Examples of system reducing balance depreciation calculations
For accounting purposes depreciation represents the extent to which the economic value of an asset to the organisation has been consumed by the organisation. Reducing balance depreciation in each year is calculated as a percentage of the un-depreciated value (net value of the asset). So for an asset with a purchase cost of £1000 depreciated at a reducing rate of 30%, the first year depreciation is £300 (30% of £1,000), the second year depreciation is £210 (30% of net value at that time which is the £1,000 cost less £300 depreciation to date i.e. 30% of £700) and so on. The reducing balance rule is commonly used where the value of an asset falls more quickly in the early years than the latter years of its useful economic life. Cars and Personal computers probably follow this pattern.
How the system calculates reducing balance depreciation
The system computes a net book value (Cost or Valuation less cumulative depreciation less any Estimated Residual Value entered on the asset record) at the date of a depreciation posting or report and compares to the net book value at the start of the period. The difference adjusting for any additions, revaluations etc. is the depreciation for the period.
NOTE - If you have entered a residual value for the asset on the asset record then this value is deducted from the NBV in the calculation of depreciation
For those interested, the annual reducing balance rate set on the asset is used to determine a daily rate using compound interest theory over 365 days per year. So that to compute the net book value (NBV) on a particular date the calculation is: -
New NBV = Previous NBV * (1 - annual rate TO THE POWER OF (number of days of depreciation/365)
Examples
- Opening balance asset
- New asset
- Revaluation of an asset
- Impairment of an asset
- Additions to an existing asset
Opening balance asset
Cost | Dep'n | NBV | ||
---|---|---|---|---|
Asset start date | 31 Dec 2018 | - | - | - |
Opening Balance Information as at | 1 Jan 2020 | 6,000.00 | 1,800.00 | 4,200.00 |
Days from opening balance date to (say) 31 Oct 2020 | 306 | - | - | - |
Reducing balance rate set at | 30% | - | - | - |
Depreciation calculated for period 1 Jan to 31 Oct | - | - | 1,082.47 | - |
Revised asset Value (NBV) at | 31 Oct 2020 | - | - | 3,117.53 |
The NBV value above at 31 Oct 2020 is calculated as (4,200 x (1-0.3)^POWER(305/365)) and cumulative depreciation is (6,000 less 3,117.53) 2,882.47.
Return to the list of casesNew asset
Cost | Dep'n | NBV | ||
---|---|---|---|---|
Asset cost and start date | 2 Sept 2020 | 10,000.00 | - | 10,000.00 |
Days start date to (say) 31 Dec 2020 | 120 | - | - | - |
Reducing balance rate set at | 25% | - | - | - |
Depreciation calculated for period 2 Sept to 31 Dec | - | - | 902.45 | - |
Revised asset Value (NBV) at | 31 Dec 2020 | - | - | 9,097.55 |
The NBV value above at 31 Dec 2020 is calculated as (10,000 x (1-0.25)^(120/365)) and cumulative depreciation is (10,000 less 9,097.55) 902.45
Return to the list of casesRevaluation of an asset
Cost/Reval. | Dep'n | NBV | ||
---|---|---|---|---|
Asset cost and NBV at | 30 Sept 2020 | 6,000.00 | 2,786.59 | 3,213.41 |
Asset revalued to 5,000 on | 1 Oct 2020 | 7,786.59 | 2,786.59 | 5,000.00 |
Days from revaluation date to (say) 31 Dec 2020 | 92 | - | - | - |
Reducing balance rate set at | 30% | - | - | - |
Depreciation calculated for period 1 Oct to 31 Dec | - | - | 429.89 | - |
Revised asset Value (NBV) at | 31 Dec 2020 | - | - | 4,507.11 |
The NBV value above at 31 Dec 2020 is calculated as (5,000 x (1-0.30)^(92/365)) and cumulative depreciation is (7,786.59 less 4,507.11) 3,279.48
Return to the list of casesImpairment of an asset
Cost | Dep'n | NBV | ||
---|---|---|---|---|
Asset cost and NBV at | 30 Sept 2020 | 10,000.00 | 218.27 | 9781.73 |
Asset impaired to 5,000 on | 1 Oct 2020 | 10,000.00 | 5,000.00 | 5,000.00 |
Days from impairment date to (say) 31 Dec 2020 | 91 | - | - | - |
Reducing balance rate set at | 25% | - | - | - |
Depreciation calculated for period 2 Oct to 31 Dec | - | - | 346.06 | - |
Revised asset Value (NBV) at | 31 Dec 2020 | - | - | 4,653.94 |
The NBV value above at 31 Dec 2020 is calculated as (5,000 x (1-0.25)^(91/365)) and cumulative depreciation is (10,000.00 less 4.653.94) 5,346.06
Return to the list of casesAdditions to an existing asset
An addition to an existing asset can be added by using a journal referenced to the relevant asset. Debit the appropriate tangible fixed asset cost account and the credit to asset additions account. Note the payment is also recorded to the asset additions account to balance to zero.
The system calculates a NBV, and therefore depreciation, for each addition starting in the month in which it was added.
Cost | Dep'n | NBV | ||
---|---|---|---|---|
Original asset cost and NBV at | 30 Sept 2020 | 10,000.00 | 218.27 | 9781.73 |
Asset addition on | 1 Oct 2020 | 1,000.00 | - | 1,000.00 |
Reducing balance rate set at | 25% | - | - | - |
Original asset calculated depreciation and NBV at | 31 October 2020 | 10,000.00 | 241.37 | 9,758.63 |
Addition to asset calculated depreciation and NBV at | 31 October 2020 | 1,000.00 | 24.14 | 975.86 |
Total asset depreciation and NBV at | 31 October 2020 | 11,000.00 | 265.51 | 10,734.49 |