Depreciation
What is meant by depreciation?
- Depreciation is where an item loses value over time
- For example: cars, game consoles, etc
- Depreciation is usually calculated as a percentage decrease at the end of each year
- This works the same as compound interest but with a percentage decrease
How do I calculate with depreciation?
- You would calculate the new value after depreciation using the same method as compound interest
- Identify the multiplier (100 - % as a decimal)
- 10% depreciation would have a multiplier of 0.9
- 1% depreciation would have a multiplier of 0.99
- Raise the multiply to the power of the number of years (or months etc)
- Multiply by the starting value
- Identify the multiplier (100 - % as a decimal)
- New value is
- A is the starting value
- m is the multiplier for the depreciation
- n is the number of years
- If you are asked to find the amount the value has depreciated by:
- Find the difference between the starting value and the new value
Worked Example
Mercy buys a car for £20 000. Each year its value depreciates by 15%.
Find the value of the car after 3 full years.
Identify the multiplier
100% - 15% = 85%
m = 0.85
Raise to the power of number of years
0.853
Multiply by the starting value
£20 000 × 0.853
= £12 282.50