## Depreciation

If you have a company which has equipment, such as cars, that equipment will be worth less and less over the years as it gets older – this is depreciation.  There are a number of ways of treating how the equipment loses value.

### Straight-line depreciation

This is where you treat the equipment as losing a fixed amount of value each year.

For instance, a car worth \$20000 might lose \$1000 value every year.

A plot of an item’s value versus time for this type of depreciation would be a straight line – hence the name.

### Diminishing-value method

This is where you treat the equipment as losing a fraction of its current worth every year.  This means that the equipment loses value most quickly when it is new, and more slowly later in its life.

For instance a car worth \$20000 might lose 10% of its current value every year:

·         After one year it is worth \$18000 – it lost 10% of \$20000.

·         After two years it is worth \$16200 – it lost 10% of \$18000.

·         After three years it is worth \$14580 and so on…

The formula for working out how much something is worth after a certain number of years by this method is:

·         ‘A’ = its worth after ‘n’ rests

·         ‘i’ is the fraction of its value it loses each time period

·         ‘P’ is what it is worth at the start.

### Scrap value

A lot of equipment can be sold as scrap even after it is no longer useful.  The relevance of this is that a \$20000 car, when it is finally retired, can still be sold as scrap for say \$4000, which means that only \$16000 is needed to replace it with a new car.