使用原書 Table 4.6 比較 GAAP straight-line depreciation 與 tax MACRS depreciation,計算 Deferred Tax Liability。
公司 EBITDA 100,000。GAAP 使用 5,000 straight-line depreciation;tax reporting 使用 8,750 MACRS depreciation;tax rate 40%。
| Income Statement | GAAP | Tax |
|---|---|---|
| EBITDA | 100,000 | 100,000 |
| Depreciation | (5,000) | (8,750) |
| EBT | 95,000 | 91,250 |
| Taxes @ 40% | (38,000) | (36,500) |
| Net Income | 57,000 | 54,750 |
Temporary Depreciation Difference = Accelerated Depreciation − Straight-Line Depreciation;Deferred Tax Liability = Temporary Difference × Tax Rate。
Accelerated depreciation difference = 8,750 − 5,000 = 3,750;Deferred Tax Liability = 3,750 × 40% = 1,500。GAAP tax expense 38,000 比 tax return taxes 36,500 高 1,500。
加速折舊讓 tax reporting 在前期認列較高 depreciation,降低當期 taxable income 與 cash taxes,但差異屬 temporary timing difference,因此形成 Deferred Tax Liability。
請只根據 Table 4.6 的 EBITDA 100,000、GAAP depreciation 5,000、tax depreciation 8,750 與 40% tax rate,逐步解釋 Deferred Tax Liability 1,500 的來源。
**問題:**若 tax depreciation 改為 10,000,GAAP depreciation 仍為 5,000、tax rate 40%,Deferred Tax Liability 為多少?