Sum of the digits
(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.
