What Is the High-Low Method?

In cost accounting, the high-low method is a way of attempting to separate out fixed and variable costs given a limited amount of data. The high-low method 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 determine the fixed and variable costs by solving the system of equations. It is worth being cautious when using the High-Low Method, however, as it can yield more or less accurate results depending on the distribution of values between the highest and lowest dollar amounts or quantities.

Understanding the High-Low Method

Calculating the outcome for the high-low method requires a few formula steps. First, you must calculate the variable cost component and then the fixed cost component, and then plug the results into the cost model formula.

First, determine the variable cost component:

Variable聽Cost=HACLowest聽Activity聽CostHAnba腾讯体育直播Lowest聽Activity聽Unitswhere:HAC=Highest聽activity聽costHAnba腾讯体育直播=Highest聽activity聽unitsVariable聽cost聽is聽per聽unit\begin{aligned} &\text{Variable Cost} = \frac { \text{HAC} - \text{Lowest Activity Cost} }{ \text{HAnba腾讯体育直播} - \text{Lowest Activity Units} } \\ &\textbf{where:} \\ &\text{HAC} = \text{Highest activity cost} \\ &\text{HAnba腾讯体育直播} = \text{Highest activity units} \\ &\text{Variable cost is per unit} \\ \end{aligned}Variable聽Cost=HAnba腾讯体育直播Lowest聽Activity聽UnitsHACLowest聽Activity聽Costwhere:HAC=Highest聽activity聽costHAnba腾讯体育直播=Highest聽activity聽unitsVariable聽cost聽is聽per聽unit

Next, use the following formula to determine the fixed cost component:

Fixed聽Cost=HAC(Variable聽CostHAnba腾讯体育直播)\begin{aligned} &\text{Fixed Cost} = \text{HAC} - ( \text{Variable Cost} \times \text{HAnba腾讯体育直播} ) \\ \end{aligned}Fixed聽Cost=HAC(Variable聽CostHAnba腾讯体育直播)

nba腾讯体育直播e the results of the first two formulas to calculate the high-low cost result using the following formula:

High-Low聽Cost=Fixed聽Cost+(Variable聽CostUA)where:UA=Unit聽activity\begin{aligned} &\text{High-Low Cost} = \text{Fixed Cost} + ( \text{Variable Cost} \times \text{UA} ) \\ &\textbf{where:} \\ &\text{UA} = \text{Unit activity} \\ \end{aligned}High-Low聽Cost=Fixed聽Cost+(Variable聽CostUA)where:UA=Unit聽activity

What Does the High-Low Method Tell You?

The costs associated with a product, product line, equipment, store, geographic sales region, or subsidiary, consist of both variable costs and fixed costs. To determine both cost components of the total cost, an analyst or accountant can use a technique known as the high-low method.

The high-low method is used to calculate the variable and fixed cost of a product or entity with mixed costs. It takes two factors into consideration. It considers the total dollars of the mixed costs at the highest volume of activity and the total dollars of the mixed costs at the lowest volume of activity. The total amount of fixed costs is assumed to be the same at both points of activity. The change in the total costs is thus the variable cost rate times the change in the number of units of activity.

Key Takeaways

  • The high-low method is a simple way to segregate costs with minimal information.
  • The simplicity of the approach assumes the variable and fixed costs as constant, which doesn't replicate reality.
  • Other cost-estimating methods, such as least-squares regression, might provide better results, although this method requires more complex calculations.

Example of How to nba腾讯体育直播e the High-Low Method

For example, the table below depicts the activity for a cake bakery for each of the 12 months of a given year.

Below is an example of the high-low method of cost accounting:

 

Month

 

Cakes Baked (units)

 

Total Cost ($)

 

January

 

115

 

$5,000

 

February

 

80

 

$4,250

 

March

 

90

 

$4,650

 

April

 

95

 

$4,600

 

May

 

75

 

$3,675

 

June

 

100

 

$5,000

 

July

 

85

 

$4,400

 

August

 

70

 

$3,750

 

September

 

115

 

$5,100

 

October

 

125

 

$5,550

 

November

 

110

 

$5,100

 

December

 

120

 

$5,700

The highest activity for the bakery occurred in October when it baked the highest number of cakes, while August had the lowest activity level with only 70 cakes baked at a cost of $3,750. The cost amounts adjacent to these activity levels will be used in the high-low method, even though these cost amounts are not necessarily the highest and lowest costs for the year.

We calculate the fixed and variable costs using the following steps:

1. Calculate variable cost per unit using identified high and low activity levels

Variable聽Cost=TCHATotal聽Cost聽of聽Low聽ActivityHAULowest聽Activity聽UnitVariable聽Cost=$5,550$3,75012570Variable聽Cost=$1,80055=$32.72聽per聽Cakewhere:TCHA=Total聽cost聽of聽high聽activityHAU=Highest聽activity聽unit\begin{aligned} &\text{Variable Cost} = \frac{ \text{TCHA} - \text{Total Cost of Low Activity} }{ \text{HAU} - \text{Lowest Activity Unit} } \\ &\text{Variable Cost} = \frac { \$5,550 - \$3,750 }{ 125 - 70 } \\ &\text{Variable Cost} = \frac { \$1,800 }{ 55 } = \$32.72 \text{ per Cake} \\ &\textbf{where:} \\ &\text{TCHA} = \text{Total cost of high activity} \\ &\text{HAU} = \text{Highest activity unit} \\ \end{aligned}Variable聽Cost=HAULowest聽Activity聽UnitTCHATotal聽Cost聽of聽Low聽ActivityVariable聽Cost=12570$5,550$3,750Variable聽Cost=55$1,800=$32.72聽per聽Cakewhere:TCHA=Total聽cost聽of聽high聽activityHAU=Highest聽activity聽unit

2. Solve for fixed costs

To calculate the total fixed costs, plug either the high or low cost and the variable cost into the total cost formula:

Total聽Cost=(VCUnits聽Produced)+Total聽Fixed聽Cost$5,550=($32.72125)+Total聽Fixed聽Cost$5,550=$4,090+Total聽Fixed聽CostTotal聽Fixed聽Cost=$5,550$4,090=$1,460where:VC=Variable聽cost聽per聽unit\begin{aligned} &\text{Total Cost} = ( \text{VC} \times \text{Units Produced} ) + \text{Total Fixed Cost} \\ &\$5,550 = ( \$32.72 \times 125 ) + \text{Total Fixed Cost} \\ &\$5,550 = \$4,090 + \text{Total Fixed Cost} \\ &\text{Total Fixed Cost} = \$5,550 - \$4,090 = \$1,460 \\ &\textbf{where:} \\ &\text{VC} = \text{Variable cost per unit} \\ \end{aligned}Total聽Cost=(VCUnits聽Produced)+Total聽Fixed聽Cost$5,550=($32.72125)+Total聽Fixed聽Cost$5,550=$4,090+Total聽Fixed聽CostTotal聽Fixed聽Cost=$5,550$4,090=$1,460where:VC=Variable聽cost聽per聽unit

3. Construct total cost equation based on high-low calculations above

nba腾讯体育直播ing all of the information above, the total cost equation is as follows:

Total聽Cost=Total聽Fixed聽Cost+(VCUnits聽Produced)Total聽Cost=$1,460+($32.72125)=$5,550\begin{aligned} &\text{Total Cost} = \text{Total Fixed Cost} + ( \text{VC} \times \text{Units Produced} ) \\ &\text{Total Cost} = \$1,460 + ( \$32.72 \times 125 ) = \$5,550 \\ \end{aligned}Total聽Cost=Total聽Fixed聽Cost+(VCUnits聽Produced)Total聽Cost=$1,460+($32.72125)=$5,550

This can be used to calculate the total cost of various units for the bakery.

The Difference Between the High-Low Method and Regression Analysis

The high-low method is a simple analysis that takes less calculation work. It only requires the high and low points of the data and can be worked through with a simple calculator. It also gives analysts a way to estimate future unit costs. However, the formula does not take inflation into consideration and provides a very rough estimation because it only considers the extreme high and low values, and excludes the influence of any outliers.

Regression analysis helps forecast costs as well, by comparing the influence of one predictive variable upon another value or criteria. It also considers outlying values that help refine the results. However, regression analysis is only as good as the set of data points used, and the results suffer when the data set is incomplete.

It's also possible to draw incorrect conclusions by assuming that just because two sets of data correlate with each other, one must cause changes in the other. Regression analysis is also best performed using a spreadsheet program or statistics program.

Limitations of the High-Low Method

The high-low method is relatively unreliable because it only takes two extreme activity levels into consideration. The high or low points used for the calculation may not be representative of the costs normally incurred at those volume levels due to outlier costs that are higher or lower than would normally be incurred. In this case, the high-low method will produce inaccurate results.

The high-low method is generally not preferred as it can yield an incorrect understanding of the data if there are changes in variable or fixed cost rates over time or if a tiered pricing system is employed. In most real-world cases, it should be possible to obtain more information so the variable and fixed costs can be determined directly. Thus, the high-low method should only be used when it is not possible to obtain actual billing data.