Question 15 of 19: 5.2: Depreciation Methods and Canadian Tax Abbreviations

Question 5.1–5.2: Depreciation Methods and Canadian Tax Abbreviations (10 marks)

Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.

5.1.1 — Depreciation: definition and purpose. Depreciation is the systematic allocation of a capital asset's cost over its useful life, recognizing that the asset's economic value is consumed gradually through use rather than all at once at purchase. For tax purposes it matters because depreciation (in Canada, formally Capital Cost Allowance, CCA) is a deductible non-cash expense against taxable income — the larger the depreciation/CCA claimed in a given year, the lower that year's taxable income and tax bill, even though no actual cash left the business in that year for the deduction itself (only the smaller cash outlay at original purchase). This makes the timing of depreciation a genuine tax-planning lever, quite separate from a business's true economic (accounting) depreciation.

Given. Asset cost $=\$100{,}000$; useful life $n=5$ years; salvage value $=\$5{,}000$.

Find. The annual depreciation charge under each of six methods.

Approach. Apply each method's own defining formula to the same asset; declining-balance methods are computed on the asset's remaining book value each year, not on original cost.

1. (i) Full expensing / 100% depreciation. The entire depreciable cost is deducted in year 1: $$\boxed{D_1 = \$100{,}000-0\text{ salvage adjustment applied} = \$100{,}000\text{ in Year 1; \$0 thereafter}}$$ (Full expensing writes off the whole undepreciated cost immediately; salvage value is only relevant on eventual disposal, as recaptured income.)
2. (ii) Straight line. Equal annual charges over the useful life: $$D = \frac{\text{Cost}-\text{Salvage}}{n} = \frac{100{,}000-5{,}000}{5}$$ $$\boxed{D = \$19{,}000/\text{yr, Years 1--5}}$$
3. (iii) Units of production. $D_t = \dfrac{\text{Cost}-\text{Salvage}}{\text{Total estimated units}}\times\text{Units produced in period }t$ — this method needs an estimate of total lifetime production capacity and each year's actual output, neither of which the source supplies for this generic asset; it cannot be reduced to a single annual dollar figure without that data (flagged below).
4. (iv) Declining balance, 20% p.a. (as literally specified, no half-year rule). $D_t = 0.20\times\text{Book value}_{t-1}$: $$\text{Y1: }100{,}000\times0.20=20{,}000\ \ \text{Y2: }80{,}000\times0.20=16{,}000\ \ \text{Y3: }64{,}000\times0.20=12{,}800$$ $$\text{Y4: }51{,}200\times0.20=10{,}240\ \ \text{Y5: }40{,}960\times0.20=8{,}192$$ $$\boxed{\$20{,}000\!\to\!16{,}000\!\to\!12{,}800\!\to\!10{,}240\!\to\!8{,}192;\ \text{book value end Y5}=\$32{,}768}$$
5. (v) Tax depreciation (CCA), illustrative Class 8, 20%, with the half-year rule. Canadian CCA applies the same declining-balance mechanics as (iv), but the half-year rule allows only half the normal rate on the year of acquisition: $$\text{Y1: }100{,}000\times0.5\times0.20=10{,}000\ \ \text{Y2: }90{,}000\times0.20=18{,}000\ \ \text{Y3: }72{,}000\times0.20=14{,}400$$ $$\text{Y4: }57{,}600\times0.20=11{,}520\ \ \text{Y5: }46{,}080\times0.20=9{,}216$$ $$\boxed{\$10{,}000\!\to\!18{,}000\!\to\!14{,}400\!\to\!11{,}520\!\to\!9{,}216;\ \text{UCC end Y5}=\$36{,}864}$$
6. (vi) Tax depreciation, accelerated (illustrative 50% DB with the half-year rule, e.g. an accelerated mining/manufacturing CCA class). $$\text{Y1: }100{,}000\times0.5\times0.50=25{,}000\ \ \text{Y2: }75{,}000\times0.50=37{,}500\ \ \text{Y3: }37{,}500\times0.50=18{,}750$$ $$\text{Y4: }18{,}750\times0.50=9{,}375\ \ \text{Y5: }9{,}375\times0.50=4{,}687.50$$ $$\boxed{\$25{,}000\!\to\!37{,}500\!\to\!18{,}750\!\to\!9{,}375\!\to\!4{,}688;\ \text{most cost recovered by Year 2}}$$

5.3 — Canadian mining tax abbreviations. CCA — Capital Cost Allowance, the tax (as opposed to accounting) depreciation system; reduces taxable income by the declining-balance rate for the asset's CCA class. C41(e) — CCA Class 41 (and its accelerated sub-class 41.2), the class covering mine and certain mining-related assets, allowing accelerated write-off of eligible mining capital. CDE — Canadian Development Expense, costs of bringing a new mine into production (pre-production development, certain exploration once a resource is known); deductible at a defined annual rate, generally slower than CEE. CEE — Canadian Exploration Expense, grassroots/early exploration costs; typically 100% deductible in the year incurred (or renounced to investors via flow-through shares), the most tax-favourable category. CCEE — Cumulative Canadian Exploration Expense, the running pool balance of CEE amounts not yet deducted, tracked account-by-account for the deduction rate to apply against. ITC — Investment Tax Credit, a direct credit (not merely a deduction) against tax payable for specified capital spending (e.g. in designated regions or on qualifying exploration), more valuable dollar-for-dollar than a deduction. E&D — Exploration and Development expense, the general umbrella term/account grouping CEE and CDE together in a mining company's tax and financial reporting. CMT — (Ontario) Corporate Minimum Tax, a minimum tax floor applied to large corporations based on book (accounting) income, intended to ensure profitable companies pay some tax even where CCA/CEE/CDE deductions would otherwise reduce regular taxable income to near zero; each of these provisions lowers current-year cash tax paid (CCA/CDE/CEE/ITC) except CMT, which acts as a floor limiting how far that reduction can go.