Question

Gluon Inc. is considering the purchase of a new high pressure glueball. It can purchase the glueball for $220,000 and sell its old low-pressure glueball, which is fully depreciated, for $40,000. The new equipment has a 10-year useful life and will save $48,000 a year in expenses. The opportunity cost of capital is 10%, and the firm’s tax rate is 21%. What is the equivalent annual saving from the purchase if Gluon can depreciate 100% of the investment immediately. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Answer 1

EQUIVALENT ANNUAL SAVING:

"the equivalent annual saving from the purchase if Gluon can depreciate 100% of the investment immediately is $13,245.99".

Since they are  purchasing the new machine by first disposing off the old machine.

Hence,

First step is to Determine the Net initial investment

Net initial investment = $220,000 - $40,000

Net initial investment= $180,000

Second step is to determine the Total savings

Depreciation = $220,000/10

Depreciation = $22,000

Savings before tax = $48,000 - $22,000

Savings before tax= $26,000

Tax at 21% = (21%*$26,000)

Tax at 21% =$5,460

Savings after tax  $20,540

($26,000-$5,460)

Add back depreciation $22,000

Cash flow after tax $42,540

($20,540+$22,000)

Third step is to determine PV of CFAT and NPV

PV of CFAT = $42,540 x (10%, PVFA10Y)

PV of CFAT = $42,540 x 6.1446

PV of CFAT = $261,391

NPV = $261,391 - $180,000 = $81,391

Now let determine the EQUIVALENT ANNUAL SAVING(EAS)

Equivalent annual saving(EAS) = NPV/(10%, PVFA10Y)

Equivalent annual saving(EAS)= $81,391/6.1446

Equivalent annual saving(EAS)= $13,245.99

Therefore the EQUIVALENT ANNUAL SAVING from the purchase if Gluon can depreciate 100% of the investment immediately is $13,245.99

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