Depreciation
- Straight-line
- (cost − salvage)/life
- Double-declining balance
- 2/life × book value at the start of the year
- Sum of the years’ digits
- (cost − salvage) × remaining life/SYD
- SYD
- n(n + 1)/2
- Book value
- cost − accumulated depreciation
Financial Accounting: cram pack
Formula sheets, the key method steps for every topic and 4 practice problems, with full solutions at the back.
1Formulas and methods
2Practice problems
1.Financial accountingMedium
Which depreciation method charges the same amount every year?
- AUnits of production
- BReducing balance
- CSum-of-the-years'-digits
- DStraight-line
2.Financial accountingHard
An investor holds 30% of a company's shares and has significant influence but not control. How is the investment usually accounted for in group accounts?
- ABy full consolidation as a subsidiary
- BAs a joint operation with line-by-line sharing
- CUsing the equity method as an associate
- DAt cost with no changes ever
3.DepreciationMedium
A delivery van costs €100 000, has a useful life of 8 years and a salvage value of €10 000. Using the double-declining-balance method (without switching to straight-line), find the depreciation charge D in year 5.
cost = €100 000life = 8salvage = €10 000year = 5
D = €
4.DepreciationHard
A delivery van costs €60 000, has a useful life of 4 years and a salvage value of €0. Using the sum-of-the-years’-digits method, find the depreciation charge D in year 2.
cost = €60 000life = 4salvage = €0year = 2
D = €
3Solutions
1.Financial accounting
Answer: D · Straight-line
Why this is the answer
Straight-line spreads the depreciable amount evenly. Reducing balance charges more in early years; units of production follows actual use.
Answer
D · Straight-line
2.Financial accounting
Answer: C · Using the equity method as an associate
Why this is the answer
Under IAS 28 the investment starts at cost and is adjusted for the investor's share of the associate's profits or losses, less dividends received.
Answer
C · Using the equity method as an associate
3.Depreciation
Answer: D = 7910 €
Depreciation spreads the cost of an asset over its useful life. Straight-line: (cost − salvage value)/life every year. Double-declining balance: 2/life times the book value at the start of each year, so the charge falls each year (salvage is not subtracted, but the book value never goes below it). Sum-of-the-years’-digits: (cost − salvage) × remaining life/(1 + 2 + … + n).
Rate
2/8 = 0.25
Year by year
year 1: 0.25·100 000.00 = €25 000.00
year 2: 0.25·75 000.00 = €18 750.00
year 3: 0.25·56 250.00 = €14 062.50
year 4: 0.25·42 187.50 = €10 546.88
year 5: 0.25·31 640.63 = €7 910.16
Answer
D = €7 910.16
4.Depreciation
Answer: D = 18000 €
Depreciation spreads the cost of an asset over its useful life. Straight-line: (cost − salvage value)/life every year. Double-declining balance: 2/life times the book value at the start of each year, so the charge falls each year (salvage is not subtracted, but the book value never goes below it). Sum-of-the-years’-digits: (cost − salvage) × remaining life/(1 + 2 + … + n).
Fraction for year 2
(4 − 2 + 1)/10 = 3/10
Depreciation
D = 60 000·3/10 = €18 000.00
Answer
D = €18 000.00
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