Depreciation Tax Shields
Lincoln Company has purchased equipment for $500,000. After it is
fully depreciated, the equipment will have no salvage value.
Lincoln may select either of the following depreciation schedules
for tax purposes:
Option 1 | Option 2 | |
---|---|---|
Year | Depreciation | Depreciation |
1 | $100,000 | $50,000 |
2 | 160,000 | 100,000 |
3 | 96,000 | 100,000 |
4 | 57,600 | 100,000 |
5 | 57,600 | 100,000 |
6 | 28,800 | 50,000 |
Assuming a 40% tax rate and a 12% desired annual return, compute
the total present value of the tax savings provided by these
alternative depreciation tax shields.
Round answers to the nearest whole number. Use rounded answers to
calculate total.
Option 1 depreciation:
Year (N) |
Tax Savings (FV) |
Present Value |
---|---|---|
1 | Answer | Answer |
2 | Answer | Answer |
3 | Answer | Answer |
4 | Answer | Answer |
5 | Answer | Answer |
6 | Answer | Answer |
Answer |
Option 2 depreciation:
Year (N) | Tax Savings (FV) | Present Value |
---|---|---|
1 | Answer | Answer |
2 | Answer | Answer |
3 | Answer | Answer |
4 | Answer | Answer |
5 | Answer | Answer |
6 | Answer | Answer |
Answer |
Which depreciation schedule would be more attractive to
Lincoln?
AnswerOption 1Option 2
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Option 1 | ||||
Year | Depreciation | Tax savings | PV factor | Present value |
1 | $100,000.00 | $40,000.00 | 0.89286 | $35,714 |
2 | $160,000.00 | $64,000.00 | 0.79719 | $51,020 |
3 | $96,000.00 | $38,400.00 | 0.71178 | $27,332 |
4 | $57,600.00 | $23,040.00 | 0.63552 | $14,642 |
5 | $57,600.00 | $23,040.00 | 0.56743 | $13,074 |
6 | $28,800.00 | $11,520.00 | 0.50663 | $5,836 |
Total | $147,619 | |||
Option 2 | ||||
Year | Depreciation | Tax savings | PV factor | Present value |
1 | $50,000.00 | $20,000.00 | 0.89286 | $17,857 |
2 | $100,000.00 | $40,000.00 | 0.79719 | $31,888 |
3 | $100,000.00 | $40,000.00 | 0.71178 | $28,471 |
4 | $100,000.00 | $40,000.00 | 0.63552 | $25,421 |
5 | $100,000.00 | $40,000.00 | 0.56743 | $22,697 |
6 | $50,000.00 | $20,000.00 | 0.50663 | $10,133 |
Total | $136,467 |
Option 1 would be more attractive to Lincoln
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