Types of Depreciation and how to do it
โ 1. Straight Line Method (SLM)
๐ Definition:
This is the simplest and most commonly used method. The asset depreciates by the same amount each year.
๐งฎ Formula:
$$ \text{Annual Depreciation} = \frac{\text{Cost of Asset} - \text{Salvage Value}}{\text{Useful Life}} $$- Cost of Asset: Initial purchase price.
- Salvage Value: Estimated value at the end of the assetโs useful life.
- Useful Life: Expected number of years the asset will be used.
๐ Example:
If a machine costs $10,000, has a salvage value of $2,000, and a useful life of 5 years:
$$ \text{Depreciation} = \frac{10,000 - 2,000}{5} = \frac{8,000}{5} = \$1,600 \text{ per year} $$๐ก Advantages:
- Simple to calculate.
- Provides consistent expense each year.
โ ๏ธ Disadvantages:
- Doesnโt reflect the actual usage pattern of the asset.
โ 2. Written Down Value Method (WDV) / Reducing Balance Method
๐ Definition:
Under this method, depreciation is calculated on the book value (original cost minus accumulated depreciation) of the asset each year. The rate is usually higher in the early years and decreases over time.
๐งฎ Formula:
$$ \text{Annual Depreciation} = \text{Book Value} \times \text{Depreciation Rate} $$๐ Example:
A machine costs $10,000, with a depreciation rate of 20% per annum.
| Year | Book Value | Depreciation | Accumulated Depreciation | Net Book Value |
|---|---|---|---|---|
| 1 | $10,000 | $2,000 | $2,000 | $8,000 |
| 2 | $8,000 | $1,600 | $3,600 | $6,400 |
| 3 | $6,400 | $1,280 | $4,880 | $5,120 |
๐ก Advantages:
- Reflects the fact that assets lose more value early in their life.
- Matches revenue with expenses better for tax purposes.
โ ๏ธ Disadvantages:
- Not suitable for all types of assets (e.g., land).
โ 3. Units of Production Method
๐ Definition:
Depreciation is based on the actual usage of the asset rather than time.
๐งฎ Formula:
$$ \text{Depreciation per Unit} = \frac{\text{Cost of Asset} - \text{Salvage Value}}{\text{Total Estimated Units}} $$$$ \text{Annual Depreciation} = \text{Depreciation per Unit} \times \text{Units Produced} $$๐ Example:
Machine costs $10,000, salvage value $1,000, estimated production: 9,000 units.
$$ \text{Depreciation per unit} = \frac{10,000 - 1,000}{9,000} = \frac{9,000}{9,000} = \$1 \text{ per unit} $$If 1,000 units are produced in a year:
$$ \text{Depreciation} = 1,000 \times 1 = \$1,000 $$๐ก Advantages:
- Accurate when usage varies significantly from year to year.
โ ๏ธ Disadvantages:
- Requires accurate estimates of total units.
โ 4. Double Declining Balance Method (DDB)
๐ Definition:
An accelerated depreciation method where the depreciation rate is double the straight-line rate.
๐งฎ Formula:
$$ \text{Depreciation Rate} = \frac{2}{\text{Useful Life}} \times 100 $$Then apply it to the book value each year.
๐ Example:
Asset costs $10,000, useful life 5 years.
$$ \text{Rate} = \frac{2}{5} = 40\% $$| Year | Book Value | Depreciation | Accumulated Depreciation | Net Book Value |
|---|---|---|---|---|
| 1 | $10,000 | $4,000 | $4,000 | $6,000 |
| 2 | $6,000 | $2,400 | $6,400 | $3,600 |
| 3 | $3,600 | $1,440 | $7,840 | $2,160 |
๐ก Advantages:
- Useful for assets that lose value quickly.
โ ๏ธ Disadvantages:
- Can result in negative book value if not adjusted.
โ 5. Sum of Yearsโ Digits Method (SYD)
๐ Definition:
Another accelerated method where depreciation is based on the sum of the digits of the asset’s useful life.
๐งฎ Formula:
$$ \text{Depreciation} = \left( \frac{\text{Remaining Useful Life}}{\text{Sum of Years' Digits}} \right) \times (\text{Cost} - \text{Salvage Value}) $$๐ Example:
Asset costs $10,000, salvage $1,000, useful life 5 years.
Sum of years = 1 + 2 + 3 + 4 + 5 = 15
| Year | Remaining Life | Depreciation | Accumulated Depreciation | Net Book Value |
|---|---|---|---|---|
| 1 | 5 | $3,000 | $3,000 | $7,000 |
| 2 | 4 | $2,400 | $5,400 | $4,600 |
| 3 | 3 | $1,800 | $7,200 | $2,800 |
| 4 | 2 | $1,200 | $8,400 | $1,600 |
| 5 | 1 | $600 | $9,000 | $1,000 |
๐ก Advantages:
- Accelerated depreciation, similar to DDB.
โ ๏ธ Disadvantages:
- More complex calculations.
๐ Summary Table: Types of Depreciation Methods
| Method | Description | Best For |
|---|---|---|
| Straight Line | Same depreciation every year | Assets with even usage |
| Written Down Value | Depreciation based on book value | Assets that lose value fast |
| Units of Production | Based on actual usage | Machinery, equipment, etc. |
| Double Declining | Double the straight-line rate | Assets that depreciate faster |
| Sum of Yearsโ Digits | Accelerated depreciation | Assets with high initial value |
๐ Choosing the Right Method
The choice of depreciation method depends on:
- Nature of the asset
- Tax regulations
- Accounting standards (e.g., IFRS, GAAP)
- Management preferences
Let me know if you want help calculating depreciation using any specific method or for a particular asset!