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High-low method

High-low method separates a mixed cost into fixed and variable components using only two observations: the period with the highest activity and the period with the lowest.

Also known ashigh low

ByHoang TruongUpdated

See it move

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A scatter chart plots cost in euros against activity measured in dispatches, with a straight line drawn through only the two extreme data points: the high point at 4,000 dispatches costing €2,600 and the low point at 1,000 dispatches costing €1,100. The slope — (€2,600 − €1,100) ÷ (4,000 − 1,000) — gives a variable rate of €0.50 per dispatch, and the y-intercept of €600 represents the fixed component. All observations between the two extremes are ignored by the method.

Where it fits
SubjectCost AccountingAdvancedTopicCost Behaviour & EstimationAdvanced

The formula

LaTeX
Variable rate=Cost at highest activityCost at lowest activityHighest activityLowest activity\text{Variable rate} = \frac{\text{Cost at highest activity} - \text{Cost at lowest activity}}{\text{Highest activity} - \text{Lowest activity}}

Variables

Estimated variable cost per unit of activity (€ per unit of activity)
LaTeX
Fixed cost=Total cost at either point(Variable rate×Activity at that point)\text{Fixed cost} = \text{Total cost at either point} - (\text{Variable rate} \times \text{Activity at that point})

Variables

Constant cost component, unchanged within the relevant range ()
LaTeX
Total cost=Fixed cost+(Variable rate×Activity level)\text{Total cost} = \text{Fixed cost} + (\text{Variable rate} \times \text{Activity level})

Variables

Volume of activity (e.g. units, machine-hours, dispatches) (units)

The estimated mixed-cost function derived from the two data points.

Check yourself

PracticeCORE

A service centre records the following monthly data: September (the busiest month) had 1,800 service calls and total costs of €14,400; February (the quietest month) had 600 service calls and total costs of €6,000. Using the high-low method, what is the estimated monthly fixed cost?

Select an answer to check your understanding.