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This document is an appendix to the documentation on the setup of Depreciation methods.
In standard, Sage X3 comes with a number of depreciation methods. Some are associated with a given legislation, while others are common to all legislations.
This document describes the calculation principles of the depreciation methods associated with the German legislation.
This is a declining depreciation method that differs from the German mixed declining method because the depreciation rate is systematically applied as long as the depreciation end date is not reached: the depreciation is closed as soon as the depreciation end date is detected.
Example 1
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
01/01/2006 – 31/12/2006 |
10,000.00 |
(1) 1,000.00 |
1,000.00 |
|
01/01/2007 – 31/12/2007 |
9,000.00 |
(2) 2,700.00 |
3,700.00 |
|
01/01/2008 – 31/12/2008 |
6,300.00 |
1,890.00 |
5,590.00 |
|
01/01/2009 – 31/12/2009 |
4,410.00 |
1,323.00 |
6,913.00 |
|
01/01/2010 – 31/12/2010 |
3,087.00 |
926.10 |
7,839.10 |
|
01/01/2011 – 31/12/20 |
2,160.90 |
(3) 2,160.90 |
10,000.00 |
(1) 10,000.00 * 30% * 4/12 since the asset is held for only 4 months during this 1st fiscal year.
(2) 9,000.00 * 30% = 2,700.00
(3) 2,160.90 for the depreciation end date is in this fiscal year The depreciation is closed.
Distribution of the 2011 fiscal year charge based on the period weight in months:
|
Period |
Number of months / Weight |
Number of holding months |
Depreciation charge |
|
01/01/2011 – 31/03/2011 |
03 / 03 |
03 |
(4) 884.41 |
|
01/04/2011 – 30/06/2011 |
03 / 03 |
03 |
(5) 884.40 |
|
01/07/2011 – 30/09/2011 |
03 / 02 |
02 |
(6) 392.09 |
|
01/10/2011 – 31/12/2011 |
03 / 03 |
00 |
(7) 0.00 |
|
Fiscal year 2010 total |
2,160.90 |
||
(4) 2,160.90 * (03 / 03 * 03) / [(03 / 03 * 03) + (03 / 03 * 03) + (02 / 03 * 02) + (03 / 03 * 0) ] = 884.41
(5) 2,160.90 * [(03 / 03 * 03) + (03 / 03 * 03)] / [(03 / 03 * 03) + (03 / 03 * 03) + (02 / 03 * 02) + (03 / 03 * 0) ] = 1,768.81 – 884.41 = 884.40
(6) 2,160.90 * [(03 / 03 * 03) + (03 / 03 * 03) + (02 / 03 * 02)] / [(03 / 03 * 03) + (03 / 03 * 03) + (02 / 03 * 02) + (03 / 03 * 0) ] = 2,160.90 – 1,768.81 = 392.09
(7) 2,160.90 * [(03 / 03 * 03) + (03 / 03 * 03) + (02 / 03 * 02) + (03 / 03 * 0) ] / [(03 / 03 * 03) + (03 / 03 * 03) + (02 / 03 * 02) + (03 / 03 * 0) ] = 2,160.90 – 2,160.90 = 0.00
Example 2
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
01/01/2006 – 31/12/2006 |
10,000.00 |
(1) 1,000.00 |
1,000.00 |
|
01/01/2007 – 31/12/2007 |
9,000.00 |
(2) 2,700.00 |
3,700.00 |
|
01/01/2008 – 31/12/2008 |
6,300.00 |
1,890.00 |
5,590.00 |
|
01/01/2009 – 31/12/2009 |
4,410.00 |
(3) 4,410.00 |
10,000.00 |
(1) 10,000.00 * 30% * 4/12 since the asset is held for only 4 months during this 1st fiscal year.
(2) 9,000.00 * 30% = 2,700.00
(3) 4,410.00 since the depreciation end date is in this fiscal year The depreciation is closed.
(4) 6,300.00 * 30% * 6/12 = 945.00 for the asset is held only for 6 months.
In case of asset issue on 14/06/2008 (depreciations are calculated until the last day of the month 06/2007):
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
01/01/2006 – 31/12/2006 |
10,000.00 |
1,000.00 |
1,000.00 |
|
01/01/2007 – 31/12/2007 |
9,000.00 |
2,700.00 |
3,700.00 |
|
01/01/2008 – 31/12/2008 |
6,300.00 |
(4) 945.00 |
4,645.00 |
Example 3
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
03/01/2006 – 01/01/2007 |
10,000.00 |
(1) 980.77 |
980.77 |
|
02/01/2007 – 31/12/2007 |
9,019.23 |
(2) 2,705.77 |
3,686.54 |
|
01/01/2008 – 30/12/2008 |
6,313.46 |
1,894.04 |
5,580.58 |
|
31/12/2008 – 28/12/2009 |
4,419.42 |
1,325.83 |
6,906.41 |
|
29/12/2009 – 27/12/2010 |
3,093.59 |
928.08 |
7,834.49 |
|
28/12/2010 – 02/01/2012 |
2,165.51 |
(3) 2,165.51 |
10,000.00 |
(1) 10,000.00 * 30% * 17/52 since the asset is held for only 17 weeks during this 1st fiscal year.
(2) 9,019.23 * 30% = 2,705.77
(3) Charge = Net value since the depreciation end date 29/08/2011 is in the fiscal year.
Distribution of the fiscal year 2007 charge according to the period weight in weeks:
(4) 2,705.77 * (13 / 13 * 13) / [(13 / 13 * 13) + (13 / 13 * 13) + (9 / 13 * 13) + (13 / 13 * 13) ] = 732.81
(5) 2,705.77 * [(13 / 13 * 13) + (13 / 13 * 13)] / [(13 / 13 * 13) + (13 / 13 * 13) + (9 / 13 * 13) + (13 / 13 * 13) ] = 1,465.63 – 732.81 = 732.82
(6) 2,705.77 * [((13 / 13 * 13) + (13 / 13 * 13) + (9 / 13 * 13)] / [(13 / 13 * 13) + (13 / 13 * 13) + (9 / 13 * 13) + (13 / 13 * 13) ] = 1,972.96 – 1,465.63 = 507.33
(7) 2,705.77 * [(13 / 13 * 13) + (13 / 13 * 13) + (9 / 13 * 13) + (13 / 13 * 13)] / [(13 / 13 * 13) + (13 / 13 * 13) + (9 / 13 * 13) + (13 / 13 * 13) ] = 2,705.77 – 1,972.96 = 732.81
Example 4
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
03/01/2006 – 01/01/2007 |
10,000.00 |
(1) 980.77 |
980.77 |
|
02/01/2007 – 31/12/2007 |
9,019.23 |
(2) 2,705.77 |
3,686.54 |
|
01/01/2008 – 30/12/2008 |
6,313.46 |
1,894.04 |
5,580.58 |
|
31/12/2008 – 28/12/2009 |
4,419.42 |
(3) 4,419.42 |
10,000.00 |
(1) 10,000.00 * 30% * 17/52 since the asset is held for only 17 weeks during this 1st fiscal year.
(2) 9,019.23 * 30% = 2,705.77
(3) Charge = Net value since the depreciation end date 28/12/2009 is in the fiscal year.
(4) 6 313,46 * 30% * (30 weeks / 52 weeks) = 1 092,72
In case of asset issue on 14/07/2008 (depreciation calculated until the last day of the last week in 07/2008, that is, on 29/07/2008):
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
03/01/2006 – 01/01/2007 |
10,000.00 |
980.77 |
980.77 |
|
02/01/2007 – 31/12/2007 |
9,019.23 |
2,705.77 |
3,686.54 |
|
01/01/2008 – 30/12/2008 |
6,313.46 |
(4) 1,092.72 |
4,779.26 |
Example 5
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
01/01/2008 – 31/12/2008 |
10,000.00 |
(1) 666.67 |
666.67 |
|
01/01/2009 – 31/12/2009 |
9,333.33 |
(2) 1,866.67 |
2,533.34 |
|
01/01/2010 – 31/12/2010 |
7,466.66 |
1,493.33 |
4,026.67 |
|
01/01/2011 – 31/12/2011 |
5,973.33 |
1,194.67 |
5,221.34 |
|
01/01/2012 – 31/12/2012 |
4,778.66 |
955.73 |
6,177.07 |
|
01/01/2013 – 31/12/2013 |
3,822.93 |
(3) 3,822.93 |
10,000.00 |
(1) 10,000.00 * 20 % * 4/12 since the asset is held for only 4 months during this 1st fiscal year.
(2) 9,333.33 * 20% = 1,866.67
(3) Charge = Net value since the depreciation end date 31/08/2013 is in the fiscal year.
Example 6
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
01/01/2009 – 31/12/2009 |
10,000.00 |
(1) 833.33 |
833.33 |
|
01/01/2010 – 31/12/2010 |
9,166.67 |
(2) 2,291.67 |
3,125.00 |
|
01/01/2011 – 31/12/2011 |
6,875.00 |
1,718.75 |
4,843.75 |
|
01/01/2012 – 31/12/2012 |
5,156.25 |
1,289.06 |
6,132.81 |
|
01/01/2013 – 31/12/2013 |
3,867.19 |
966.80 |
7,099.61 |
|
01/01/2014 – 31/12/2014 |
2,900.39 |
(3) 2,900.39 |
10,000.00 |
(1) 10,000.00 * 25 % * 4/12 since the asset is held for only 4 months during this 1st fiscal year.
(2) 9,166.67 * 25% = 2,291.67
(3) Charge = Net value since the depreciation end date 31/08/2014 is in the fiscal year.
The origin depends on the prorata temporis:
If the prorata temporis is expressed in months:
The declining depreciation origin is the 1st day of the month entered in the depreciation start date.
If the prorata temporis is expressed in weeks:
The declining depreciation origin is the 1st day of the 1st week of the month entered in the depreciation start date.
If the depreciation method defined at setup is retained, the depreciation start date will automatically be loaded with the 1st day of the acquisition quarter: the depreciation will thus be determined from this date on.
You need to enter the duration in years and hundredths of years. For example: 6 years 2/3 = 6.66 or 6.67.
All the durations entered or imported with more than 2 decimal places are rounded to 2 decimal places. The same applies to residual durations calculated in the framework of intra-group sales.
The rate that can be applied for the declining depreciation calculation cannot be determined by section associations, it is automatically determined as follows:
Decrease of both values: (1 / depreciation duration * depreciation factor) and maximum rate
The depreciation factor and depreciation rate maximum are defined as follows:
|
Purchase period |
Coefficient |
Maximum rate |
|
Until 12/31/2000 |
3 |
30% |
|
01/01/2001 - 31/12/2005 |
2 |
20% |
|
01/01/2006 - 31/12/2007 |
3 |
30% |
|
01/01/2008 - 31/12/2008 |
1 |
|
|
01/01/2009 - 31/12/2010 |
2.5 |
25% |
|
From 01/01/2011 and after |
1 |
|
| 01/01/2020 - 31/12/2022 | 2.25 | 25% |
| 01/04/2024 - 31/12/2024 | 2 | 20% |
It depends on the prorata temporis type.
If the prorata temporis is expressed in months:
Depreciation end date = 1st day of the month of the depreciation start date + depreciation duration in months.
This leads to a depreciation end set at the end of the month.
Example 1
Depreciation start date: 05/12/2005
Duration: 3 years
Depreciation end date: 30/11/2008
Example 2
Depreciation start date: 01/07/2005
Duration: 5 years
Depreciation end date: 30/06/2010
If the prorata temporis is expressed in weeks:
Depreciation end date = 1st day of the 1st week of the month of the depreciation start date + depreciation duration in months.
This leads to a depreciation end set at the end of a week.
Example 3
Depreciation start date: 15/09/2005 (the 1st day of the 1st week in 09/05 is 05/09/2005)
Duration: 5 years
Depreciation end date: 29/08/2010
The time is expressed in months or weeks if the Prorata temporis in weeks field is selected at depreciation context level.
A prorata temporis is applied in the following cases:
The charge for the fiscal years, except for the last one, is equal to: Net depreciable value * rate * prorata temporis
A prorata temporis in months or in days is applied in the following cases:
A prorata temporis in months or in weeks is applied in the following cases:
Notes
Example 1
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
01/01/2006 – 31/12/2006 |
10,000.00 |
(1) 1,000.00 |
1,000.00 |
|
01/01/2007 – 31/12/2007 |
9,000.00 |
(2) 2,700.00 |
3,700.00 |
|
01/01/2008 – 31/12/2008 |
6,300.00 |
1,890.00 |
5,590.00 |
|
01/01/2009 – 31/12/2009 |
4,410.00 |
(3) 1,653.75 |
7,243.75 |
|
01/01/2010 – 31/12/2010 |
2,756.25 |
(4) 1,653.75 |
8,897.50 |
|
01/01/2011 – 31/12/2011 |
1,102.50 |
(5) 1,102.50 |
10,000.00 |
(1) 10,000.00 * 30% * 4/12 since the asset is held for only 4 months during this 1st fiscal year.
(2) 9,000.00 * 30% = 2,700.00
(3) than 4,410.00 * 30% = 1,323.00
(4) Net value 2,756.25 * (12 months / 20 months remaining to be depreciated) = 1,653.75
(5) Charge = Net value since the depreciation end date 31/08/2011 is in the fiscal year.
Distribution of the 2006 fiscal year charge based on the period weight in months:
|
Period |
Number of months / Weight |
Number of holding months |
Depreciation charge |
|
01/01/2007 – 31/03/2007 |
03 / 03 |
03 |
(1) 736.36 |
|
01/04/2007 – 30/06/2007 |
03 / 03 |
03 |
(2) 736.37 |
|
01/07/2007 – 30/09/2007 |
03 / 02 |
03 |
(3) 490.91 |
|
01/10/2007 – 31/12/2007 |
03 / 03 |
03 |
(4) 736.36 |
|
Fiscal year 2006 total |
2,700.00 |
||
(1) 2,700.00 * (03 / 03 * 03) / [(03 / 03 * 03) + (03 / 03 * 03) + (02 / 03 * 03) + (03 / 03 * 03) ] = 736.36
(2) 2,700.00 * [(03 / 03 * 03) + (03 / 03 * 03)]
/ [(03 / 03 * 03) + (03 / 03 * 03) + (02 / 03 * 03) + (03 / 03 * 03) ] = 1,472.73 – 736.36 = 736.37
(3) 2,700.00 * [(03 / 03 * 03) + (03 / 03 * 03) + (02 / 03 * 03)]
/ [(03 / 03 * 03) + (03 / 03 * 03) + (02 / 03 * 03) + (03 / 03 * 03) ] = 1,963.64 – 1,472.73 = 490.91
(4) 2,700.00 * [(03 / 03 * 03) + (03 / 03 * 03) + (02 / 03 * 03) + (03 / 03 * 03) ]
/ [(03 / 03 * 03) + (03 / 03 * 03) + (02 / 03 * 03) + (03 / 03 * 03) ] = 2,700.00 – 1,963.64 = 736.36
Example 2
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
01/01/2006 – 31/12/2006 |
10,000.00 |
(1) 1,000.00 |
1,000.00 |
|
01/01/2007 – 31/12/2007 |
9,000.00 |
(2) 3,000.00 |
4,000.00 |
|
01/01/2008 – 31/12/2008 |
6,000.00 |
3,000.00 |
7,000.00 |
|
01/01/2009 – 31/12/2009 |
3,000.00 |
3,000.00 |
10,000.00 |
(1) 10,000.00 * 30% * 4/12 since the asset is held for only 4 months during this 1st fiscal year.
(2) 9,000.00 * (12 months / 36 months remaining to be depreciated) = 3,000.00 > than 9,000.00 * 30% = 2,700.00
In case of asset issue on 14/06/2008 (the depreciation is calculated until the end of month 06/2008):
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
01/01/2006 – 31/12/2006 |
10,000.00 |
1,000.00 |
1,000.00 |
|
01/01/2007 – 31/12/2007 |
9,000.00 |
3,000.00 |
4,000.00 |
|
01/01/2008 – 31/12/2008 |
6,000.00 |
(3) 1,500.00 |
5,500.00 |
(3) 6,000.00 * (6 months / 24 months) = 1,500.00 > than 6,000.00 * 30% * 6/12 = 900.00
Example 3
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
03/01/2006 – 01/01/2007 |
10,000.00 |
(1) 980.77 |
980.77 |
|
02/01/2007 – 31/12/2007 |
9,019.23 |
(2) 2,705.77 |
3,686.54 |
|
01/01/2008 – 30/12/2008 |
6,313.46 |
1,894.04 |
5,580.58 |
|
31/12/2008 – 28/12/2009 |
4,419.42 |
(3) 1,653.31 |
7,233.89 |
|
29/12/2009 – 27/12/2010 |
2,766.11 |
(4) 1,653.31 |
8,887.20 |
|
28/12/2010 – 02/01/2012 |
1,112.80 |
(5) 1,112.80 |
10,000.00 |
(1) 10,000.00 * 30% * 17/52 since the asset is held for only 17 weeks during this 1st fiscal year.
(2) 9,019.23 * 30% = 2,705.77
(3) 4,419.42 * (52 weeks / 139 weeks remaining to be depreciated) = 1,653.31 > than 4,419.42 * 30% = 1,325.831,325.83
(4) Net value 2,766.11 * (52 weeks / 87 weeks remaining to be depreciated) = 1,653.31
(5) Charge = Net value since the depreciation end date 29/08/2011 is in the fiscal year.
Distribution of the 2007 fiscal year charge based on the period weight in weeks:
|
Period |
Number of months / Weight |
Number of holding months |
Depreciation charge |
|
02/01/20067– 02/04/2007 |
13 / 13 |
13 |
(6) 732.81 |
|
03/04/2007 – 02/07/2007 |
13 / 13 |
13 |
(7) 732.82 |
|
03/07/2007 – 01/10/2007 |
13 / 09 |
13 |
(8) 507.33 |
|
02/10/2007 – 31/12/2007 |
13 / 13 |
13 |
(9) 732.81 |
|
Fiscal year 2006 total |
2,705.77 |
||
(6) 2,705.77 * (13 / 13 * 13) / [(13 / 13 * 13) + (13 / 13 * 13) + (9 / 13 * 13) + (13 / 13 * 13) ] = 732.81
(7) 2,705.77 * [(13 / 13 * 13) + (13 / 13 * 13)]
/ [(13 / 13 * 13) + (13 / 13 * 13) + (9 / 13 * 13) + (13 / 13 * 13) ] = 1,465.63 – 732.81 = 732.82
(8) 2,705.77 * [((13 / 13 * 13) + (13 / 13 * 13) + (9 / 13 * 13)]
/ [(13 / 13 * 13) + (13 / 13 * 13) + (9 / 13 * 13) + (13 / 13 * 13) ] = 1,972.96 – 1,465.63 = 507.33
(9) 2,705,77 * [(13 / 13 * 13) + (13 / 13 * 13) + (9 / 13 * 13) + (13 / 13 * 13)]
/ [(13 / 13 * 13) + (13 / 13 * 13) + (9 / 13 * 13) + (13 / 13 * 13) ] = 2,705.77 – 1,972.96 = 732.81
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
03/01/2006 – 01/01/2007 |
10,000.00 |
(1) 980.77 |
980.77 |
|
02/01/2007 – 31/12/2007 |
9,019.23 |
(2) 3,006.41 |
3,987.18 |
|
01/01/2008 – 30/12/2008 |
6,012.82 |
3,006.41 |
6,993.59 |
|
31/12/2008 – 28/12/2009 |
3,006.41 |
3,006.41 |
10,000.00 |
(1) 10,000.00 * 30% * 17/52 since the asset is held for only 17 weeks during this 1st fiscal year.
(2) 9,019.23 * (52 weeks / 156 weeks remaining to be depreciated) = 3,006.41 > than 9,019.23 * 30%2,705.77
In case of asset issue on 14/07/2008 (depreciation calculated until the last day of the last week in 07/2008, that is, on 29/07/2008):
|
Fiscal year |
Net value |
Fiscal year charge |
Fiscal year total |
|
03/01/2006 – 01/01/2007 |
10,000.00 |
980.77 |
980.77 |
|
02/01/2007 – 31/12/2007 |
9,019.23 |
3,006.41 |
3,987.18 |
|
01/01/2008 – 30/12/2008 |
6,012.82 |
(3) 1,734.47 |
5,721.65 |
(3) 6,012.82 * (30 weeks / 104 weeks) = 1,734.47
It is the declining depreciation method applied according to German rules. The depreciation plan ends in straight-line, like the French declining method.
The origin depends on the prorata temporis:
If the Simplification rule, specified when setting up the depreciation method setup is retained, the depreciation start date defaults to the first day of the acquisition quarter. The depreciation is determined from this date on.
You need to enter the duration in years and hundredths of years.
For example: 6 years 2/3 = 6.66 or 6.67
For this depreciation method, all the durations entered or imported with more than 2 decimal places is rounded to 2 decimal places. The same applies to residual durations calculated in the framework of intra-group sales.
The rate that can be applied for the declining depreciation calculation cannot be determined by section associations, it is automatically determined as follows:
Decrease of both values: (1 / depreciation duration * depreciation factor) and maximum rate
The depreciation factor and depreciation rate maximum are defined as follows:
|
Purchase period |
Coefficient |
Maximum rate |
|
Until 31/12/2000 |
3 |
30% |
|
01/01/2001 - 31/12/2005 |
2 |
20% |
|
01/01/2006 - 31/12/2007 |
|
30 % |
|
01/01/2008 - 31/12/2008 |
1 |
|
|
01/01/2009 - 31/12/2010 |
2.5 |
25 % |
|
From 01/01/2011 onwards |
1 |
It depends on the prorata temporis type.
If the prorata temporis is expressed in months:
Depreciation end date = 1st day of the month of the depreciation start date + depreciation duration in months.
This leads to a depreciation end set at the end of the month.
Example 1
Depreciation start date: 05/12/2005
Duration: 3 years
Depreciation end date: 11/30/2008
Example 2
Depreciation start date: 01/07/2005
Duration: 5 years
Depreciation end date: 30/06/2010
If the prorata temporis is expressed in weeks:
Depreciation end date = 1st day of the 1st week of the month of the depreciation start date + depreciation duration in months.
This leads to a depreciation end set at the end of a week.
Example 3
Depreciation start date: 15/09/2005 (the first day of the 1st week in 09/05 is 05/09/2005)
Duration: 5 years
Depreciation end date: 29/08/2010
Is active at the level of the context of depreciation.
A prorata temporis applies in the following cases:
The depreciation charge of the 1st fiscal year is equal to:
Depreciable value * rate * prorata temporis
A prorata temporis in months or in weeks is applied in the following cases:
The depreciation charge of the next fiscal years is equal to:
If the result of this calculation is larger than: Net depreciable value at fiscal year start * rate * prorata temporis
A prorata temporis in months or in weeks is applied in the following cases:
If the depreciation end date is earlier than or equal to the fiscal year end date, the fiscal year charge is automatically loaded with the net depreciable value, so as to close the depreciation.
If the fiscal year is divided into several periods, the fiscal year charge is distributed over these periods. This distribution is applied according to the following rule:
Period Charge pc =
( Σ p1 to pc ( (Period weight / Number of months or weeks in the period) * Number of holding months or weeks in the period )
/
Σ p1 to pc ( (Period weight / Number of months or weeks in the period) * Number of holding months or weeks in the period ) )
-
Depreciation total of previous periods
p1 to pc = from the 1st holding period in the fiscal year to the current period included (1)
p1 to pf = from the 1st holding period in the fiscal year to the last holding period in the fiscal year
(1) Unless the asset is issued in the fiscal year before this current period or if it is completely depreciated in the fiscal year before this current period. The minimum period is retained retained if it is one of the following: