8.4 Partial-Year Depreciation & Fixed Asset Disposals

Partial-year depreciation on the books

Assets rarely arrive on 1 January. Bookkeepers prorate the book method the company already chose. That proration is a company convention, documented in the capitalization policy. It is not the IRS half-year, mid-quarter, or mid-month MACRS convention (Chapter 9), even when the two happen to produce a similar first-year fraction.

Common book conventions:

Harbor places the mixer in service 1 April Year 1 under the monthly convention:

Year 1 SL = 9/12 × $7,000 = $5,250
Years 2–6 if held full years: $7,000 each, until the last stub year or disposal.

If the same mixer uses DDB (section 8.3 used a different asset, but the rule is the same): compute a full-year DDB amount on beginning book value, then take the in-service fraction of that amount. Next calendar year’s beginning book value is cost minus what you actually recorded. Do not run a second “full DDB year” in December because the asset existed on 31 December.

UOP does not use months. If the press ran 3,000 units between April and December, UOP is 3,000 × the per-unit rate, whether those units occurred in three months or nine.

Nearest-month trap: in service 20 November, policy “full month if placed in service on or before the 15th.” November is skipped; December counts. Year 1 SL = 1/12 × $7,000 = $583.33. A candidate who takes $7,000 or a tax half-year $3,500 without a stated half-year book policy misses the item.

Partial-year SL snapshot for Harbor’s mixer (monthly, 1 April start)

Disposal sequence (memorize the order)

Selling, scrapping, or trading a depreciable asset is not “credit the asset for cash received.” Three beats:

1. Update depreciation from the last financial-statement date to the disposal date using the same book method and partial-year rule.
2. Remove the asset’s cost (credit the asset) and remove accumulated depreciation (debit the contra-asset), including the catch-up just recorded.
3. Record cash (or receivable) and plug gain or loss so the entry balances.
   Gain or loss = Proceeds − Book value after catch-up

Proceeds > book value → gain. Proceeds < book value → loss. Proceeds equal book value → neither.

Worked cash sale

Harbor’s mixer: cost $47,000, salvage $5,000, 6-year SL $7,000/year, in service 1 January Year 1 (this disposal example uses a 1 January start so the catch-up is a clean stub of Year 4). Sold 1 April Year 4 for $22,000 cash. Monthly convention.

Catch-up for January–March Year 4:

3/12 × $7,000 = $1,750
Dr Depreciation Expense 1,750
Cr Accumulated Depreciation—Equipment 1,750

Accumulated depreciation at disposal:

Book value = $47,000 − $22,750 = $24,250.
Cash $22,000.
Loss = $24,250 − $22,000 = $2,250.

Disposal entry:

Proof: $22,000 + $22,750 + $2,250 = $47,000. If the buyer had paid $28,000, book value is still $24,250 and the plug is a $3,750 gain (credit Gain on Disposal). Same skeleton; only cash and the plug change.

Scrap with no cash: proceeds $0, loss equals remaining book value. Debit Accumulated Depreciation, debit Loss, credit Equipment. Do not leave a fully used-up asset’s cost on the balance sheet after it is hauled away.

Fully depreciated but still used: after six SL years Harbor’s mixer sits at cost $47,000, accum $42,000, book value $5,000 salvage. No further SL until a revision. When it is finally sold for $4,200, catch-up is $0 if the life already ended; loss is $800. Cost and accum dep still must be cleared.

Trade-ins at a high level

A dealer’s trade-in allowance is a sales pitch, not a GAAP measurement. Under U.S. GAAP, an exchange with commercial substance (future cash flows change in a meaningful way) measures the new asset at fair value and recognizes the full gain or loss on the old asset, just as if it had been sold for that fair value and the cash boot paid separately.

Illustration: old mixer book value $24,250, cash boot $35,000, new line’s fair value $58,000. Implied fair value of the old mixer = $58,000 − $35,000 = $23,000. Loss = $24,250 − $23,000 = $1,250. New equipment is recorded at $58,000, not at “allowance plus cash” from the dealer sheet if that sheet disagrees with fair value.

Proof: $58,000 + $22,750 + $1,250 = $82,000 and $47,000 + $35,000 = $82,000.

If the exchange lacks commercial substance, losses are still recognized; gains are generally deferred by reducing the basis of the new asset (with a partial-gain exception when boot is received). CB items that mention trade-ins usually want: remove old cost and accum dep, record cash paid, record the new asset, and do not treat a dealer allowance as automatic gain. When fair values are given, use them.

Financial-statement and control notes

Gains and losses on PPE disposal are typically other income/expense, not sales revenue and not a reduction of Depreciation Expense. On the cash-flow statement the proceeds are investing inflows; the gain or loss is pulled out of operating income so cash is not double-counted.

Controls that belong next to the journal entry: update the fixed-asset subledger the same day, remove the asset tag from the floor listing, and stop running depreciation in the following month. A sold van that still takes $583 of monthly SL will overstate expense and leave a ghost asset in the schedule.

Traps

• Removing cost and accum dep before the stub-period depreciation, so book value and gain/loss are wrong by that stub
• Crediting Equipment for cash received instead of for original cost
• Forgetting to debit Accumulated Depreciation, which writes the entire cost (not book value) into the loss
• Using MACRS half-year in a GAAP monthly-convention problem
• Calling a trade-in allowance “proceeds” when the problem gives a fair value of the asset given up