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Depreciation

CIMA Free Mock Exam
CIMA-BA3 · Chapter 5
  1. Depreciation

A non-current asset is used up over several years, so its cost is spread over its useful life as an annual depreciation expense, and its carrying amount in the statement of financial position falls each year. This chapter covers the two methods you must know (straight line and reducing balance), the double entry, the disposal of an asset (with its profit or loss on sale), the revaluation of an asset and the depreciation that follows, and the non-current asset register. Chapter 6 adds what IAS 16 says about cost, revaluation and impairment.

1 Introduction

In this chapter we will explain what depreciation is and why it is needed. We will also look at the different methods of calculating depreciation of which you need to be aware, and the accounting entries.

There are five lectures for this chapter. The first introduces depreciation and the difference between the cost of an asset and its running costs; the other four work Examples 1 to 4 in turn. Revaluation (section 7 and Example 5) is worked in the Chapter 16 lectures on limited companies. The tutor uses older names such as “carrying value”; the current term, used on this page, is carrying amount — they mean the same thing. He also says “pounds” in places where the page uses dollars.

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2 Non-current assets

A non-current asset is an asset intended for use on a continuing basis in the business.

A tangible non-current asset is one that can be touched and refers to such items as plant, buildings and motor vehicles.

An intangible non-current asset is one that cannot be touched and refers to such items as goodwill and patents (we will cover these in a later chapter).

The cost of a non-current asset is everything spent to get it to where it will be used and working — for example the purchase price, delivery and installation. Running costs such as a service contract or repairs are revenue expenditure and are charged as expenses. Chapter 6 sets out the IAS 16 rules.

3 Depreciation

Depreciation is the charging of the cost of a non-current asset over its useful life.

IAS 16 describes depreciation as the systematic allocation of the depreciable amount of an asset over its useful life. The depreciable amount is the cost (or revalued amount) less the residual value — the amount the business expects to get for the asset at the end of its useful life. The useful life is the period over which the business expects to use the asset. Both are estimates.

The purchase of a car for $10,000 is an expense of running the business just as electricity is an expense. However, if the car is expected to last 5 years, it would be misleading to have one expense in the Statement of Profit or Loss of $10,000 every 5 years and nothing in the other years. It would be more sensible to reflect the fact that the car is being used in the business over 5 years by charging an expense each year of (say) $2,000.

The charge of $2,000 in the Statement of Profit or Loss each year is known as depreciation. At the same time, the Statement of Financial Position value of the car will be reduced by $2,000 each year to reflect the fact that it is being used up.

The way in which $2,000 was calculated in the above illustration is known as the straight-line method of depreciation. There are other methods and we will cover the methods that you need to know in the following sections of this chapter.

The purpose of depreciation is not to place a true value on the asset in the Statement of Financial Position. It is a method of applying the accruals, or matching, concept by charging the cost of the asset to the Statement of Profit or Loss as it is being used up.

The cost of the asset less its accumulated depreciation is its carrying amount (older books use other names for it, such as written down value).

4 Methods of calculating depreciation

There are several methods of calculating depreciation. The methods that you are expected to be aware of are the following:

  • straight line method

  • reducing balance method

These are the most common methods in practice.

4.1 Straight line method

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Under this approach we charge an equal amount of depreciation each year.

The depreciation charge each year is calculated as:

Annual depreciation = (original cost – residual value) ÷ estimated useful life

The rate is sometimes given as a percentage of cost instead: 20% straight line is the same as a five-year life with no residual value. Do not confuse a straight-line percentage (always applied to cost) with a reducing-balance percentage.

Sarkans has a year end of 31 December each year.

On 1 April 2002 he purchases a car for $12,000. The car is expected to last for 5 years and to have a scrap value at the end of 5 years of $2,000.

You are required to calculate the depreciation charge for each of the first three accounting periods, and to show extracts from the Statement of Financial Position and Statement of Profit or Loss for each of the three accounting periods.

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Annual depreciation = ($12,000 – $2,000) ÷ 5 = $2,000 a year.

2002: the car was owned for 9 months (April to December), so 9/12 × $2,000 = $1,500. 2003: $2,000. 2004: $2,000.

31.12.2002 $

31.12.2003 $

31.12.2004 $

Statement of Profit or Loss

Depreciation

1,500

2,000

2,000

Statement of Financial Position

Cost

12,000

12,000

12,000

Less: accumulated depreciation

(1,500)

(3,500)

(5,500)

Carrying amount

10,500

8,500

6,500

(Note, in the first accounting period we have charged a fraction of the annual depreciation because the asset was purchased during the year. A very common alternative in practice is to charge a full year in the year of purchase, regardless of when in the year it was actually purchased. In the examination, read the question carefully. If you are told to charge a full year in the year of purchase then do so. If you are not told, then charge a fraction (or time-apportion) as above.)

4.2 Reducing balance method

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Under this approach we charge more depreciation in the early years of an asset’s life, with a progressively lower charge in each subsequent year.

The depreciation charge each year is a fixed percentage of the carrying amount at the end of the previous year.

Annual depreciation = rate % × carrying amount brought forward (cost – accumulated depreciation)

Zils has a year end of 31 December each year.

On 5 April 2002 he purchased a machine for $15,000.

His depreciation policy is to charge 20% reducing balance, with a full year’s charge in the year of purchase.

You are required to calculate the depreciation charge for each of the first three accounting periods, and to show extracts from the Statement of Financial Position and Statement of Profit or Loss for each of the three accounting periods.

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$

Cost

15,000

2002 depreciation (20% × 15,000)

(3,000)

Carrying amount at 31.12.2002

12,000

2003 depreciation (20% × 12,000)

(2,400)

Carrying amount at 31.12.2003

9,600

2004 depreciation (20% × 9,600)

(1,920)

Carrying amount at 31.12.2004

7,680

31.12.2002 $

31.12.2003 $

31.12.2004 $

Statement of Profit or Loss

Depreciation

3,000

2,400

1,920

Statement of Financial Position

Cost

15,000

15,000

15,000

Less: accumulated depreciation

(3,000)

(5,400)

(7,320)

Carrying amount

12,000

9,600

7,680

A full year is charged in 2002 because that is Zils’s policy, even though the machine was bought in April.

5 Accounting for depreciation

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Whichever method is used, the accounting entries are the same.

We will illustrate the required entries using an example, and will then summarise the entries afterwards.

Melns has a year end of 30 June each year.

On 1 January 2002 he purchased a car for $15,000.

The car has an expected life of 5 years, with an estimated scrap value of $1,000.

Melns’s depreciation policy is to use straight line depreciation.

Show the accounting entries for the first three accounting periods.

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Annual depreciation = ($15,000 – $1,000) ÷ 5 = $2,800. Year to 30 June 2002: 6/12 × $2,800 = $1,400 (the car was owned from January). Years to 30 June 2003 and 2004: $2,800 each.

Debit

Car

Credit

Cash (1.1.2002)

15,000

Debit

Accumulated depreciation – year to 30.6.2002

Credit

Depreciation expense

1,400

Debit

Accumulated depreciation – year to 30.6.2003

Credit

Balance

4,200

Balance

1,400

Depreciation expense

2,800

4,200

4,200

Balance

4,200

Debit

Accumulated depreciation – year to 30.6.2004

Credit

Balance

7,000

Balance

4,200

Depreciation expense

2,800

7,000

7,000

Balance

7,000

Debit

Depreciation expense

Credit

30.6.2002 Accumulated depreciation

1,400

30.6.2002 Statement of profit or loss

1,400

30.6.2003 Accumulated depreciation

2,800

30.6.2003 Statement of profit or loss

2,800

30.6.2004 Accumulated depreciation

2,800

30.6.2004 Statement of profit or loss

2,800

Each year the expense account is cleared to the statement of profit or loss, while the accumulated depreciation keeps growing. At 30 June 2004 the car is shown at cost $15,000 less accumulated depreciation $7,000 = carrying amount $8,000.

The accounting entry for charging depreciation each year is:

Account

Debit

Depreciation Expense account

Credit

Accumulated Depreciation account

The balance on the Depreciation Account will appear in the Statement of Profit or Loss as an expense.

The balance on the Accumulated Depreciation account will appear in the Statement of Financial Position as a deduction from the cost of the asset.

6 Sale of non-current assets

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In practice it is unlikely that an asset will be kept for the precise useful life that was estimated for depreciation purposes – it might be kept for a longer period or for a shorter period. It is also extremely unlikely that any sale proceeds will exactly equal the value of the asset as shown in the financial statements.

On sale, we remove the asset from our books and calculate any difference between the proceeds and the carrying amount. This difference (which is really the effective over or under charge of depreciation) is called the profit or loss on sale and is shown in the Statement of Profit or Loss.

In Example 3, Melns sells the car on 30 September 2004 for $6,500.

Write up the ledger accounts for his fourth accounting period and show extracts from his Statement of Financial Position and Statement of Profit or Loss.

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The fourth accounting period is the year to 30 June 2005. Depreciation for July to September 2004: 3/12 × $2,800 = $700. Accumulated depreciation at the date of sale = $7,000 + $700 = $7,700, so the carrying amount is $15,000 – $7,700 = $7,300. Proceeds of $6,500 are $800 less than that: a loss on sale of $800.

Debit

Car

Credit

Balance

15,000

Disposal

15,000

15,000

15,000

Debit

Accumulated depreciation

Credit

Disposal

7,700

Balance

7,000

Depreciation expense (3/12 × 2,800)

700

7,700

7,700

Debit

Depreciation expense

Credit

Accumulated depreciation

700

Statement of profit or loss

700

700

700

Debit

Disposal

Credit

Car

15,000

Accumulated depreciation

7,700

Cash

6,500

Statement of profit or loss (loss on sale)

800

15,000

15,000

$

Statement of Profit or Loss (year to 30 June 2005)

Depreciation

700

Loss on sale of car

800

Statement of Financial Position (at 30 June 2005)

Car – sold during the year, so no cost or accumulated depreciation remains

nil

(With a policy of no depreciation in the year of sale, the depreciation would be nil and the loss $1,500 – the total charged to profit is $1,500 either way.)

Note that in this example we have charged depreciation in the year of sale for the 3 months the car was owned. Very often you will be told that the depreciation policy is to charge no depreciation in the year of sale. The net result in the Statement of Profit or Loss will be exactly the same.

Summary of the accounting entries for the sale of a non-current asset:

Entry

Debit

Credit

With the cost of the asset sold

Disposal account

Asset account

With the accumulated depreciation on the asset sold

Accumulated depreciation account

Disposal account

With the proceeds of sale

Cash (or receivables)

Disposal account

The balance remaining on the Disposal Account is the profit or loss on sale. This should be transferred to the Statement of Profit or Loss.

Part exchange. When an old asset is traded in against a new one, the trade-in (part-exchange) allowance is treated as the sale proceeds of the old asset: Dr New asset account, Cr Disposal account with the allowance. The new asset’s cost is the allowance plus the cash paid. For example, an old machine costing $40,000 with accumulated depreciation of $31,000 (carrying amount $9,000) traded in for an allowance of $12,000 gives a profit on disposal of $3,000.

7 Revaluation of non-current assets

During a period of high inflation, the value of non-current assets may be well in excess of their carrying amount.

In this situation a company may choose to show the current worth of such assets on their Statement of Financial Position.

Any profit resulting from such revaluation is an unrealised profit (in that the asset has not been sold and therefore no real profit has actually been made). As a result, the profit is shown separately from the Statement of Profit or Loss in a revaluation reserve. (For a limited company this must be the case. For a sole trader, where the owner has unlimited liability, this is not a rule even though it is good practice.)

Under IAS 16 the gain on revaluation (the revaluation surplus) is reported as other comprehensive income, not as profit, and is accumulated in equity in a revaluation surplus (revaluation reserve). The entries are: remove the accumulated depreciation to date (Dr Accumulated depreciation, Cr Revaluation surplus), then adjust the asset account from cost to the valuation (Dr or Cr Asset, with the other side to the Revaluation surplus). A fall in value is dealt with in Chapter 6.

IAS 16 Property, Plant and Equipment requires that when an item of property, plant or equipment is revalued, then the entire class of property, plant and equipment to which the asset belongs must be revalued.

When a non-current asset has been revalued, the future charge for depreciation should be based on the revalued amount and the remaining economic life of the asset.

The depreciation charge will then usually be higher than it was before the revaluation. IAS 16 allows (but does not require) the excess of the new charge over the charge based on original cost to be transferred each year from the revaluation surplus to retained earnings (accumulated profits): Dr Revaluation surplus, Cr Retained earnings. This transfer does not go through the statement of profit or loss. It is common practice, and this chapter makes it.

Purpurs has a year end of 31 December each year.

In his Statement of Financial Position as at 31 December 2002 he has buildings at a cost of $3,600,000 and accumulated depreciation of $1,080,000.

His depreciation policy is to charge 2% straight line.

On 30 June 2003, the building is to be revalued at $3,072,000. There is no change in the remaining estimated useful life of the building.

Show the relevant ledger accounts for the year to 31 December 2003.

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Workings

(W1) Depreciation 1 January to 30 June 2003 (on cost) = 6/12 × 2% × $3,600,000 = $36,000.

Accumulated depreciation at 30 June 2003 = $1,080,000 + $36,000 = $1,116,000. Carrying amount = $3,600,000 – $1,116,000 = $2,484,000.

Revaluation surplus = $3,072,000 – $2,484,000 = $588,000.

Remaining life: at 2% a year the building’s total life is 100 ÷ 2 = 50 years. The depreciation so far is $1,116,000 ÷ $72,000 a year = 15.5 years, so 50 – 15.5 = 34.5 years remain.

(W2) Depreciation 1 July to 31 December 2003 (on the valuation) = 6/12 × $3,072,000 ÷ 34.5 = $44,522 (to the nearest dollar). Total depreciation expense for 2003 = $36,000 + $44,522 = $80,522.

(W3) Excess depreciation transferred to retained earnings = $44,522 – 6/12 × $72,000 = $44,522 – $36,000 = $8,522 (equivalently 6/12 × $588,000 ÷ 34.5).

Debit

Buildings

Credit

Balance

3,600,000

Revaluation surplus

528,000

Balance

3,072,000

3,600,000

3,600,000

Balance (valuation)

3,072,000

Debit

Accumulated depreciation – buildings

Credit

30.6.2003 Revaluation surplus

1,116,000

1.1.2003 Balance

1,080,000

30.6.2003 Depreciation expense (W1)

36,000

1,116,000

1,116,000

31.12.2003 Depreciation expense (W2)

44,522

The accumulated depreciation is cleared to nil on revaluation; the credit balance at 31 December 2003 is the $44,522 charged since.

Debit

Depreciation expense

Credit

Accumulated depreciation (W1)

36,000

Statement of profit or loss

80,522

Accumulated depreciation (W2)

44,522

80,522

80,522

Debit

Revaluation surplus

Credit

Buildings

528,000

Accumulated depreciation

1,116,000

Retained earnings (W3)

8,522

Balance

579,478

1,116,000

1,116,000

Balance

579,478

Debit

Retained earnings (extract)

Credit

Revaluation surplus (W3)

8,522

At 31 December 2003 the building is shown at its valuation of $3,072,000 less accumulated depreciation of $44,522 = carrying amount $3,027,478, and the revaluation surplus in equity is $588,000 – $8,522 = $579,478. The $588,000 gain is other comprehensive income for 2003; it is not in the profit for the year.

8 The non-current assets register

In its nominal ledger, a business will typically have accounts for the cost of each class of non-current asset e.g. buildings, plant and machinery. There will also be accounts for the accumulated depreciation for each class of non-current asset.

Every time a new item is bought, its cost will be debited to the appropriate cost account. The cost accounts therefore keep track of the total cost of each type of non-current asset and similarly the accumulated depreciation accounts keep track of the total accumulated depreciation for each type of asset.

However, more detailed information is also required. For example, when an asset is sold its depreciation to date has to be transferred to the disposals account, so records are needed of how much depreciation attaches to each individual asset. Similarly, if we are using straight-line depreciation and an asset is fully written down to a carrying amount of zero, no more depreciation should be applied to it.

The more detailed information needed is recorded in a non-current asset register; this is a memorandum record and is not part of the double-entry system.

The non-current assets register has a page for each non-current asset.

Typically it will list out:

Information

Reason for the information

Cost

Basic accounting information. Needed for depreciation calculations and on the disposal of the asset. The sum of the costs of the assets should agree to the amount in the cost account in the nominal ledger.

Date purchased

Might be needed for depreciation calculations or the identification of old assets.

Accumulated depreciation

Basic accounting information. Needed for depreciation calculations and on the disposal of the asset. The sum of the accumulated depreciation of the assets should agree to the amount in the accumulated depreciation account in the nominal ledger.

Depreciation method

Needed for depreciation calculations.

Estimated useful life (or depreciation rate)

Needed for depreciation calculations.

Estimated residual value

Needed for depreciation calculations if using straight-line depreciation.

Supplier’s name, address, and the item’s serial number

Needed for maintenance and renewal of assets

Location of the asset

Needed for physical inspection of the asset or for routine maintenance checks.

Date asset last inspected

Needed for auditing, maintenance and safety procedures.

Date asset scrapped or sold

Needed for auditing purposes.

9 Test your knowledge

Two quick checks before you move on: work through the flashcards to fix this chapter’s terms and definitions, then sit the objective questions for exam-style practice. Both mark themselves and explain the answers as you go.

Practice questions

Depreciation

12 questions

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