Estimating Cost Functions Using the High-Low Method

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來自 University of Virginia 的課程

Managerial Accounting Fundamentals

41 個評分

University of Virginia

Managerial Accounting Fundamentals

41 個評分

This course will teach you the fundamentals of managerial accounting including how to navigate the financial and related information managers need to help them make decisions. You'll learn about cost behavior and cost allocation systems, how to conduct cost-volume-profit analysis, and how to determine if costs and benefits are relevant to your decisions. By the end of this course, you will be able to: - Describe different types of costs and how they are represented graphically; - Conduct cost-volume-profit analyses to answer questions around breaking even and generating profit; - Calculate and allocate overhead rates within both traditional and activity-based cost allocation systems; - Distinguish costs and benefits that are relevant from those that are irrelevant for a given management decision; - Determine a reasonable course of action, given the financial impact, for a given management decision.

從本節課中

MANAGERIAL ACCOUNTING AND COST BEHAVIOR

Welcome to the course -- we're glad you're here! During this first week, we'll distinguish managerial from financial accounting, including the financial and related information managers need to help them make decisions. We'll then move on to cost behavior including different types of costs, their classifications, and how these classifications help with decision-making. From there, we'll show how to use a scatterplot and the high-low method to estimate cost functions. Let's get started!

Different Costs for Different Purposes2:05

Different Costs in More Detail7:32

Cost Behavior3:49

Using a Line to Represent Cost Behavior2:29

Estimating Cost Functions Using Scatter Plots5:36

Your Turn: Estimating Cost Functions Using Scatter Plots Problem 15:23

Your Turn: Estimating Cost Functions Using Scatter Plots Problem 24:54

Estimating Cost Functions Using the High-Low Method5:52

Your Turn: Estimating Cost Functions Using the High-Low Method Problem 17:17

Your Turn: Estimating Cost Functions Using the High Low Method Problem 25:56

Important Caveats10:12

與講師見面

Luann J. Lynch
Almand R. Coleman Professor of Business Administration
Darden School of Business

Let's look now at the high-low method of estimating a cost equation.

With the high-low method, you use past cost and

activity data just as you do with scatter plots.

But you want to ensure that you have observations from a typical or

representative low-activity period and

a typical or representative high-activity period.

So how do you do that?

Let's look at this scatter plot of data on cost in units.

You'll see that there are many observations,

almost all of which are grouped together.

But there are two observations that are outliers.

To use the high-low method, the first step is we need to pick a typical high and

typical low-activity observation.

Now, while this observation is a low-activity observations

because it's a low number of units, it would not be considered typical or

representative, so we would not want to choose it for our high-low estimation.

And likewise, we would not want to choose the other outlier as our

high-activity observation.

Let me suggest we choose this one,

it looks pretty typical down in the low-activity area.

And let's choose this one.

It looks pretty typical up in that high-activity level.

Okay, this one is a cost of

60,000 at 5,000 units.

And this is a cost of 100,000

at 15,000 units.

Okay, so we have our high and low-activity observations.

Now, think about this.

Assuming fixed cost are the same at each of these two points, any change in cost

from one point to the other would be due solely to variable cost.

So here's what we do.

Step 2, we find the variable cost per unit of activity

by dividing the difference in cost, or the change in cost between the two points,

by the difference in activity between the two points.

Let's work that here.

So we've got our high observation total cost of 100,000.

And our low-activity cost of 60,000.

And we have our high-activity units of 15,000 and

our low-activity units of 5,000.

So we see that cost go up $40,000 when the number of units goes up $10,000.

So that would be a variable cost of $4 per unit, okay?

Next, the third step, we find the fixed cost by subtracting the variable

cost at either of these activity levels from the total costs at that level.

Let's do that.

We should be able to do this from either of the two observations.

I'll just do it at the high-activity level observation.

We'll do this at $100,000, okay?

Total cost at our high-activity level observation.

Our variable cost per unit are $4 per unit times

the 15,000 units at our high-activity level.

So our $100,000 minus our 60,000 in

variable cost would give us fixed cost of $40,000.

Okay?

Now, we just as easily could have done this with the low-activity observation,

and let me illustrate that one as well.

The total cost at the low-activity level was

$60,000 variable costs per unit of four.

5,000 units.

60,000 minus 20,000 gives us $40,000.

So regardless of which one we use,

we're still going to calculate fixed costs of $40,000.

That makes sense, doesn't it?

We would expect fixed cost to be the same between those two observations.

Now, finally, I can use all these

information to write the equation that will help us predict cost.

Here, that equation would be Y is equal to 4.

The slope of the line, or the variable cost per unit,

times x the number of units plus fixed costs of $40,000.

That's the high low method.

Not bad.

Now, you might recall that earlier,

I mentioned the third approach to estimating cost functions.

Least squares regression.

Using least squares regression is beyond the scope of this course,

but generally speaking, least squares regression is a statistical approach

that fits a line to a set of data.

So rather than eyeballing a line from a scatter plot using a straight edge, or

calculating the equation of a line from just two data points

using the high-low method, the least squares regression method uses a more

sophisticated statistical approach to estimate the equation of a line.

That takes into account all of the data points that are available.

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