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ACCA Applied Knowledge · Financial Accounting

Depreciation: formula sheet

Full chapter guide

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.