What Is the High-Low Method? A Complete Guide to Cost Estimation
The high-low method is a straightforward yet widely used technique in cost accounting to estimate the relationship between costs and activity levels. Even so, it helps businesses separate fixed costs and variable costs from a mixed cost figure, enabling better budgeting and decision-making. This method is particularly useful for managers who need a quick approximation of cost behavior without relying on complex statistical tools. By analyzing the highest and lowest levels of activity within a given period, the high-low method provides a simplified model for predicting future costs based on production or activity volume Simple, but easy to overlook..
How Does the High-Low Method Work?
The high-low method is based on the assumption that costs are composed of two components: fixed costs (which remain constant regardless of activity) and variable costs (which change in proportion to activity). That said, to apply the method, you need two data points: the total cost at the highest activity level and the total cost at the lowest activity level during a specific period. These points are used to calculate the variable cost per unit and the total fixed costs, which can then be used to build a cost equation.
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Key Assumptions of the High-Low Method
- Linearity: The method assumes that costs increase and decrease in a linear fashion with changes in activity levels.
- Consistency: It assumes that the relationship between cost and activity remains consistent between the high and low points.
- Exclusivity: The method isolates the effects of activity level on cost, ignoring other potential influencing factors.
While these assumptions simplify the process, they also contribute to potential limitations in accuracy, which will be discussed later Most people skip this — try not to..
Steps to Apply the High-Low Method
Step 1: Identify the Highest and Lowest Activity Levels
Select the periods with the highest and lowest levels of activity (e.g.Which means , units produced, machine hours, or labor hours). see to it that the total costs for these periods are also available.
Step 2: Calculate the Variable Cost per Unit
Use the formula:
[ \text{Variable Cost per Unit} = \frac{\text{Cost at Highest Activity} - \text{Cost at Lowest Activity}}{\text{Highest Activity Level} - \text{Lowest Activity Level}} ]
This gives you the variable cost per unit, which represents the cost that changes with each unit of activity.
Step 3: Compute Fixed Costs
Once the variable cost per unit is known, calculate the fixed cost using either the highest or lowest activity level:
[ \text{Fixed Cost} = \text{Total Cost} - (\text{Variable Cost per Unit} \times \text{Activity Level}) ]
Step 4: Build the Cost Equation
Combine the fixed and variable costs into a cost equation:
[ \text{Total Cost} = \text{Fixed Cost} + (\text{Variable Cost per Unit} \times \text{Activity Level}) ]
This equation can then be used to estimate costs at different activity levels.
Example of the High-Low Method
Let’s walk through an example to illustrate how the high-low method works. Suppose a company, ABC Manufacturing, has the following data for the past quarter:
| Month | Units Produced | Total Cost ($) |
|---|---|---|
| January | 800 | 12,000 |
| February | 1,200 | 16,800 |
| March | 1,000 | 14,500 |
| April | 1,500 | 21,000 |
Step 1: Identify the Highest and Lowest Activity Levels
- Highest Activity Level: April (1,500 units, $21,000 cost)
- Lowest Activity Level: January (800 units, $12,000 cost)
Step 2: Calculate Variable Cost per Unit
[ \text{Variable Cost per Unit} = \frac{21,000 - 12,000}{1,500 - 800} = \frac{9,000}{700} \approx $12.86 \text{ per unit} ]