Declining-balance depreciation for one year (DB)

Hard Math Accounting pack
Description
Hints 0/4
Solutions 0
–
Test case
1
Reset
Submit
fx
A
B
C
D
E
F
G
1
2
3
4
5
6
7
8
9
10
Loading interactive spreadsheet...
Preparing grid cells and formula calculation engine
○ Ready Enter formula in highlighted cells, then click Submit.

The problem

Problem statement

The asset's cost, salvage, life and the year to report are in B1:B4. Put that year's declining-balance charge in the Charge cell D2, rounded to a whole unit.

Declining balance charges more in early years and is based on the opening book value, not on cost every time.

Problem data

Show the sheet as a table (selectable, copyable)
The exercise data, as a table
ABD
1Cost12000Charge for that year
2Salvage2000
3Life (years)4
4Year1

Notes

DB(cost, salvage, life, period) derives a rate from cost and salvage and applies it to the opening book value. This is why year one and year two differ while straight-line does not, and why the salvage value still matters even though it is never subtracted directly.

How to approach

Your answer goes in D2.

  1. Target cell is D2
  2. DB takes four arguments: cost, salvage, life, period
  3. The period comes from B4
  4. Shape: =ROUND(DB(?, ?, ?, ?), ?)

Function guide

Related practice

FAQ

How does declining-balance depreciation work?

A rate is derived from cost, salvage and life, then applied to the opening book value each year, so the charge falls over time.

Why is my DB charge not equal to cost × rate?

The rate applies to the book value at the start of the year, not to the original cost. Year two is smaller than year one.