Sum of the digits: Difference between revisions
imported>Administrator (CSV import) |
imported>Doug Williamson m (Spacing 20/8/13) |
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(SOD). | (SOD). | ||
1. | 1. | ||
A basis of allocating total costs or income across successive time periods, so as to 'front-end load' them. | A basis of allocating total costs or income across successive time periods, so as to 'front-end load' them. | ||
In other words, a systematically greater proportion of the total cost or income is allocated to the earlier periods. | In other words, a systematically greater proportion of the total cost or income is allocated to the earlier periods. | ||
For example, a fixed asset has a cost of $12m, an expected disposal value of $2m and an expected useful life of 4 years. | For example, a fixed asset has a cost of $12m, an expected disposal value of $2m and an expected useful life of 4 years. | ||
The total expected accounting cost for the 4 year period = $12m - $2m = $10m. | The total expected accounting cost for the 4 year period = $12m - $2m = $10m. | ||
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Year 1: 4/10 (x $10m = $4m). | Year 1: 4/10 (x $10m = $4m). | ||
Year 2: 3/10 (x $10m = $3m). | Year 2: 3/10 (x $10m = $3m). | ||
Year 3: 2/10 (x $10m = $2m). | Year 3: 2/10 (x $10m = $2m). | ||
Year 4: 1/10 (x $10m = $1m). | Year 4: 1/10 (x $10m = $1m). | ||
The net book value of the fixed asset - applying the depreciation charges calculated above - would be (at the end of each year): | The net book value of the fixed asset - applying the depreciation charges calculated above - would be (at the end of each year): | ||
Year 1 = 12 - 4 = $8m. | Year 1 = 12 - 4 = $8m. | ||
Year 2 = 8 - 3 = $5m. | Year 2 = 8 - 3 = $5m. | ||
Year 3 = 5 - 2 = $3m. | Year 3 = 5 - 2 = $3m. | ||
Year 4 = 3 - 1 = $2m. | Year 4 = 3 - 1 = $2m. | ||
2. | 2. | ||
Sum of the digits methods are sometimes used to allocate total finance charges - for example under IAS 17 - as a simpler alternative to the Implied rate of interest (or Actuarial) method. | Sum of the digits methods are sometimes used to allocate total finance charges - for example under IAS 17 - as a simpler alternative to the Implied rate of interest (or Actuarial) method. | ||
== See also == | == See also == | ||
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* [[Reducing balance]] | * [[Reducing balance]] | ||
* [[Straight line]] | * [[Straight line]] | ||
Revision as of 08:22, 20 August 2013
(SOD).
1.
A basis of allocating total costs or income across successive time periods, so as to 'front-end load' them.
In other words, a systematically greater proportion of the total cost or income is allocated to the earlier periods.
For example, a fixed asset has a cost of $12m, an expected disposal value of $2m and an expected useful life of 4 years.
The total expected accounting cost for the 4 year period = $12m - $2m = $10m.
The 'sum of the digits' of the expected holding Years 1 to 4 inclusive = 1 + 2 + 3 + 4 = 10.
The allocation proportions (for the total depreciation charges of $10m) are calculated as follows:
Year 1: 4/10 (x $10m = $4m).
Year 2: 3/10 (x $10m = $3m).
Year 3: 2/10 (x $10m = $2m).
Year 4: 1/10 (x $10m = $1m).
The net book value of the fixed asset - applying the depreciation charges calculated above - would be (at the end of each year):
Year 1 = 12 - 4 = $8m.
Year 2 = 8 - 3 = $5m.
Year 3 = 5 - 2 = $3m.
Year 4 = 3 - 1 = $2m.
2.
Sum of the digits methods are sometimes used to allocate total finance charges - for example under IAS 17 - as a simpler alternative to the Implied rate of interest (or Actuarial) method.
