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Straight Line Depreciation

Author: Sophia

what's covered
This lesson will cover the topic of straight line depreciation. Specifically, this lesson will cover:

Table of Contents

1. Straight Line Depreciation

With straight line depreciation, we are assuming that the life of the asset is assumed to be used up as a constant rate over its useful life. Straight line depreciation should be used if there is consistent usage of the asset over the asset's useful life, meaning there are no large fluctuations, increases or decreases, in terms of the usage level of that asset over time.

EXAMPLE

Buildings aren't necessarily used more in the early years and less in the later years of their lifespan. Generally speaking, they are used consistently over their useful life.

A major benefit of straight line depreciation is simplicity. The asset is depreciated in equal dollar amounts over the useful life of the asset; therefore, it's going to be the same depreciation amount every year. This significantly simplifies the depreciation calculation that needs to be performed.


2. Straight Line Depreciation Calculation

The calculation for a straight line depreciation is cost minus residual value, divided by the number of years of the asset's useful life.

formula to know
Straight Line Depreciation
Straight space Line space Depreciation equals fraction numerator Cost minus Residual space Value over denominator Number space of space Years space of space Useful space Life end fraction

Now, let's break down this calculation further into its component parts:.

  • Cost refers to the cost to purchase, acquire, or build the asset.
  • Residual value is the estimated value of an asset at the end of its useful life.
hint
Residual value represents any value that is left over once you've reached the end of the useful life of the asset, so you can potentially sell that used asset for a sum of money equal to its estimated residual value.

The straight line depreciation calculation provides an annual amount. Note, we can also break it down into monthly depreciation by dividing our calculated straight line depreciation amount by 12. In addition, if we're looking for the amount of accumulated depreciation as of a certain month, we would simply multiply that monthly amount by the number of months that we're looking for.

term to know
Residual Value
The estimated value of an asset at the end of its useful life.


3. Straight Line Depreciation Examples

Next, let's take a look at our straight line depreciation formula by performing some calculations with some example scenarios. For each example, we'll need to know:

  • Total cost
  • Residual value
  • Asset's useful life
We will input these values into our straight line depreciation formula: cost minus residual value divided by the number of years of the useful life.

3a. Yearly Depreciation

For the first example, the total cost of the asset is $500,000, and we're going to assume it has a residual value of $15,000 and a useful life of 10 years.

  • Total cost: $500,000
  • Residual value: $15,000
  • Asset's useful life: 10 years
Plugging this information into our formula gives us a straight line depreciation of $48,500.

Straight space Line space Depreciation table attributes columnalign left end attributes row cell equals fraction numerator Cost minus Residual space Value over denominator Number space of space Years space of space Useful space Life end fraction end cell row cell equals fraction numerator $ 500 comma 000 minus $ 15 comma 000 over denominator 10 end fraction end cell row cell equals fraction numerator $ 485 comma 000 over denominator 10 end fraction end cell row cell equals $ 48 comma 500 end cell end table

3b. Monthly Depreciation

For the next example, we're going to assume we have a total cost of $1,000,000, a residual value of $50,000, and a useful life of 15 years.

  • Total cost: $1,000,000
  • Residual value: $50,000
  • Asset's useful life: 15 years
We can plug this information into our straight line depreciation formula to give us our straight line depreciation, or annual depreciation, of $63,333.

Straight space Line space Depreciation table attributes columnalign left end attributes row cell equals fraction numerator Cost minus Residual space Value over denominator Number space of space Years space of space Useful space Life end fraction end cell row cell equals fraction numerator $ 1 comma 000 comma 000 minus $ 50 comma 000 over denominator 15 end fraction end cell row cell equals fraction numerator $ 950 comma 000 over denominator 15 end fraction end cell row cell equals $ 63 comma 333 end cell end table

Now, we can break that down even further by looking at the monthly depreciation. In this case, every month, depreciation would be $5,278.

Monthly space Depreciation equals fraction numerator $ 63 comma 333 over denominator 12 end fraction equals $ 5 comma 278

If we wanted to see what the accumulated depreciation would be at a certain point in time, we can take that monthly depreciation amount and multiply it by the number of months that we want to find. In this example, after 36 months, the total accumulated depreciation would be $190,008, which is the monthly depreciation multiplied by 36.

36 minus Month space Depreciation equals $ 5 comma 278 cross times 36 equals $ 190 comma 008

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summary
Today we learned all about straight line depreciation, including the formula for straight line depreciation calculation: cost minus residual value divided by the number of years of useful life. Lastly, we looked at some examples of performing the straight line depreciation calculation.

Source: THIS TUTORIAL WAS AUTHORED BY EVAN MCLAUGHLIN FOR SOPHIA LEARNING. PLEASE SEE OUR TERMS OF USE.

Terms to Know
Residual value

The estimated value of an asset at the end of its useful life.

Formulas to Know
Straight Line Depreciation

Straight space Line space Depreciation equals fraction numerator Cost minus Residual space Value over denominator Number space of space Years space of space Useful space Life end fraction