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A robotic assembly work center has been proposed to replace the manual assembly

ID: 2654512 • Letter: A

Question

A robotic assembly work center has been proposed to replace the manual assembly of 250,000 pieces annually. It would cost $1,000,000 to purchase, ship and install the new work center. The adoption of this new work center would not have any effect on revenue. Assume that the new assembly center will be worth $250,000 at the end of year 5 The robotic assembly work center is expected to reduce the COGS per unit from $2.34 each to $1.24 each. No changes of working capital or other expenses is expected. The proposal policy on such acquisitions for the company are: 5-year MACRS, a MARR of 15%, income tax rates of 15%, capital gains tax rate of 20%, and a time span of 5 years. Would the acquisition be financially justified? Show excel formula's/calculations. 1 2 3 4 5 MACRS 5 year 20.00% 32.00% 19.20% 11.52% 11.52% A robotic assembly work center has been proposed to replace the manual assembly of 250,000 pieces annually. It would cost $1,000,000 to purchase, ship and install the new work center. The adoption of this new work center would not have any effect on revenue. Assume that the new assembly center will be worth $250,000 at the end of year 5 The robotic assembly work center is expected to reduce the COGS per unit from $2.34 each to $1.24 each. No changes of working capital or other expenses is expected. The proposal policy on such acquisitions for the company are: 5-year MACRS, a MARR of 15%, income tax rates of 15%, capital gains tax rate of 20%, and a time span of 5 years. Would the acquisition be financially justified? Show excel formula's/calculations. 1 2 3 4 5 MACRS 5 year 20.00% 32.00% 19.20% 11.52% 11.52%

Explanation / Answer

Initial Investement = -1000000

Salvage Value = 250000

Book Value at the end of 5th year = 1000000*(1-20%-32%-19.20%-11.52%-11.52%)

Book Value at the end of 5th year = 57600

Post Tax salavge Value = Salvage Value - capital gains tax rate *(Salvage Value - Book value)

Post Tax salavge Value = 250000- 20%*(250000-57600)

Post Tax salavge Value = 211520

Saving in Cash flow in year 1 = (Saving in COGS per Unit)*No of Unit Sold *(1-income tax rate) + Deprciation * tax rate

Saving in Cash flow in year 1 =  (2.34-1.24)*250000 *(1-15%) + 1000000*20%*15%

Saving in Cash flow in year 1 = 263750

Saving in Cash flow in year 2 = (Saving in COGS per Unit)*No of Unit Sold *(1-income tax rate) + Deprciation * tax rate

Saving in Cash flow in year 2 =  (2.34-1.24)*250000 *(1-15%) + 1000000*32%*15%

Saving in Cash flow in year 2 = 281750

Saving in Cash flow in year 3 = (Saving in COGS per Unit)*No of Unit Sold *(1-income tax rate) + Deprciation * tax rate

Saving in Cash flow in year 3 =  (2.34-1.24)*250000 *(1-15%) + 1000000*19.2%*15%

Saving in Cash flow in year 3 = 262550

Saving in Cash flow in year 4 = (Saving in COGS per Unit)*No of Unit Sold *(1-income tax rate) + Deprciation * tax rate

Saving in Cash flow in year 4 =  (2.34-1.24)*250000 *(1-15%) + 1000000*11.52%*15%

Saving in Cash flow in year 4 = 251030

Saving in Cash flow in year 5 = (Saving in COGS per Unit)*No of Unit Sold *(1-income tax rate) + Deprciation * tax rate

Saving in Cash flow in year 5=  (2.34-1.24)*250000 *(1-15%) + 1000000*11.52%*15%

Saving in Cash flow in year 5 = 251030

NPV = -1000000 + 263750/1.15 + 281750/1.15^2  + 262550/1.15^3  + 251030/1.15^4  + 251030/1.15^5  + 211520/1.15^5

NPV = - 11,481.49

Decision : The acquisition would not be financially justified since NPV is negative

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