# Documentation/Calc Functions/SYD

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## Function name:

SYD

## Category:

Financial Analysis

## Summary:

Calculates the amount of depreciation at a given period of time using the Sum-of-the-Years'-Digits method.

## Syntax:

SYD(**Cost**; **Salvage**; **Life**; **Period**)

## Returns:

Returns a real number (in currency units) which is the arithmetic-declining depreciation rate for some inital **Cost** with final value as **Salvage** for a lifetime value as **Life** calculating for a certain **Period**.

## Arguments:

**Cost** is a real number or a reference to the cell containing that number which is the initial cost of an asset.

**Salvage** is a real number or a reference to the cell containing that number which is the value of an asset after depreciation.

**Life** is a real number or a reference to the cell containing that number which is the period fixing the time span over which an asset is depreciated.

**Period** is a real number or a reference to the cell containing that number which defines the period for which the depreciation is to be calculated.

- If
**Life**is equal to 0 then the function returns a numeric (#NUM!) error.

## Additional details:

- Use this function to calculate the depreciation amount for one period of the total depreciation span of an object. Arithmetic declining depreciation reduces the depreciation amount from period to period by a fixed sum.
- The formula for SYD is:

## Examples:

Formula | Description | Returns |
---|---|---|

=SYD(50000;10000;5;1) | A video system initially costing 50,000 currency units is to be depreciated annually for the next 5 years. The salvage value is to be 10,000 currency units. The function calculates the depreciation for the first year. | 13,333.33 (currency units) |

To have an overview of depreciation rates per period, it is best to define a depreciation table. By entering the different depreciation formulas available in LibreOffice Calc next to each other, you can see which depreciation form is the most appropriate. Enter the table as follows:

A | B | C | D | E | F | |
---|---|---|---|---|---|---|

1 | Initial Cost (in currency units) | Salvage Value (in currency units) | Useful Life | Formula | Time Period | Deprec. SYD (in currency units) |

2 | 50000 | 10000 | 5 | =SYD(50000;10000;5;1) | 1 | 13,333.33 |

3 | =SYD(A2;B2;C2;E3) | 2 | 10,666.67 | |||

4 | =SYD(A2;B2;C2;E4) | 3 | 8,000.00 | |||

5 | =SYD(A2;B2;C2;E5) | 4 | 5,333.33 | |||

6 | =SYD(A2;B2;C2;E6) | 5 | 2,666.67 | |||

7 | =SYD(A2;B2;C2;E7) | 6 | 0.00 | |||

8 | =SYD(A2;B2;C2;E8) | 7 | -2,666.67 | |||

9 | =SYD(A2;B2;C2;E9) | 8 | -5,333.33 | |||

10 | =SYD(A2;B2;C2;E10) | 9 | -8,000.00 | |||

11 | =SYD(A2;B2;C2;E11) | 10 | -10,666.67 | |||

12 | ||||||

13 | >0 | Total | 40,000.00 currency units |

The formula for the F column is as mentioned in the D column. This formula is duplicated in column F down to F11 (select F2, then drag down the lower right corner with the mouse). Cell F13 contains the formula used to check the total of the depreciation amounts. It uses the SUMIF function as the negative values in F8:F11 must not be considered. The condition >0 is contained in cell A13. The formula in E13 is as follows:

=SUMIF(F2:F11;A13)

Now view the depreciation for a 10 year period, or at a salvage value of 1 currency unit, or enter a different initial cost, and so on.

## Related LibreOffice functions:

## ODF standard:

## Equivalent Excel functions:

SYD