Depreciation (Cambridge (CIE) O Level Accounting)

Revision Note

Dan Finlay

Written by: Dan Finlay

Reviewed by: Lucy Kirkham

Introduction to Depreciation

What is depreciation?

  • Depreciation is applied to non-current assets to represent the reduction in their value

  • Depreciation is the financial measure of how the value of an asset decreases over time

  • The value of a non-current asset depreciates due to:

    • Wear and tear of the asset

    • The asset becoming outdated or obsolete

    • The reduction in the expected useful lifetime of the asset

    • The asset being used up or depleted

  • Depreciation is an expense that accounts for the estimated loss in value of an asset during a given period

    • It is an expense that does not involve spending money

  • It is used to spread the cost of the assets over their expected useful life

  • You need to know three methods to calculate depreciation

    • Straight-line method

    • Reducing balance method

    • Revaluation method

  • The accounting principle of consistency states that when a business chooses a method of depreciation for a type of non-current asset, it must use that method each year unless there is a valid reason to change to a different method

    • Different methods can be used for different types of non-current assets

Why are non-current assets depreciated?

  • Depreciation is used so that the business adheres to the following accounting principles:

  • Matching

    • The capital expenditure of a non-current asset is matched against the income that it has contributed to

      • Suppose that a business buys a vehicle for $30 000 and expects it to be useful for 8 years

      • The full $30 000 should not be charged as an expense straightaway

      • Instead, the expense should be spread out over the 8 years that it is contributing to income

  • Prudence

    • The value of the assets should not be overstated

      • Depreciation allows the business to report a more realistic estimation for the valuation of its assets

Is depreciation charged in the years of purchase and sale?

  • Different businesses will have different policies for dealing with depreciation for the year in which the asset is purchased and the year in which the asset is sold or disposed of

  • The business could:

    • Charge a full year’s worth of depreciation

    • Charge no depreciation

    • Charge a proportion of the full year’s worth of depreciation

  • The exam question will specify which rules should be used

Straight-Line Depreciation

What is the straight-line method of depreciation?

  • The straight-line method of depreciation assumes that a non-current asset loses value at a constant rate over its useful life

    • This means that the expense for its depreciation is the same each year

    • The net book value can reach $0

      • This is when the asset is fully depreciated

  • You could be given the depreciation rate as a percentage of its original value

    • E.g. depreciation could be charged at 20% of its original cost

  • Or you could be expected to calculate the depreciation using:

    • The number of years that the non-current asset will be used

    • The expected value of the non-current asset at the end of its working life

      • This value could be $0

      • The expected value is also called the residual value

  • This method is usually used when the asset will be equally valuable for each year of its use

    • For example, fixtures and fittings, equipment, etc

Straight-line graph showing the value of an asset when depreciation is charged using the straight-line method
Example of an asset which cost $20 000, being charged depreciation at 15% per annum using the straight-line method

How do I calculate depreciation using the straight-line method?

  • If you are given the percentage for the depreciation

    • Find the percentage of the original amount

    • This will be the yearly depreciation charge

  • If you are not given the percentage

    • Calculate the expected loss in value during the expected life of the non-current asset

      • The original value minus the expected value at the end of its life

    • Divide the loss by the number of years it will be used

    • This will be the yearly depreciation charge

Depreciation equals fraction numerator original space value minus expected space value over denominator number space of space years end fraction

Examiner Tips and Tricks

The straight-line method is similar to simple interest calculations used in maths.

Worked Example

Abi purchases machinery for $18 000. Machinery is depreciated at 15% per annum using the straight-line method.

Calculate the net book value of the machinery after 3 years.

Answer

  • Calculate the yearly expense due to depreciation

    • 15% ✕ $18 000 = $2 700

  • Calculate the total depreciation after 3 years

    • 3 ✕ $2 700 = $8 100

  • Subtract the depreciation from the original value

    • $18 000 - $8 100 = $9 900

Worked Example

Taiki purchases a vehicle for $30 000. He expects to use the vehicle for 3 years, after which he estimates that it will have a value of $12 000.

Calculate the yearly expense due to the depreciation of the vehicle.

Answer

  • Calculate the loss in value over the 3 years

    • $30 000 - $12 000 = $18 000

  • Divide this by the number of years

    • $18 000 ÷ 3 = $6 000

Reducing Balance Depreciation

What is the reducing balance method of depreciation?

  • The reducing balance method of depreciation assumes that the non-current asset loses value at a rate proportional to its current value

    • This means that the expense for its depreciation gets smaller each year as the current value decreases

  • You will be told the percentage of the current value to use for depreciation

  • This method is usually used when a non-current asset initially loses value at a fast rate

An exponential graph showing the value of an asset when depreciation is charged using the reducing balance method
Example of an asset, which cost $20 000, being charged depreciation at 30% per annum using the reducing balance method

How do I calculate depreciation using the reducing balance method?

  • Find the percentage of the current net book value

    • This will be the depreciation charge for that year

  • If you need to calculate the depreciation for multiple years, then calculate one year at a time

    • Find the depreciation charge for one year using the net book value at that start of the year

    • Subtract this amount from the net book value at the start of the year to find the new net book value

    • Find the depreciation charge for the next year using the net book value at the start of that year

    • Continue this process

  • If you just need to find the current net book value then you can use some maths skills

    • Subtract the percentage from 100%

    • Write this as a decimal

    • Raise this to the power of the number of years

    • Multiply this by the original value

Examiner Tips and Tricks

The reducing balance method is similar to compound interest calculations used in maths.

Amounts should always be given to the nearest dollar in exams.

Worked Example

Abi purchases a vehicle for $16 000. Machinery is depreciated at 25% per annum using the reducing balance method.

Calculate the net book value of the machinery after 3 years.

Answer

Find the depreciation charged in each year by finding the percentage of the net book value at that time.
Subtract that year’s depreciation from the net book value to find the net book value at the end of the year.

End of year

Depreciation charge

Net book value

0

-

$16 000

1

25% ✕ $16 000 = $4 000

$16 000 - $4 000 = $12 000

2

25% ✕ $12 000 = $3 000

$12 000 - $3 000 = $9 000

3

25% ✕ $9 000 = $2 250

$9 000 - $2 250 = $6 750

Alternatively:

  • Subtract the percentage from 100%

    • 100% - 25% = 75%

  • Write this as a decimal

    • 75% = 0.75

  • Raise this to the power of the number of years

    • 0.753

  • Multiply this by the original value

    • $16 000 ✕ 0.753 = $6 750

Revaluation Depreciation

What is the revaluation method of depreciation?

  • The revaluation method of depreciation involves performing a valuation of assets at the end of the financial year to determine the reduction in value

  • This method is commonly used for assets of smaller value

    • Such as loose tools, packing cases

A line graph showing the value of an asset which is being charged depreciation using the revaluation method
Example of an asset, which cost $20 000, being charged depreciation using the revaluation method each year

How do I calculate depreciation using the revaluation method?

  • A revaluation of the non-current asset will be given in the question

  • You need to identify two numbers:

    • The net book value before the revaluation

    • The net book value after the revaluation

  • The depreciation charge is the value before minus the value after

Worked Example

Abi purchased fixtures and fittings for $5 000 on 1 March 2023. On 29 February 2024, at the end of the financial year, the fixtures and fittings were valued at $3 650.

Calculate the depreciation charged for the financial year ending on 29 February 2024.

Answer

  • Value before the revaluation is $5 000

  • Value after the revaluation is $3 650

  • Calculate the difference

    • $5 000 - $3 650 = $1 350

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Dan Finlay

Author: Dan Finlay

Expertise: Maths Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.

Lucy Kirkham

Author: Lucy Kirkham

Expertise: Head of STEM

Lucy has been a passionate Maths teacher for over 12 years, teaching maths across the UK and abroad helping to engage, interest and develop confidence in the subject at all levels.Working as a Head of Department and then Director of Maths, Lucy has advised schools and academy trusts in both Scotland and the East Midlands, where her role was to support and coach teachers to improve Maths teaching for all.