Accounting & FinanceLevel: Intermediate

Comparing Depreciation Methods: Straight-Line and Reducing Balance

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Problem Statement / Assignment Scope

A business buys a machine for £80,000. It expects to use it for 4 years and then sell it for £8,000. Prepare the depreciation schedule under the straight-line method and the double declining balance method.

Prerequisites: Capitalising a non-current asset, useful life and residual value.

Step-by-Step Worked Solution

1. Straight-line

(Cost − residual value) / useful life = (£80,000 − £8,000) / 4 = £18,000 a year, so the carrying amount falls to £62,000, £44,000, £26,000 and finally £8,000.

2. Double declining balance

Straight-line rate = 1/4 = 25%, doubled = 50%, applied to the carrying amount at the start of each year. Residual value is ignored in the rate but sets a floor.

  • Year 1: £80,000 × 50% = £40,000, leaving £40,000.
  • Year 2: £40,000 × 50% = £20,000, leaving £20,000.
  • Year 3: £20,000 × 50% = £10,000, leaving £10,000.
  • Year 4: 50% would be £5,000, but that would take the machine below its £8,000 residual value, so the charge is limited to £2,000.

Both methods charge £72,000 in total. The declining balance method simply charges more of it in the early years.

Key Takeaways & Core Principles

  • Straight-line deducts residual value first; declining balance ignores it in the rate but never goes below it.
  • Both methods depreciate the same total amount over the asset's life.
  • Front-loaded depreciation suits assets that lose value or usefulness quickly.
  • Under IAS 16, choose the method that reflects how the asset's benefits are used up.

Frequently Asked Questions

What happens when the carrying amount reaches residual value?

Depreciation stops. An asset isn't depreciated below its estimated residual value, so the last year's charge is often smaller, as in year 4 above.

Academic References & Standards

  • [1]IASB. (2023). IAS 16: Property, Plant and Equipment. Source Link
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