.00000

               0.86957

               0.75614

               0.65752

PV = CF*PVF

$ (2,550,000.00)

$      996,304.35

$      866,351.61

$      753,349.22

NPV = Sum of PVs

$          66,005.18

Calculation of NPV:

Year 0

Year 1

Year 2

Year 3

Initial fixed asset investment

$ (2,550,000.00)

Annual Sales (Net of Tax) = 2030000*(1-35%)

$ 1,319,500.00

$ 1,319,500.00

$ 1,319,500.00

Annual Costs (Net of Tax) = 725000*(1-35%)

$   (471,250.00)

$   (471,250.00)

$   (471,250.00)

Tax Saving on depreciation = (2550000 /3)*35%

$      297,500.00

$      297,500.00

$      297,500.00

Net cash flows (CF)

$ (2,550,000.00)

$ 1,145,750.00

$ 1,145,750.00

$ 1,145,750.00

PVF (15%)

                 1.00000

               0.86957

               0.75614

               0.65752

PV = CF*PVF

$ (2,550,000.00)

$      996,304.35

$      866,351.61

$      753,349.22

NPV = Sum of PVs

$          66,005.18