ACCA Applied Knowledge · Financial Accounting
Depreciation: formula sheet
Key formulas
- Cost of an asset
- Cost = purchase price (net of trade discount) + import duties and non-refundable taxes + directly attributable costs
- Include delivery, installation and testing. Exclude general overheads, training and administration costs.
- Depreciable amount
- Depreciable amount = Cost − Residual value
- This is the total amount to charge to profit or loss over the useful life.
- Carrying amount
- Carrying amount = Cost − Accumulated depreciation
- Also called net book value. It is not market value. Impairment losses are also deducted if there are any.
- Straight-line annual charge
- Annual depreciation = (Cost − Residual value) ÷ Useful life in years
- Gives an equal charge each full year.
- Depreciation journal
- Dr Depreciation expense (profit or loss); Cr Accumulated depreciation (statement of financial position)
- Do not credit the asset cost account.
- Depreciable amount
- Cost − residual value
- Used in straight-line and units of production. Reducing balance applies its rate to carrying amount, not to this figure.
- Straight-line annual charge
- (Cost − residual value) ÷ useful life in years
- Same charge every full year. Adjust for part years if the question says so.
- Reducing balance annual charge
- Rate % × carrying amount at start of the year
- Carrying amount = cost − accumulated depreciation. Residual value is not deducted first; the rate already allows for it.
- Units of production charge
- (Cost − residual value) ÷ total expected units × units used in the year
- Total expected units might be hours, kilometres or output.
- Carrying amount
- Cost − accumulated depreciation
- This is the figure shown in the statement of financial position.
- Annual depreciation journal
- Dr Depreciation expense; Cr Accumulated depreciation
- Made each year for each asset class. Same entry whatever the method.
- Carrying amount
- Carrying amount = Cost − Accumulated depreciation
- This is the figure shown in the statement of financial position.
- Straight-line charge
- (Cost − Residual value) ÷ Useful life
- Use when the question says straight-line. Adjust for part years if told to.
- Reducing balance charge
- Depreciation = Rate × Opening carrying amount
- Apply the rate to carrying amount, not cost.
- Closing accumulated depreciation
- Opening balance + Charge for the year − Depreciation on disposals
- Use this to build the ledger account balance.
- Annual straight-line depreciation
- (Cost − Residual value) ÷ Useful life in years
- The starting point before any time apportionment.
- Part-year depreciation
- Annual charge × Months in use ÷ 12
- Use for assets bought or sold during the year, if the policy is monthly.
- Reducing balance part-year
- Carrying amount × Rate % × Months ÷ 12
- Rate applies to carrying amount, not cost. Apportion the year's charge.
- Revised annual charge after change in estimate
- (Carrying amount at date of change − New residual value) ÷ Remaining useful life
- Remaining life is from the date of change, not from purchase.
- IAS 8 treatment
- Change in estimate = prospective, no restatement of prior years
- Recognised in profit or loss in the current and future periods.
- Carrying amount
- Carrying amount = Cost − Accumulated depreciation
- Use accumulated depreciation up to the disposal date, including any part-year charge.
- Profit or loss on disposal
- Profit/(Loss) = Proceeds − Carrying amount
- Positive means profit, negative means loss. Proceeds include any part-exchange allowance.
- Disposal account (debit side)
- Dr Disposal: asset at cost
- Journal: Dr Disposal, Cr Non-current asset (cost).
- Disposal account (credit side)
- Cr Disposal: accumulated depreciation and proceeds
- Journal: Dr Accumulated depreciation, Cr Disposal. Dr Bank (or receivable), Cr Disposal.
- Part-exchange new asset cost
- Cash paid = Cost of new asset − Part-exchange allowance
- Record the new asset at its full price, not at the cash paid.
- Revaluation surplus
- Surplus = Fair value − Carrying amount before revaluation
- Carrying amount = cost − accumulated depreciation. Credit the revaluation surplus (OCI) if positive.
- Revaluation journal (increase, asset with accumulated depreciation)
- Dr Asset (cost) with the cost adjustment; Dr Accumulated depreciation (eliminate it); Cr Revaluation surplus
- A simple way: remove accumulated depreciation, restate the asset to fair value, and credit the difference to the surplus.
- Depreciation after revaluation
- Annual depreciation = Revalued amount ÷ Remaining useful life (straight-line, no residual value)
- Use the remaining life at the revaluation date, not the original total life.
- Annual transfer of excess depreciation
- Transfer = Depreciation on revalued amount − Depreciation on original cost
- Dr Revaluation surplus, Cr Retained earnings. Optional policy in IAS 16, shown in equity only.
- Surplus on disposal
- Profit or loss = Proceeds − Carrying amount; then transfer remaining surplus to retained earnings
- Use the revalued carrying amount. The transfer is within equity, not in profit or loss.
Quick revision
- Depreciable amount = cost − residual value.
- Straight-line charge = (cost − residual value) ÷ useful life.
- Reducing balance charge = rate × opening carrying amount; residual value is not deducted first.
- Carrying amount = cost − accumulated depreciation.
- Journal: Dr Depreciation expense, Cr Accumulated depreciation.
- Land is not normally depreciated; buildings are.
- A change in useful life is a change in estimate: apply it from now on, with no restating of past years.
- New carrying amount ÷ remaining life gives the revised annual charge.
- Profit or loss on disposal = proceeds − carrying amount at disposal.
- Charge depreciation up to the date of disposal if the company's policy says so.
- A revaluation gain goes to the revaluation surplus in other comprehensive income, not to profit.
- After revaluation, depreciate the new carrying amount over the remaining useful life.
Common mistakes
- Saying depreciation shows the asset's current market value. Fix: Remember that depreciation is cost allocation. Carrying amount can be far above or below market value.
- Deducting residual value from cost when asked for carrying amount at purchase. Fix: At purchase, carrying amount equals cost. Residual value only affects the amount to be depreciated.
- Deducting residual value before applying the reducing balance percentage Fix: Apply the rate to the carrying amount only. Residual value is not part of the calculation.
- Applying the reducing balance rate to original cost every year Fix: Use opening carrying amount: cost less accumulated depreciation to date.
- Crediting the asset cost account with the depreciation charge. Fix: Credit accumulated depreciation. Keep the cost account at original cost.
- Showing accumulated depreciation in the income statement. Fix: Only the year's expense goes in the income statement. The accumulated total goes in the statement of financial position.
- Charging a full year's depreciation when the policy is monthly. Fix: Circle the purchase and disposal dates and the policy sentence before calculating.
- Restating prior year depreciation after a change in useful life. Fix: A change in estimate is prospective under IAS 8. Only an error would restate prior periods.
- Using cost instead of carrying amount Fix: Always deduct accumulated depreciation first. Profit or loss is measured against carrying amount.
- Forgetting depreciation for the part year before disposal Fix: Check the policy. If depreciation is charged up to the disposal date, add the months held in the year of sale.
Exam tips
- Learn the five IAS 16 terms as precise definitions. Objective tests often use them as answer options.
- For depreciable amount, always subtract residual value. For carrying amount, always use accumulated depreciation.
- Watch for distractors in cost: training, general overheads and trade discounts are common traps.
- In concept questions, reject any option that says depreciation provides cash or measures market value.
- Write the figure you calculated beside the question so you can check it against the exact term requested.
- Look at the verb: charge for the year, accumulated depreciation and carrying amount are three different answers.
- In reducing balance questions, write the carrying amount each year in a small list. It stops base errors.
- In multiple response questions, check each statement against the rule: reducing balance gives higher early charges, straight-line gives equal charges.