Working with appreciation and depreciationAppreciation

Appreciation, depreciation and compound interest can all be calculated using the multiplier method.

Part ofMathsNumerical skills

Appreciation

Appreciation refers to when the value of something increases over time.

The value of a house usually increases with time. Therefore its value is said to appreciate.

Example

A flat bought for £74 000 in 2008 appreciated in value each year by 1.5%.

Calculate the value of the house after four years.

We can use the multiplier method.

The multiplier is 1 + (1.5% of 1). This is 1+0.015 which is 1.015.

We multiply 74000 by this 4 times.

\({(1.015)^4} \times \pounds74\,000\)

\(= \pounds78\,540.90\)

The value of the flat after four years is £78 540.90

(Another way of doing this is to calculate 1.5% of the value and add it on. We would repeat this until we had done it 4 times).