# DEPRSOYD

The DEPRSOYD function calculates the depreciation expenses for a series of assets. DEPRSOYD uses the sum-of-years'-digits method, as described in "Calculation Method Used by DEPRSOYD", to depreciate the assets over the specified lifetime of the assets. The starting and ending values are specified for the assets acquired in each time period.

Return Value

DECIMAL, dimensioned by all the dimensions of start-exp.

Syntax

DEPRSOYD(start-exp end-exp n [STATUS] [{FULL|HALF| portion-exp} [time-dimension]])

Parameters

start-exp

A numeric expression that contains the starting values of the assets. The start-exp expression must be dimensioned by a time dimension. For each value of the time dimension, start-exp contains the initial value of the assets acquired during that time period. In addition to a time dimension, start-exp can also have non-time dimensions.

end-exp

A numeric expression that contains the ending values of the assets. The end-exp expression must be dimensioned by the same dimensions as start-exp. For each value of the time dimension, end-exp contains the final (or salvage) value for the assets acquired during that time period. Each value of start-exp must have a corresponding end-exp value. For example, when the assets acquired in 1995 have a salvage value of \$200, then the value of end-exp for 1995 is \$200.

n

An `INTEGER` expression that contains the depreciation lifetime of the assets. The n expression can have any of the non-time dimensions of start-exp, but it cannot have a time dimension.

STATUS

Specifies that DEPRSOYD should use the current status list (that is, only the dimension values currently in status in their current status order) when computing the depreciation expenses. By default DEPRSOYD uses the default status list.

FULL

(Default) Specifies that the full amount of a time period's depreciation expense is charged to the time period in which assets were acquired. Charges the full amount to all of the assets in the series.

HALF

Specifies that half of the full amount of a time period's depreciation expense is charged to the time period in which assets were acquired. Charges half the full amount to all of the assets in the series. When you specify HALF as the portion of depreciation expenses to charge to the period of acquisition, the HALF factor is applied to each period. Half of each period's full depreciation expense is rolled to the next period, and the final half period of depreciation expense takes place in the n + 1 time period. You might want to use HALF when assets are acquired during the second half of the time period.

portion-exp

When you want to charge the full amount for some assets and half the amount for other assets, you can supply a portion-exp expression that is dimensioned by any of the non-time dimensions of start-exp. The portion-exp expression must be a text expression with values of FULL or HALF.

time-dimension

The name of the time dimension by which start-exp and end-exp are dimensioned.When the time dimension has a type of DAY, WEEK, MONTH, QUARTER, or YEAR, the time-dimension argument is optional.

Usage Notes

Calculation Method Used by DEPRSOYD

DEPRSOYD calculates the depreciation expense for a given time period as the sum of that period's depreciation expenses for all assets in the series that are not yet fully depreciated. The first period of depreciation for an asset is the period in which it was acquired.

For each time period in the lifetime of an asset, DEPRSOYD bases the depreciation expense calculation on a specific cut of the total amount to be depreciated. The value of the cut is such that the full depreciation expense can be achieved over the lifetime of an asset by multiplying the cut by the number of time periods not yet depreciated.

For example, when the lifetime of an asset is 5 years, then DEPRSOYD calculates the cut, x, as follows.

```5x + 4x + 3x + 2x + 1x = total depreciation
```

In this case, the cut is 1/15th of the total depreciation. When the initial asset is \$1,000 and its salvage value is \$100, then the total depreciation is \$900.00, and x is \$60 (\$900/15). For the first time period, the depreciation is \$300 (\$60 x 5). For the second time period, the depreciation is \$240 (\$60 x 4) and so on.

DEPRSOYD and NA Values

When a value of start-exp is `NA` and the corresponding value of end-exp is not `NA`, an error occurs. Similarly, when a value of end-exp is `NA` and the corresponding value of start-exp is not `NA`, an error occurs.

DEPRSOYD is affected by the NASKIP option when a value of start-exp and the corresponding value of end-exp are both `NA`. When NASKIP is `YES` (the default), DEPRSOYD treats the values as zeros when calculating the depreciation expenses. When NASKIP is `NO`, DEPRSOYD returns `NA` for all affected time periods.

Examples

Example 7-73 Using DEPRSOYD to Calculate Depreciation Expenses for Assets Acquired in a Single Period

This example shows how to use DEPRSOYD to calculate depreciation expenses for assets acquired in a single time period.

The following statements create two variables called `assets` and `salvage`.

```DEFINE assets DECIMAL <year>
DEFINE salvage DECIMAL <year>
```

Suppose you assign the following values to the variables `assets` and `salvage`.

```YEAR               ASSETS    SALVAGE
-------------- ---------- ----------
Yr95             1,000.00     100.00
Yr96                 0.00       0.00
Yr97                 0.00       0.00
Yr98                 0.00       0.00
Yr99                 0.00       0.00
Yr00                 0.00       0.00
```

The variable `assets` contains the starting value of assets acquired in 1995. The variable `salvage` contains the ending value of the assets acquired in 1995.

The following statement reports the values of `assets` and `salvage`, and uses DEPRSOYD to calculate depreciation expenses for each year, specifying an asset lifetime of 5 years.

```REPORT assets salvage W 12 HEADING 'Depreciation' -
DEPRSOYD(assets salvage 5 FULL year)
```

This statement produces the following report.

```YEAR               ASSETS    SALVAGE Depreciation
-------------- ---------- ---------- ------------
Yr95             1,000.00     100.00       380.00
Yr96                 0.00       0.00       240.00
Yr97                 0.00       0.00       180.00
Yr98                 0.00       0.00       120.00
Yr99                 0.00       0.00        60.00
Yr00                 0.00       0.00         0.00
```

Example 7-74 Using DEPRSOYD to Calculate the Depreciation Expenses for Assets Acquired in Multiple Periods

You can also use DEPRSOYD to calculate the depreciation expenses for a series of assets. Suppose you change the values for the year 1997 in the variables `assets` and `salvage` to the values shown in the following report.

```YEAR             ASSETS    SALVAGE
-------------- ---------- ----------
Yr95             1,000.00     100.00
Yr96                 0.00       0.00
Yr97               500.00      50.00
Yr98                 0.00       0.00
Yr99                 0.00       0.00
Yr00                 0.00       0.00
Yr01                 0.00       0.00
Yr02                 0.00       0.00
```

Now `assets` and `salvage` contain nonzero values for 1995 and for 1997.

The following statement reports asset and salvage values along with depreciation expenses for the assets. Note that the call to DEPRSOYD to calculate the depreciation expenses specifies an asset lifetime of 5 periods (in this case, years).

```REPORT assets salvage W 12 HEADING 'Depreciation' -
DEPRSOYD(assets salvage 5 FULL year)
```

This statement produces the following output.

```YEAR             ASSETS    SALVAGE   Depreciation
-------------- ---------- ---------- ------------
Yr95             1,000.00     100.00       300.00
Yr96                 0.00       0.00       240.00
Yr97               500.00      50.00       330.00
Yr98                 0.00       0.00       240.00
Yr99                 0.00       0.00       160.00
Yr00                 0.00       0.00        60.00
Yr01                 0.00       0.00        30.00
Yr02                 0.00       0.00         0.00
```

Notice that as a result of the second asset, the depreciation expenses increase in 1997. The depreciation is the total depreciation of \$180.00 (`\$60` `x` `3`) for the first asset and \$150.00 (`\$30` `x` `5`) for the second asset.