The three accelerated methods (DB, DDB, and SYD) calculate more depreciation in the early years, and straight line (SL) returns more depreciation expense in the later years. DDB is slightly faster than DB in this table. However, that difference between the two can be increased or decreased by adjusting the factor used in the DDB formula.
Notice that the declining balance method does not properly sum to the total cost less salvage value of the asset. This could create bookkeeping issues when balancing to your depreciation expense schedules.
Live examples in Sheets
Go to this spreadsheeet for a live version of the above table that you can study and use anywhere you would like.
The double declining balance depreciation method is one of the techniques used to depreciate an asset more quickly during the beginning of its life than the end. Unlike under the straight line method, the depreciation expense is not the same for every full period of depreciation. Rather, like its name, the amount of depreciation declines in each successive period.
See a table comparing the different depreciation amounts using the different methods.
Videos
Purpose
To return the value of one period of double declining balance depreciation expense.
Syntax
=DDB(cost,salvage,life,period,[factor])
cost – Acquisition cost of the asset. Includes purchase price and costs associated with its acquisition such as freight and sales tax.
salvage – Amount that you expect to receive in exchange for the asset at the end of its useful life. Typically, this is zero. However, an example of a case where this not zero is the expected trade-in value of an automobile.
life – Length of time that the asset is expect to be in service given in number of periods.
period – The period for which you are calculating depreciation expense.
[factor] – OPTIONAL. Factor used to increase depreciation instead of the default value of 2. Use this to increase or decrease the rate of depreciation with a higher number making the earlier amounts larger. If you do not specify a factor, it is the same as entering a 2.
Note: Be sure that life and period are in the same units (months or years).
Formulas
Examples
Example 1
An automobile is purchased for $40,000 that is expected to last 3 years and be traded-in for $4,000.
A
B
C
1
Data
Argument
Description
2
$40,000
cost
acquisition cost
3
$4,000
salvage
money back at end of life
4
3
life
number of periods for useful life
5
1
period
which period the expense is for
Formula
Description
Result
=DDB(A2,A3,A4,A5)
Depreciation expense for first period
$26,667
=DDB(A2,A3,A4,2)
Depreciation expense for second period
$8,889
=DDB(A2,A3,A4,3)
Depreciation expense for final period
$444
Notice that the three results add up to 36,004 instead of 36,000. Although this difference would be immaterial to a financial statement user, it could cause problems for bookkeepers trying to balance the accounts.
Example 2
A laptop computer is purchased for €3,000 that is expected to last 36 months and is expected to be worth €150 at the end of the three years.
FormulaDescriptionResult
=DDB(3000,150,36,11)
Depreciation expense for month 11
€94
Note that months were used in the above table instead of years. The DDB function works with any type of time in input but it would typically be months or years.
Live examples in Sheets
Go to this spreadsheeet for the examples of the DDB function shown above that you can study and use anywhere you would like.
The sum of the years’ digits depreciation method is one of the techniques used to depreciate and asset more quickly during the beginning of its life than the end. Unlike under the straight line method, the depreciation expense is not the same for every full period of depreciation. Rather the amount of depreciation is greater in the early periods and declines in each successive period.
See a table comparing the different depreciation amounts using the different depreciation methods.
Videos
Purpose
To return the value of one period of sum of the years’ digits depreciation expense.
Syntax
=SYD(cost,salvage,life,period)
cost – Acquisition cost of the asset. Includes purchase price and costs associated with its acquisition such as freight and sales tax.
salvage – Amount that you expect to receive in exchange for the asset at the end of its useful life. Typically, this is zero. However, an example of a case where this not zero is the expected trade-in value of an automobile.
life – Length of time that the asset is expect to be in service given in number of periods.
period – The period for which you are calculating depreciation expense.
Formulas
Examples
Example 1
An automobile is purchased for 36,000 that is expected to last 3 years and be traded-in for 3,000.
A
B
C
1
Data
Argument
Description
2
$36,000
cost
acquisition cost
3
$3,000
salvage
money back at end of life
4
3
life
number of periods for useful life
5
1
period
which period the expense is for
Formula
Description
Result
=SYD(A2,A3,A4,A5)
Depreciation expense for first period
$16,500
=SYD(A2,A3,A4,2)
Depreciation expense for second period
$11,000
=SYD(A2,A3,A4,3)
Depreciation expense for final period
$5,500
Example 2
A laptop computer is purchased for €3,000 that is expected to last 36 months and is expected to be worth €150 at the end of the two years.
Formula
Description
Result
=SYD(3000,150,36,11)
Depreciation expense for month 11
€111
Live example in Sheets
Go to this spreadsheeet for a live version of the SYD function that you can study and use anywhere you would like.
Straight line depreciation is the most straight forward and the most common method of depreciation. Most accounting departments choose this method due to its simplicity and the fact that most fixed assets’ usefulness are consumed at a fairly even rate. If you buy a car, even though the fair market value declines most sharply in the first year, you probably are not planning on selling it anyway. The car still serves its function of getting you from point A to point B in the same way in year 5 as it does in year 1.
See a table comparing the different depreciation amounts using different depreciation methods.
Videos
Purpose
To return the value of one period of straight line depreciation expense.
Syntax
=SLN(cost,salvage,life)
cost – Acquistion cost of the asset. Includes purchase price and costs associated with its acquisition such as freight and sales tax.
salvage – Amount that you expect to receive in exchange for the asset at the end of its useful life. Typically, this is zero. However, an example of a case where this not zero is the expected trade-in value of an automobile.
life – Length of time that the asset is expect to be in service given in number of periods.
Formula
Examples
Example 1
An automobile is purchased for $40,000 that is expected to last 36 months and be traded-in for $4,000.
A
B
C
1
Data
Argument
Description
2
$40,000
cost
acquisition cost
3
$4,000
salvage
money back at end of life
4
36
life
number of periods for useful life
Formula
Description
Result
=SLN(A2,A3,A4)
Depreciation expense each period
$1,000
Example 2
A laptop computer is purchased for €3,000 that is expected to last 24 months and have no value after the end of the two years.
The fixed declining balance depreciation method is one of the techniques used to depreciate an asset more quickly during the beginning of its life than the end. Unlike under the straight line method, the depreciation expense is not the same for every full period of depreciation. Rather, like its name, the amount of depreciation declines in each successive period.
See a table comparing the different depreciation amounts using different depreciation methods.
Related Videos
Purpose
To return the value of one period of declining balance depreciation expense.
Syntax
=DB(cost,salvage,life,period,[month])
cost – Acquisition cost of the asset. Includes purchase price and costs associated with its acquisition such as freight and sales tax.
salvage – Amount that you expect to receive in exchange for the asset at the end of its useful life. This formula will not work with a zero in this field.
life – Length of time that the asset is expect to be in service given in number of periods.
period – The period for which you are calculating depreciation expense.
[month] – OPTIONAL. The number of months in the first year of depreciation if it is not a full year.
Note: Be sure that life and period are in the same units (months or years). Only use the [month] option if you are using months for the period and life.
Formulas
Examples
Example 1
An automobile is purchased for $40,000 that is expected to last 3 years and be traded-in for $4,000.
A
B
C
1
Data
Argument
Description
2
$40,000
cost
acquisition cost
3
$4,000
salvage
money back at end of life
4
3
life
number of periods for useful life
5
1
period
which period the expense is for
Formula
Description
Result
=DB(A2,A3,A4,A5
Depreciation expense for first period
$21,440
=DB(A2,A3,A4,2)
Depreciation expense for second period
$9,948
=DB(A2,A3,A4,3)
Depreciation expense for final period
$4,616
Notice that the three results add up to 36,004 instead of 36,000. Although this difference would be immaterial to a financial statement user, it could cause problems for bookkeepers trying to balance the accounts.
Example 2
A laptop computer is purchased for €3,000 that is expected to last 36 months and is expected to be worth €150 at the end of the three years.
Formula
Description
Result
=DB(3000,150,36,11)
Depreciation expense for month 11
€104
Live example in Sheets
Go to this spreadsheeet for a live version of the DB function that you can study and use anywhere you would like.
Depreciation is the accounting method used to spread the expense of purchasing a fixed asset over the time it is used. As GAAP and IFRS try to follow the matching principle, depreciation matches the expense of an asset to the same time period during which the asset is providing revenues. If a tangible asset is expected to provide value to an organization for more than one accounting period, then it should be capitalized and expensed over that period of time using a depreciation method.
Straight Line
As a practical expedient, book (not tax) depreciation is typically calculated on the straight line basis. This involves a relatively simple calculation which outputs an expense amount for each period which can be days, months, quarters, etc.
If you had a company policy of computer equipment having a useful life of three years, the calculation would be to divide the acquisition cost by 36 months and multiply the result by the number of months in the period.
Live versions of the SYD, DDB, and DB functions that you can study and use anywhere you would like. SLN didn’t make the cut due to its simplicity. There is also a comparison of the four methods.