When using the high-low method, fixed costs are calculated after variable costs are determined.

The accountant at an events management company is preparing a payroll budget based on costs from the past year.

Quarter Work hours Cost ($)
1 10,000 300,000
2 15,000 450,000
3 17,000 510,000
4 18,000 540,000

The company approves a 5% pay raise at the start of each year and expects that work hours will be 20,000 for the next quarter considering the new hires. Calculate the payroll budget for the new quarter.

Step 1: Find the highest and lowest activity values from the units (i.e., work hours) and not the total costs:

The highest activity level is 18,000 in Q4, and the lowest activity level is 10,000 in Q1.

Step 2: Adjust the payroll cost with the 5% pay increase:

Payroll for new year’s Q1 = $300,000 * 105% = $315,000

Step 3: Determine the variable cost per unit:

Variable cost per unit = ($540,000 – $315,000) / (18,000 – 10,000) = $28.13 per hour

Step 4: Evaluate the fixed cost:

Fixed cost = $540,000 – ($28.13 * 18,000) = $33,750

Step 5: Calculate the total variable cost for the new quarter:

Total variable cost = $28.13 * 20,000 = $562,600

Step 6: Work out total cost:

Payroll budget = Total cost = fixed cost + variable cost

= $33,750 + $562,000 = $596,350

Therefore, you can estimate the cost-volume model per work hour for the payroll budget as:

Cost model for payroll = $33,750 + $28.13 * x,

where x is the number of work hours.

The high-low method is an accounting technique used to separate out fixed and variable costs in a limited set of data.

It involves taking the highest level of activity and the lowest level of activity and comparing the total costs at each level. If the variable cost is a fixed charge per unit and fixed costs remain the same, it is possible to work out the fixed and variable costs by solving the equations.

However, users must be cautious of the high-low method. While it is easy to apply, it can distort costs and yield more or less accurate results because of its reliance on two extreme values from one data set.

High-low method formula

The high-low method provides a simple way to split fixed and variable components of combined costs using a few formula steps. First you calculate the variable cost component and fixed cost component, then plug the results into the cost model formula.

Variable cost per unit = (Highest activity cost − Lowest activity cost) ÷ (Highest activity units − Lowest activity units)

Once you have the variable cost per unit, you can calculate the fixed cost.

Fixed cost = Highest activity cost − (Variable cost per unit x Highest activity units)

or

Fixed cost − Lowest activity cost − (Variable cost per unit x Lowest activity units)

Then use all the results to calculate the high–low cost using this formula:

High-low cost = Fixed cost + (Variable cost + Unit activity)

High-low method example

Bonnie runs a small car factory in Detroit and needs to know the expected amount of overheads the factory will incur in the next month.

Factory overheads cost for the four months prior were as follows:

Cost

Units

January

£60,000

10,000

February

£40,000

7,500

March

£50,000

6,000

April

£55,000

5,500

Bonnie expects to produce 8,000 units in May.

Step 1: Identify the highest and lowest activity level

The highest activity level is 10,000 units in January (highest activity cost is £60,000)

The lowest activity level is 5,500 units in April (lowest activity cost is £55,000)

Step 2: Calculate the variable cost per unit

Use the formula shown above to work it out:

Variable cost per unit = (£60,000 − £55,000) ÷ (10,000 − 5,500)

Variable cost per unit = £5,000 ÷ 4,500 = £1.11 per unit

Step 3: Calculate the fixed cost

Use the formula shown above to work it out:

Fixed cost = £60,000 − (£1.11 x 10,00) = £48,900

Step 4: Calculate the total variable cost for the new activity

Multiply the variable cost per unit (step 2) by the number of units expected to be produced in May to work out the total variable cost for the month.

Total variable cost = £1.11 x 8,000 = £8,880

Step 5: Calculate the total cost

Now add the fixed cost (step 3) and variable cost for the new activity (step 4) together to get the total cost of overheads for May.

Total cost = £48,900 + £8,880 = £57,780

High-low method limitations

The high-low method does not consider small details such as variation in costs. It assumes that fixed and unit variable costs are constant, which is not always the case in real life.

There are also other cost estimation tools that can provide more accurate results. The least-squares regression method takes into consideration all data points and creates an optimized cost estimate. It can be easily and quickly used to yield significantly better estimates than the high-low method.

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When using the high-low method, fixed costs are calculated after variable costs are determined.

High Low Method (Table of Contents)

  • High Low Method
  • Examples of High Low Method (With Excel Template)

High Low Method

In any business, there is 3 types of cost: Fixed Cost, Variable Cost and Mixed Cost (mix of fixed and variable). So, in a very simple language, the high low method is a method which is used to separate fixed and variable cost from the total cost. It compares the highest level of activity and the lowest level of activity and then compares cost at each level. This is a very important concept in cost accounting and is very is useful in determining fixed and variable costs related to the product, machinery, etc. and also used in budgeting activities. It is a very simple method to analyze the cost without getting into any complex calculations.

Formula For High Low Method:

In the high low method, we start with determining variable cost first. The formula for variable cost in this method is given by:

Variable Cost Per Unit = (Highest Activity Cost – Lowest Activity Cost) / (Highest Activity Units – Lowest Activity Units)

Once we have arrived at variable cost, we can find the total variable cost for both the activities and subtract that value from the corresponding total cost to find a fixed cost.

Fixed Cost = Highest Activity Cost – (Variable Cost Per Units * Highest Activity Units)

Or

Fixed Cost = Lowest Activity Cost – (Variable Cost Per Units * Lowest Activity Units)

Let’s take an example to understand the calculation of the High Low Method in a better manner.

High Low Method – Example #1

Let say you have a small business and you sell burgers. For the last 12 months, you have noted down what was the monthly cost and what was the number of burgers sold in the corresponding month. Now you want to use a high low method to segregate fixed and variable cost.

Data Table:

When using the high-low method, fixed costs are calculated after variable costs are determined.

Determine the highest and lowest activity point. So the highest activity happened in the month of April and the lowest is in the month of October.

When using the high-low method, fixed costs are calculated after variable costs are determined.

Variable Cost Per Unit is calculated using the formula given below

Variable Cost Per Unit = (Highest Activity Cost – Lowest Activity Cost) / (Highest Activity Units – Lowest Activity Units)

When using the high-low method, fixed costs are calculated after variable costs are determined.

  • Variable Cost Per Unit = ($5,800 – $3,210) / (190 – 78)
  • Variable Cost Per Unit = $23.125

For the Highest Activity

Fixed Cost is calculated using the formula given below

Fixed Cost = Highest Activity Cost – (Variable Cost Per Units * Highest Activity Units)

When using the high-low method, fixed costs are calculated after variable costs are determined.

  • Fixed Cost = $5,800 – ($23.125 * 190)
  • Fixed Cost = $1,406.25

For the Lowest Activity

Fixed Cost is calculated using the formula given below

Fixed Cost = Lowest Activity Cost – (Variable Cost Per Units * Lowest Activity Units)

When using the high-low method, fixed costs are calculated after variable costs are determined.

  • Fixed cost = $3,210– ($23.125 * 78)
  • Fixed Cost = $1,406.25

So basically Total cost equation is given by = 23.125x + 1406.25

Where x is the number of burgers sold in a particular month.

Since you have the total cost equation now, you can use this to calculate your cost any month.

High Low Method – Example #2

Let say you are a manager of a hotel and you are really concerned about the cost of which hotel is incurring and you want to derive a model to predict future cost, based on historical cost. You have collected data for the last 10 months and wants to see the cost for the next 2 months.

Data Table:

When using the high-low method, fixed costs are calculated after variable costs are determined.

Determine the highest and lowest activity point. So the highest activity happened in the month of Jun and the lowest is in the month of March.

When using the high-low method, fixed costs are calculated after variable costs are determined.

Variable Cost Per Unit is calculated using the formula given below

Variable Cost Per Unit = (Highest Activity Cost – Lowest Activity Cost) / (Highest Activity Units – Lowest Activity Units)

When using the high-low method, fixed costs are calculated after variable costs are determined.

  • Variable Cost Per Unit = ($3,769,000 – $960,000) / (4210 – 990)
  • Variable Cost Per Unit = $872.36 per unit

For the Highest Activity

Fixed Cost is calculated using the formula given below

Fixed Cost = Highest Activity Cost – (Variable Cost Per Units * Highest Activity Units)

When using the high-low method, fixed costs are calculated after variable costs are determined.

  • Fixed Cost = $3,769,000 – ($872.36 * 4210)
  • Fixed Cost = $96,363.35

For the Lowest Activity

Fixed Cost is calculated using the formula given below

Fixed Cost = Lowest Activity Cost – (Variable Cost Per Units * Lowest Activity Units)

When using the high-low method, fixed costs are calculated after variable costs are determined.

  • Fixed cost = $960,000 – ($872.36 * 990)
  • Fixed Cost = $96,363.35

Calculation of Total Cost

Total Cost = (Variable Cost Per Unit * x) + Fixed Cost

Where x is the number of guests in a particular month.

So, For Nov Month Total Cost is calculated as:

When using the high-low method, fixed costs are calculated after variable costs are determined.

The result will be as given below.

When using the high-low method, fixed costs are calculated after variable costs are determined.

  • Total Cost = ($872.36 * 4200) + $96,363.35
  • Total Cost = $3,760,276

Similarly For Dec Month Total Cost is calculated as:

When using the high-low method, fixed costs are calculated after variable costs are determined.

  • Total Cost = ($872.36 * 3290) + $96,363.35
  • Total Cost = $2,966,429

Explanation

Although the high low method is easy to calculate and helps us in forecasting future costs, it is not very commonly used because it has certain limitations:

  • The first limitation is that this method assumes that there is a linear relationship between cost and activity which is not the case always.
  • Secondly, it only assumes 2 activity levels and is not the correct representation of the entire data set.
  • If there are changes in fixed or variable cost with time, this method does not capture that.

Because of all those limitations, this method is not effective in producing accurate and precise results.

Relevance and Uses of High Low Method

As discussed above, the high low method is very simple, easy to understand and very easy to quickly work around. No complex tools or programming is required to use a high low method. But there are a set of limitations associated with it which reduce the practical application of this tool. We should be really careful while using this tool because it is more prone to give inaccurate results. Reason for that is really simple. Cost is affected by various elements and cannot be effectively predicted using only two variables. Also, after a certain level of production, we need more fixed investment and it is not captured in this model. So one should be really careful using this method.

This has been a guide to the High Low Method. Here we discuss how to calculate the variable cost and fixed cost using a high low method with examples and a downloadable excel template. You may also look at the following articles to learn more –