Sum of the Years' Digits Method an accelerated method of depreciation which is also based on the assumption that the loss in the value of the fixed asset will be greater during the earlier years and will go on decreasing gradually with the decrease in the life of such asset. The SYD is found by estimating an asset's useful life in years, then assessing consecutive numbers to each year, and totaling these numbers. For n years:
SYD = 1 + 2 + 3 + 4 + ...... + n
For example if the useful life of an asset is 5 years, the SYD would be 1 + 2 + 3 + 4 + 5 = 15. Determining the SYD factor by simple addition can be somewhat laborious for long-lived assets. For these assets the formula n (n + 1) / 2 where n = the number of periods in the asset's useful life can be applied to derive the SYD. In our example, we have:5(5 + 1) = 30
2 2
= 1 5
SYD = 1 + 2 + 3 + 4 + ...... + n
For example if the useful life of an asset is 5 years, the SYD would be 1 + 2 + 3 + 4 + 5 = 15. Determining the SYD factor by simple addition can be somewhat laborious for long-lived assets. For these assets the formula n (n + 1) / 2 where n = the number of periods in the asset's useful life can be applied to derive the SYD. In our example, we have:5(5 + 1) = 30
2 2
= 1 5