Should you buy the new machine-npv method


Problem:

The new machine will be depreciated using the straightline method over its useful life. The new machine will replace an existing machine that was bought 10 years ago for $600,000. It had an estimated useful life of 15 years and is being depreciated using the straightline method over its life. The machine could be sold for $150,000 today.

If the new machine was implemented, the company estimates that revenues will increase by the following amounts each year:

Years 1 - 3    $300,000
Years 4 - 5    $250,000

Cash costs are also expected to increase by an additional $60,000 each year.

The company has an after-tax discount rate of 9 percent and is subject to the company tax rate of 30 percent. Assuming Levelhead Company is not integrated with the dividend imputation system, should the firm purchase the new machine?

Salvage of Old Machine $150,000




Installation costs 
$10,000




Freight costs 
$10,000




Tax savings from salvage Old Machine $15,000




Tax savings from depreciation differential $30,000 $30,000 $30,000 $30,000 $30,000
Inflow

$300,000 $300,000 $300,000 $250,000 $250,000
Increase Cash Cost

($60,000) ($60,000) ($60,000) ($60,000) ($60,000)
Increase in Tax Payable
($72,000) ($72,000) ($72,000) ($57,000) ($57,000)
Sale Price





$350,000
Net Cash Flow
($815,000) $198,000 $198,000 $198,000 $163,000 $513,000



1.09 1.1881 1.295029 1.411582 1.538624
PV Cash Flow
($815,000) $181,651 $166,653 $152,892 $115,473 $333,415








Reuired Rate Of Return 9.00%





NPV 135,084





IRR ?





The company should purchase the automated machine as the NPV > 0

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Finance Basics: Should you buy the new machine-npv method
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