Sum of the Years Digits (SOYD) Depreciation Calculator

Sum of the Years Digits (SOYD) Depreciation Calculator Image to Crop

Enter what you know below

An asset (A) has a value of 10000
with a salvage value (S) of 1000 at time (n) = 5

Calculate the depreciation charge (D_t)
and Book Value (BV_t) at time = 2
using the SOYD Method:

Calculate Sum of the First 5 Integers

Σ 1^st 5 integers =	n(n + 1)
	2

Σ 1^st 5 integers =	5(5 + 1)
	2

Σ 1^st 5 integers =	5 * 6
	2

Σ 1^st 5 integers =	30
	2

Σ 1^st 5 integers =

Depreciation Formula

D_t =	(A - S) * (N - t + 1)
	Σ 1^st n integers

Calculate Depreciation

D₂ =	(10000 - 1000) * (5 - 2 + 1)
	Σ 1^st 5 integers

D₂ =	(9000) * (4)
	15

D₂ =	36000
	15

D₂ = 2400

Excel or Google Sheets formula:

Excel or Google Sheets formula:=SYD(10000,1000,5,2)

Book Value Formula

Sum of the first (n - t) = 5 - 2 = 3 integers:

Σ 1^st 3 integers =	(n - t)(n - t + 1)
	2

Σ 1^st 3 integers =	(5 - 2)(5 - 2 + 1)
	2

Σ 1^st 3 integers =	(3)(4)
	2

Σ 1^st 3 integers =	12
	2

Σ 1^st 3 integers = 6

Calculate Book Value

= S +

Σ first (n - t) integers * (Asset - Salvage)

Σ first n integers

= 1000 +

6 * (10000 - 1000)

= 1000 +

6 * 9000

5400015

B₂ = 1000 + 3600

Book Value History

Time	D_t	B_t
0	0	10000
1	3000	7000
2	2400	4600
3	1800	2800
4	1200	1600
5	600	1000

Final Answer

B₂ = 4600

You have 1 free calculations remaining

What is the Answer?

How does the Sum of the Years Digits (SOYD) Depreciation Calculator work?

Free Sum of the Years Digits (SOYD) Depreciation Calculator - Solves for Depreciation Charge, Asset Value, and Book Value using the Sum of the Years Digits Method
This calculator has 5 inputs.

What 1 formula is used for the Sum of the Years Digits (SOYD) Depreciation Calculator?

D_t = ((A - S) * (N - t + 1))/Σ 1^st n integers

For more math formulas, check out our Formula Dossier

What 6 concepts are covered in the Sum of the Years Digits (SOYD) Depreciation Calculator?

asset: Resources of value in accounting. Land, Equipment, Cash are examples
book value: the value of an asset according to its balance sheet account balance
depreciation: The reduction in value of an asset over time
salvage value: the estimated book value of an asset after depreciation is complete, based on what a company expects to receive in exchange for the asset at the end of its useful life.
sinking fund: a fund formed by periodically setting aside money for the gradual repayment of a debt or replacement of a wasting asset.
sum of the years digits depreciation method: Accelerated deprecation method A higher expense is incurred in the early years and a lower expense in the latter years of the asset&is apos;s useful life