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The production manager of Tany Company prepared the following data to convince t

ID: 2563179 • Letter: T

Question

The production manager of Tany Company prepared the following data to convince the general manager to acquire a new machine

  

  

  

The cost of machine

150,000

  

Useful life

3

years

Cash cost savings

50,000

  

Tax rate

20%

  

Cost of capital

10%

  

Find Net Present Value

-$30,000 to -$20,000

-$20,000 to -$10,000

-$10,000 to +$10,000

+$10,000 to +$20,000

+$20,000 to +$30,000

The production manager of Tany Company prepared the following data to convince the general manager to acquire a new machine

  

  

  

The cost of machine

150,000

  

Useful life

3

years

Cash cost savings

50,000

  

Tax rate

20%

  

Cost of capital

10%

  

Explanation / Answer

a.-$30,000 to -$20,000.

given ,

initial cost = $150,000.

annual depreciation = $150,000 / 3 years

=>$50,000.

annual cash flows are found out in the following table.

NPV is shown in the below table.

NPV is - 25,657 which lies between -$30,000 and -$20,000.

note:

PVA factor of 10% for 3 years => [ 1 - (1.1)^(-3)]/0.10

=>[ 1 - (0.7513148)]/0.10

=>2.486852

cost savings $50,000 Less: depreciation ($50,000) Before tax increase in income $0 less tax @20% $0 After tax net income from project $0 Add: depreciation $50,000 annual net cash flows from the project ($0 + $50,000) $50,000