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
A machine costs €10,000 and is depreciated at 20% a year on the reducing balance. What is the depreciation charge in year 2?
- A€1,800
- B€1,600
- C€4,000
- D€2,000
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?
- AAs a joint operation with line-by-line sharing
- BUsing the equity method as an associate
- CBy full consolidation as a subsidiary
- DAt cost with no changes ever
3.DepreciationMedium
A computer system costs €50 000, has a useful life of 6 years and a salvage value of €7 500. Using the double-declining-balance method (without switching to straight-line), find the depreciation charge D in year 4.
cost = €50 000life = 6salvage = €7 500year = 4
D = €
4.DepreciationHard
A delivery van costs €120 000, has a useful life of 10 years and a salvage value of €6 000. Using the sum-of-the-years’-digits method, find the depreciation charge D in year 2.
cost = €120 000life = 10salvage = €6 000year = 2
D = €
3Solutions
1.Financial accounting
Answer: B · €1,600
Why this is the answer
Year 1: 20% × €10,000 = €2,000, leaving €8,000. Year 2: 20% × €8,000 = €1,600. Reducing balance charges less each year.
Answer
B · €1,600
2.Financial accounting
Answer: B · 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
B · Using the equity method as an associate
3.Depreciation
Answer: D = 4938 €
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
2/6 = 0.3333
Year by year
year 1: 0.3333·50 000.00 = €16 666.67
year 2: 0.3333·33 333.33 = €11 111.11
year 3: 0.3333·22 222.22 = €7 407.41
year 4: 0.3333·14 814.81 = €4 938.27
Answer
D = €4 938.27
4.Depreciation
Answer: D = 18655 €
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
(10 − 2 + 1)/55 = 9/55
Depreciation
D = 114 000·9/55 = €18 654.55
Answer
D = €18 654.55
ExamProblems · examproblems.com/courses/financial-accounting