Calculating Break Even Point with Depreciation
The break even point is the point at which total revenue equals total costs, including depreciation. Calculating this with depreciation requires understanding both accounting principles and financial mathematics.
What is Break Even Point?
The break even point is the sales volume at which a company's total revenue equals its total costs. This is a critical financial metric that helps businesses understand how many units they need to sell to cover all expenses and start making a profit.
When calculating break even with depreciation, we account for the systematic reduction in the value of an asset over time. This is particularly important for businesses that own physical assets like machinery or buildings.
The Formula
The basic break even point formula is:
When including depreciation, the formula becomes more complex because we need to account for the time value of money and the asset's useful life.
(Fixed Costs + Depreciation Expense) / (Selling Price per Unit - Variable Cost per Unit)
Where depreciation expense is calculated as:
How Depreciation Affects Break Even
Depreciation represents the allocation of the cost of a tangible asset over its useful life. This affects the break even calculation because it increases the total costs that must be covered by revenue.
For example, a company purchasing equipment for $10,000 with a salvage value of $1,000 and a useful life of 5 years would have annual depreciation of $1,800 ($9,000 / 5). This $1,800 must be covered by revenue each year.
Note: Depreciation methods can vary (straight-line, declining balance, etc.), but straight-line is most commonly used for break even calculations unless specified otherwise.
Worked Example
Let's calculate the break even point for a company with the following details:
| Item | Value |
|---|---|
| Fixed Costs | $50,000 |
| Variable Cost per Unit | $20 |
| Selling Price per Unit | $40 |
| Asset Cost | $10,000 |
| Salvage Value | $1,000 |
| Useful Life (years) | 5 |
First, calculate annual depreciation:
Now, calculate the break even point:
This means the company needs to sell 2,590 units to cover all costs including depreciation.