DEFINE DEPRECIATION, WHAT ARE
VARIOUS METHODS OF DEPRECIATION?
DEFINITION:
“DEPRECIATION IS THE GRADUAL AND PERMANENT ECREASE IN THE
VALUE OF AN ASSET DUE TO ANY CAUSE”
Depreciation refers to two very different but related concepts:
- the decrease in value of assets (fair value depreciation), and
- the allocation of the cost of assets to periods in
which the assets are used (depreciation with the matching principle).
Accounting
concept
In determining the profits (net
income) from an activity, the receipts from the activity must be reduced by
appropriate costs. One such cost is the cost of assets used but not currently
consumed in the activity.[1] Such costs must be allocated to the
period of use. The cost of an asset so allocated is the difference between the
amount paid for the asset and the amount expected to be received upon its
disposition. Depreciation is any method of allocating such net cost to those
periods expected to benefit from use of the asset. The asset is referred to as
a depreciable asset. Depreciation is a method of allocation, not valuation.]
Effect
on cash
Depreciation expense does not
require current outlay of cash. However, the cost of acquiring depreciable
assets may require such outlay. Thus, depreciation does not affect a statement
of cash flows, but cost of acquiring assets does.
Methods
of depreciation
There are several methods for
calculating depreciation, generally based on either the passage of time or the
level of activity (or use) of the asset.
Straight-line
depreciation
Straight-line depreciation is the
simplest and most-often-used technique, in which the company estimates the
salvage value of the asset at the end of the period during which it will be
used to generate revenues (useful life) and will expense a portion of original
cost in equal increments over that period. The salvage value is an estimate
of the value of the asset at the time it will be sold or disposed of; it may be
zero or even negative. Salvage value is also known as scrap value or residual value.
Straight-line method:
Book
value at
beginning of year
|
Depreciation
expense
|
Accumulated
depreciation
|
Book
value at
end of year
|
$17,000 (original cost)
|
$3,000
|
$3,000
|
$14,000
|
$14,000
|
$3,000
|
$6,000
|
$11,000
|
$11,000
|
$3,000
|
$9,000
|
$8,000
|
$8,000
|
$3,000
|
$12,000
|
$5,000
|
$5,000
|
$3,000
|
$15,000
|
$2,000 (scrap value)
|
If the vehicle were to be sold and
the sales price exceeded the depreciated value (net book value) then the excess
would be considered a gain and subject to depreciation recapture.
In addition, this gain above the depreciated value would be recognized as
ordinary income by the tax office. If the sales price is ever less than the
book value, the resulting capital loss is tax deductible. If the sale price
were ever more than the original book value, then the gain above the original
book value is recognized as a capital gain.
Declining-balance
method (or Reducing balance method)
Depreciation methods that provide
for a higher depreciation charge in the first year of an asset's life and
gradually decreasing charges in subsequent years are called accelerated
depreciation methods. This may be a more realistic reflection of an asset's
actual expected benefit from the use of the asset: many assets are most useful
when they are new. One popular accelerated method is the declining-balance
method. Under this method the book value is multiplied by a fixed rate.
Annual Depreciation = Depreciation
Rate * Book Value at Beginning of
Year
Book
value at
beginning of year
|
Depreciation
rate
|
Depreciation
expense
|
Accumulated
depreciation
|
Book
value at
end of year
|
$1,000 (original cost)
|
40%
|
$400
|
$400
|
$600
|
$600
|
40%
|
$240
|
$640
|
$360
|
$360
|
40%
|
$144
|
$784
|
$216
|
$216
|
40%
|
$86.40
|
$870.40
|
$129.60
|
$129.60
|
$129.60 - $100
|
$29.60
|
$900
|
$100 (scrap value)
|
When using the
double-declining-balance method, the salvage value is not considered in
determining the annual depreciation, but the book value of the asset being
depreciated is never brought below its salvage value, regardless of the method
used. The process continues until the salvage value or the end of the asset's
useful life, is reached. In the last year of depreciation a subtraction might
be needed in order to prevent book value from falling below estimated Scrap
Value.
Since double-declining-balance depreciation
does not always depreciate an asset fully by its end of life, some methods also
compute a straight-line depreciation each year, and apply the greater of the
two. This has the effect of converting from declining-balance depreciation to
straight-line depreciation at a midpoint in the asset's life.
It is possible to find a rate that
would allow for full depreciation by its end of life with the formula:
,
where N is the estimated life of the
asset (for example, in years).
Activity
depreciation
Activity depreciation methods are
not based on time, but on a level of activity. This could be miles driven for a
vehicle, or a cycle count for a machine. When the asset is acquired, its life
is estimated in terms of this level of activity. Assume the vehicle above is
estimated to go 50,000 miles in its lifetime. The per-mile depreciation rate is
calculated as: ($17,000 cost - $2,000 salvage) / 50,000 miles = $0.30 per mile.
Each year, the depreciation expense is then calculated by multiplying the rate
by the actual activity level.
Sum-of-years'
digits method
Sum-of-years' digits is a
depreciation method that results in a more accelerated write-off than straight
line, but less than declining-balance method. Under this method annual
depreciation is determined by multiplying the Depreciable Cost by a schedule of
fractions.
depreciable cost = original cost −
salvage value
book value = original cost − accumulated
depreciation
Example: If an asset has original cost of $1000, a useful
life of 5 years and a salvage value of $100, compute its
depreciation schedule.
First, determine years' digits.
Since the asset has useful life of 5 years, the years' digits are: 5,
4, 3, 2, and 1.
Next, calculate the sum of the
digits. 5+4+3+2+1=15
The sum of the digits can also be
determined by using the formula (n2+n)/2 where n is equal to
the useful life of the asset. The example would be shown as (52+5)/2=15
Depreciation rates are as follows:
5/15 for the 1st year, 4/15 for the 2nd year, 3/15
for the 3rd year, 2/15 for the 4th year, and 1/15 for the 5th
year.
Book
value at
beginning of year
|
Total
depreciable
cost
|
Depreciation
rate
|
Depreciation
expense
|
Accumulated
depreciation
|
Book
value at
end of year
|
$1,000 (original cost)
|
$900
|
5/15
|
$300 ($900 * 5/15)
|
$300
|
$700
|
$700
|
$900
|
4/15
|
$240 ($900 * 4/15)
|
$540
|
$460
|
$460
|
$900
|
3/15
|
$180 ($900 * 3/15)
|
$720
|
$280
|
$280
|
$900
|
2/15
|
$120 ($900 * 2/15)
|
$840
|
$160
|
$160
|
$900
|
1/15
|
$60 ($900 * 1/15)
|
$900
|
$100 (scrap value)
|
Units-of-production
depreciation method
Under the units-of-production
method, useful life of the asset is expressed in terms of the total number of
units expected to be produced:
Suppose, an asset has original
cost $70,000, salvage value $10,000, and is expected to produce 6,000
units.
Depreciation per unit =
($70,000−10,000) / 6,000 = $10
10 × actual production will give the
depreciation cost of the current year.
The table below illustrates the units-of-production
depreciation schedule of the asset.
Book
value at
beginning of year
|
Units
of
production
|
Depreciation
cost per unit
|
Depreciation
expense
|
Accumulated
depreciation
|
Book
value at
end of year
|
$70,000 (original cost)
|
1,000
|
$10
|
$10,000
|
$10,000
|
$60,000
|
$60,000
|
1,100
|
$10
|
$11,000
|
$21,000
|
$49,000
|
$49,000
|
1,200
|
$10
|
$12,000
|
$33,000
|
$37,000
|
$37,000
|
1,300
|
$10
|
$13,000
|
$46,000
|
$24,000
|
$24,000
|
1,400
|
$10
|
$14,000
|
$60,000
|
$10,000 (scrap value)
|
Depreciation stops when book value
is equal to the scrap value of the asset. In the end, the sum of accumulated
depreciation and scrap value equals the original cost.
Units
of time depreciation
Units of time depreciation is
similar to units of production, and is used for depreciation equipment used in
mine or natural resource exploration, or cases where the amount the asset is
used is not linear year to year.
A simple example can be given for
construction companies, where some equipment is used only for some specific
purpose. Depending on the number of projects, the equipment will be used and
depreciation charged accordingly.
Composite
depreciation method
The composite method is applied to a
collection of assets that are not similar, and have different service lives.
For example, computers and printers are not similar, but both are part of the
office equipment. Depreciation on all assets is determined by using the
straight-line-depreciation method.
Asset
|
Historical
cost
|
Salvage
value
|
Depreciable
cost
|
Life
|
Depreciation
per year
|
Computers
|
$5,500
|
$500
|
$5,000
|
5
|
$1,000
|
Printers
|
$1,000
|
$100
|
$ 900
|
3
|
$ 300
|
Total
|
$ 6,500
|
$600
|
$5,900
|
4.5
|
$1,300
|
Composite life equals the total depreciable cost divided by the total
depreciation per year. $5,900 / $1,300 = 4.5 years.
Composite depreciation rate equals depreciation per year divided by total historical
cost. $1,300 / $6,500 = 0.20 = 20%
Depreciation expense equals the composite depreciation rate times the balance in
the asset account (historical cost). (0.20 * $6,500) $1,300. Debit depreciation
expense and credit accumulated depreciation.
When an asset is sold, debit cash
for the amount received and credit the asset account for its original cost.
Debit the difference between the two to accumulated depreciation. Under the
composite method no gain or loss is recognized on the sale of an asset.
Theoretically, this makes sense because the gains and losses from assets sold
before and after the composite life will average themselves out.
Depletion Method of Depreciation:
Learning Objectives:
1. What is depletion
method of depreciation? Explain with example.
Depletion
method of depreciation is especially suited to mines, quarries, sand pits,
etc. According to it the cost of the asset is divided by the total workable
deposits. In this way, rate of depreciation per unit of output is ascertained.
Depreciation in any particular year is charged on the basis of the output
during that year.
Example:
A mine was
acquired at a cost of $20,00,000 the quantity of minerals expected to be mined
is 5,00,000 tons, the rate of depreciation per unit will be $4 i.e., (20,00,000
/ 5,00,000). If during the year 25,000 tons minerals is extracted, the amount
of depreciation will be 25,000 × 4 = $1,00,000.
Intangible Assets
Subject to Amortization
Allocating the cost of intangible assets is called amortization cost allocation for intangibles.. For an intangible asset with a finite
useful life, we allocate its capitalized cost less any estimated residual
value to periods in which the asset is expected to contribute to the
company's revenue-generating activities. This requires that we determine
the asset's useful life, its amortization base (cost less estimated
residual value), and the appropriate allocation method, similar to our
depreciating tangible assets.
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