Returns the depreciation of an asset for a given year using the sum-of-years'-digits method.

SYD(originalcost, salvagevalue, lifetime, year)

originalcost: the initial cost of the asset.

salvagevalue: is the value at the end of the depreciation (sometimes called the salvage value of the asset).

lifetime: the number of years over which the asset is being depreciated.

year: the year number for which the depreciation is calculated.

To calculate depreciation, SYD adds the year numbers during the asset’s life; the year numbers taken backward and divided by that sum give the proportion of the total loss of value to assign to depreciation that year.

For example with a 4 year depreciation, where the asset loses 5000 in value: the sum of the year numbers is 1 + 2 + 3 + 4 = 10, and the depreciation each year (in order) is 4/10ths, 3/10ths, 2/10ths then 1/10th of 5000.

The formula for a year's depreciation is

(originalcost - salvagevalue)*(lifetime+1 - year)*2 / [(lifetime+1)*lifetime]

SYD(10000, 2000, 4, 1)

returns 3200 in currency units, which is the depreciation in the first year for an asset which cost 10000 and is written down to 2000 over 4 years. The total loss of value is 8000; 3200 is 4/10ths of this.

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