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Hercules Exercise Equipment Co. purchased a computerized measuring device two years ago for $58,000. The equipment falls into the five-year category for MACRS depreciation and

Hercules Exercise Equipment Co. purchased a computerized measuring device two years ago for $58,000. The equipment falls into the five-year category for MACRS depreciation and can currently be sold for $24,800.

A new piece of equipment will cost $148,000. It also falls into the five-year category for MACRS depreciation.

Assume the new equipment would provide the following stream of added cost savings for the next six years.

Year Cash Savings
1 $62,000
2 54,000
3 52,000
4 50,000
5 47,000
6 36,000

The firms tax rate is 35 percent and the cost of capital is 12 percent.

a.

What is the book value of the old equipment?

Book value $

b.

What is the tax loss on the sale of the old equipment?

Tax loss $


c.

What is the tax benefit from the sale?

Tax benefit $

d.

What is the cash inflow from the sale of the old equipment?

Cash inflow $

e.

What is the net cost of the new equipment? (Include the inflow from the sale of the old equipment.)

Net cost $

f.

Determine the depreciation schedule for the new equipment.

Year Depreciation
Base
Percentage
Depreciation
Annual
Depreciation
1 $ $
2
3
4
5
6

$




g.

Determine the depreciation schedule for the remaining years of the old equipment.

Year Depreciation
Base
Percentage
Depreciation
Annual
Depreciation
1 $ $
2
3
4


h.

Determine the incremental depreciation between the old and new equipment and the related tax shield benefits.

Year Depreciation
on New
Equipment
Depreciation
on Old
Equipment
Incremental
Depreciation
Tax Rate Tax Shield
Benefits
1 $ $ $ $
2
3
4
5
6


i.

Compute the aftertax benefits of the cost savings.

Year Savings (1 ? Tax Rate) Aftertax
Savings
1 $62,000 $
2 54,000
3 52,000
4 50,000
5 47,000
6 36,000


j-1.

Add the depreciation tax shield benefits and the aftertax cost savings to determine the total annual benefits.

Year Tax Shield
Benefits from
Depreciation
Aftertax
Cost Savings
Total Annual
Benefits
1 $ $
2
3
4
5
6


j-2.

Compute the present value of the total annual benefits.

Total annual benefits $


k-1.

Compare the present value of the incremental benefits (j) to the net cost of the new equipment (e).

Net present value $


k-2. Should the replacement be undertaken?
Yes
No

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