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Lesson 7 of 9Accounting for Assets
Unit 2 · Lesson 7 of 9

Amortization Methods

Straight-line spreads an asset's depreciable amount evenly, declining-balance charges more in early years at a fixed rate on book value, and units-of-output follows actual use; all three expense the same total but change each year's net income and book value.

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Key things to remember

  1. 1Depreciable amount ; Book value
  2. 2Straight-line: every year.
  3. 3Declining-balance: ; residual is ignored until the final charge, which stops book value exactly at residual.
  4. 4Units-of-output:
  5. 5Partial year: full-year amount , to the nearest month (on or before the 15th counts the month).
  6. 6Entry for every method: debit Amortization Expense, credit Accumulated Amortization (a contra asset).

Lakeshore Print's new delivery van cost $60,000. In five years the business expects to sell it for about $6,000. So over its life the van will use up $54,000 of value, and the matching principle says that $54,000 should become expense across the five years the van helps earn revenue. The question this lesson answers is how much to expense each year. Should every year get the same amount? Should the early years, when the van is new and busiest, get more? Or should it depend on how far the van is actually driven? Each answer is a different amortization method, and each is acceptable when it reflects how the asset is really used up.

Same idea you met in Grade 11
Amortization in this unit is what you called depreciation in Grade 11 (ASPE uses amortization; IFRS says depreciation for equipment). Amortization is an allocation of cost, not a measure of market value, and it uses no cash.

The language of amortization

  • Cost: everything paid to get the asset ready for use (from the previous lesson).
  • Residual value (salvage value): what the business expects to get for the asset at the end of its useful life.
  • Useful life: how long the business expects to use the asset, in years or in units (kilometres, machine hours, units produced).
  • Depreciable amount : the total that will be amortized over the asset's life.
  • Accumulated Amortization: a contra-asset account that collects all the amortization recorded so far. It has a credit balance and is subtracted from the asset's cost.
  • Book value (carrying amount)
DateAccountDebitCredit
Dec. 31, 2026Amortization Expense — Vehicles$10,800
Accumulated Amortization — Vehicles$10,800
To record amortization on the delivery van for 2026
The adjusting entry is the same for every method. Only the amount changes.

Three methods, one delivery van

The van was bought Jan. 2, 2026: cost $60,000, residual value $6,000, useful life 5 years or 150,000 km. Straight-line charges the same amount every year. Declining-balance multiplies the book value at the start of each year by a fixed rate, so the charge shrinks each year as book value falls. Lakeshore uses double the straight-line rate: (this version is called double-declining-balance). Units-of-output (units-of-production) charges a set amount for each kilometre driven.

YearStraight-lineDeclining-balance (40%)Units-of-output (km driven)
2026$10,800$24,000$14,400 (40,000 km)
2027$10,800$14,400$12,600 (35,000 km)
2028$10,800$8,640$10,800 (30,000 km)
2029$10,800$5,184$9,000 (25,000 km)
2030$10,800$1,776$7,200 (20,000 km)
Total$54,000$54,000$54,000 (150,000 km)
Each method expenses the same $54,000 in total, but in a different pattern.
The declining-balance floor
Declining-balance ignores residual value when calculating each year's amount: it is always opening book value times the rate. But book value can never fall below residual value. In 2030 the van opens at $7,776; 40% of that is $3,110.40, which would leave only $4,665.60. So 2030 amortization is limited to $7,776 − $6,000 = $1,776, and book value stops at exactly $6,000.
Book value$0$10 000$20 000$30 000$40 000$50 000012345End of yearresidual value $5 000Straight-line ($9 000 a year)Double-declining balance (40%)Units of output ($0.45 a unit)End of year012345Straight-line50 00041 00032 00023 00014 0005 000Declining (40%)50 00030 00018 00010 8006 4805 000Units of output50 00036 50025 25016 2509 5005 000Cost $50 000, residual $5 000, 5-year life, 100 000 units of output used 30 000, 25 000,20 000, 15 000, 10 000. Year 5 declining-balance amortization is limited to $1 480 so bookvalue stops at residual value.
Fig 1Book value of the van under each method: straight-line falls in a straight line, declining-balance falls steeply then flattens, and all three land on the $6,000 residual.
Loading interactive…
Change the cost, residual value, life and method, then watch the schedule rebuild and the book-value line change shape. Try a high declining-balance rate to see the residual floor kick in.
VideoCalculates straight-line, units-of-activity and declining-balance on one asset; he says depreciation, which is the same process this course calls amortization.Watch on YouTube

Partial years: amortizing to the nearest month

Assets are rarely bought on the first day of the fiscal year. To match the expense to the months the asset was actually used, the first year's amortization is pro-rated to the nearest whole month. A common rule: an asset bought on or before the 15th of a month counts that whole month; one bought after the 15th starts the next month. The same idea applies in the year an asset is sold. Units-of-output needs no adjustment, because it already uses the actual units for the period. For declining-balance, only the first year is pro-rated: from the second year on, take the full rate times the opening book value, which already reflects the smaller first-year charge.

Comparing the methods on the financial statements

2026 resultStraight-lineDeclining-balanceUnits-of-output
Amortization expense$10,800$24,000$14,400
Net income$69,200$56,000$65,600
Book value of van, Dec. 31$49,200$36,000$45,600
Income before amortization is $80,000 under every method. Same van, same cash, same five-year total, but very different first-year results.
  • Declining-balance gives the highest expense, lowest net income and lowest book value in the early years, and the reverse in later years. It suits assets that are most productive when new or lose value quickly (vehicles, computers).
  • Straight-line gives steady expense and net income every year. It suits assets used evenly over time (buildings, furniture). It is the simplest and the most common.
  • Units-of-output makes expense rise and fall with activity. It suits assets whose wear depends on use (vehicles by kilometre, machines by hours).
  • Over the whole life, every method expenses the same depreciable amount, and none of them changes cash. Amortization is a non-cash expense.
  • Standards require the method to reflect the pattern in which the asset's benefits are used up, and the consistency principle requires sticking with that method from year to year so statements can be compared.
  • For income tax, the CRA uses its own separate system called capital cost allowance (CCA). The amortization in the financial statements does not have to match it.
yearsbook valuestraight-linedeclining-balanceYear-by-year expense (cost $5 000, salvage $500, life 5 yrs, rate 40%)Yr 1SL: 900Yr 2SL: 900Yr 3SL: 900Yr 4SL: 900Yr 5SL: 900
Fig 2Straight-line versus declining-balance: yearly expense and book value side by side.

Worked examples

Reveal one step at a time and try to beat it to the next line.

Example 1
Prepare the straight-line amortization schedule for Lakeshore Print's van (cost $60,000, residual $6,000, 5-year life, bought Jan. 2, 2026) and record the 2026 entry.
Example 2
Prepare the declining-balance schedule for the same van at a fixed rate of 40%.
Example 3
Use units-of-output for the same van (150,000 km life). It is driven 40,000 km in 2026, 35,000 in 2027, 30,000 in 2028, 25,000 in 2029 and 20,000 in 2030. Prepare the schedule.
Example 4
On Sept. 1, 2026, Lakeshore Print buys a binding machine for $84,000 with a residual value of $12,000 and an 8-year life. Year-end is Dec. 31. Find amortization for 2026 and 2027 under (a) straight-line and (b) declining-balance at 25%.

Where marks get lost

  • Subtracting residual value before applying the declining-balance rate. Declining-balance uses the full book value; residual matters only as the floor.
  • Letting declining-balance book value drop below residual in the final year instead of limiting the last charge.
  • Using cost instead of opening book value for declining-balance in year 2 and later, which turns it into a straight-line method at a high rate.
  • Forgetting to pro-rate the first year when an asset is bought partway through the year, or pro-rating the second year of declining-balance as well.
  • Crediting the asset account (Vehicles) for amortization. The credit goes to Accumulated Amortization so the original cost stays visible.

Flashcards 8

Depreciable amount
Book value (carrying amount)
Accumulated Amortization
Straight-line formula
+ 4 more

Practice

1
Equipment costs $45,000, has a residual value of $5,000 and an 8-year useful life. What is annual straight-line amortization, to the nearest dollar?
$
2
A machine costs $30,000 and is amortized by declining-balance at 30%. What is the amortization for year 2, to the nearest dollar?
$
3
A machine costs $128,000, has a residual value of $8,000 and is expected to produce 400,000 units. This year it produced 55,000 units. Using units-of-output, what is this year's amortization, to the nearest dollar?
$
4
Equipment bought May 1, 2026 costs $26,000, has a residual value of $2,000 and a 5-year life. Year-end is Dec. 31. What is straight-line amortization for 2026, to the nearest dollar?
$
5
Lakeshore Print's van (cost $60,000, residual $6,000, 5 years, straight-line, bought Jan. 2, 2026). What is its book value on Dec. 31, 2028, to the nearest dollar?
$
6
Under declining-balance at 40%, an asset with a $6,000 residual value begins its final year with a book value of $7,776. What is that year's amortization?
7
Compared with straight-line, what does declining-balance do to net income and book value in an asset's first year?
8
How does recording $10,800 of amortization affect the business's cash?
9
Match each method or rule to its calculation.
Straight-line
Declining-balance
Units-of-output
Partial year
10
What is the name of the contra-asset account credited when amortization is recorded on equipment?
11
Put the steps for one year of declining-balance amortization in order.
  1. 1Record Amortization Expense and Accumulated Amortization
  2. 2Check that the new book value does not fall below residual value
  3. 3Pro-rate by months used if it is the first, partial year
  4. 4Start with the book value at the beginning of the year
  5. 5Multiply by the fixed rate

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