In: Finance
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.
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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