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A company is considering purchasing equipment to perform quality inspections of one of its finished products....

A company is considering purchasing equipment to perform quality inspections of one of its finished products. The equipment will cost $150,000 and it is estimated that its specialized function will have no resale value at the end of its useful life. It is estimated that the operating and maintenance costs of the equipment will be $1,000 in the first year and management expects these costs to increase in subsequent years in line with the inflation rate. The company estimates that the life of the equipment will be 10 years. The team qualifies for depreciation purposes as a 5-year MACRS property. Presumably that the general inflation during that period will be 3%, the tax rate of 35% and that the rate of return adjusted for inflation of 15% (Market Rate).
Determine:
1) The present PW and EAW value of the costs associated with this purchase in a tax analysis.
2) The present PW and EAW value of the costs associated with this purchase in a post-tax analysis.
You must use Excel to solve this problem and display all your computations. Include comments and annotations.

Solutions

Expert Solution

Present Worth(PW) of Cash flow
(Cash Flow)/((1+i)^N)
i=Discount Rate =15%=0.15
N= Year of cash flow
X Cost of Equipment $150,000
N A B=150000*A C=B*35% D=C/(1.15^N)
Year 5 yearMACRS Depreciation Rate Annual Depreciation Depreciation tax shield Present Worth of Tax Shield
1 20.00% $30,000 $10,500 $9,130
2 32.00% $48,000 $16,800 $12,703
3 19.20% $28,800 $10,080 $6,628
4 11.52% $17,280 $6,048 $3,458
5 11.52% $17,280 $6,048 $3,007
6 5.76% $8,640 $3,024 $1,307
SUM $36,234
Y Present Worth of Depreciation Tax Shield $36,234
Maintenance Cost in Year 1 $1,500
Maintenance Cost in Year 2 $1,545 (1500*1.03)
Maintenance Cost in Year (N+1)=1.03*Maintenance cost in Year (N)
N A B=A/(1.15^N)
Year Maintenance cost Present Worth of Cost
1 $1,500 $1,304
2 $1,545 $1,168
3 $1,591 $1,046
4 $1,639 $937
5 $1,688 $839
6 $1,739 $752
7 $1,791 $673
8 $1,845 $603
9 $1,900 $540
10 $1,957 $484
SUM $8,348
Z Present Worth of Maintenance Cost $8,348
PW=Present Worth of Total Cost=X+Z-Y
PW=150000+8348-36234= $122,114
Rate Discount Rate 15%
Nper Number of years 10
PV Present Worth of Costs $122,114
PMT EAW=Equivalent Annual Worth $24,331
(Using PMT function of excel)
Pre Tax analysis:
PW=Present Worth of Cost =X+Z $158,348

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