18.5 - Methods of Depreciation
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Straight Line Method (SLM)
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Today, we're going to talk about the Straight Line Method of depreciation. Can anyone tell me how we define this method?
Isn't it where you charge the same amount of depreciation every year?
Exactly! It's quite simple and widely used. To calculate it, we use the formula: Cost of Asset minus Residual Value divided by Useful Life. Can anyone recall why this method is suitable for certain assets?
I think it's because they have consistent usage throughout their life!
Correct! By evenly spreading the depreciation, we match the cost more effectively over time. Let's remember this with the acronym *SIMPLE*—Straight Line Equals Annual Charge!
That's a good way to remember it!
Great! Any questions before we move on?
Written Down Value (WDV) Method
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Now, let’s explore the Written Down Value Method. Can anyone explain how this method works?
Is it where depreciation is calculated at a percentage of the asset's book value?
Yes, that’s right! The formula is Book Value at Beginning of Year multiplied by the Rate of Depreciation. Why do you think it leads to higher depreciation initially?
Probably because assets lose efficiency earlier on?
Exactly! Remember this with the mnemonic *HIGH RATE*—Higher In Early years for WDV!
That makes it easier to remember!
Any questions or clarifications on this method?
Sum of Years' Digits Method
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Moving on, let's discuss the Sum of Years' Digits Method. Who can tell me what makes this method different?
It’s an accelerated depreciation method, right?
Correct! It assigns more depreciation to the earlier years. The formula involves calculating Remaining Life of Asset divided by the Sum of Years' Digits. Can anyone explain why this might be useful?
It helps reflect an asset's usage—higher efficiency in the beginning.
Exactly! To remember this, think of the acronym *FAST GROW*—Faster Gear Reduction Over Weeks!
Awesome way to remember it!
Any questions before we recap?
Units of Production Method
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Finally, let's talk about the Units of Production Method. How do we calculate depreciation using this method?
We base it on actual usage of the asset?
Exactly! We use the formula: Cost minus Residual Value divided by Estimated Total Production. Why might this method be more accurate for some assets?
Because depreciation correlates directly with how much the asset is used!
That's correct! To remember this, think of the mnemonic *USE IT*—Usage Drives Expense Incrementally Through Production!
Great way to summarize it!
Excellent discussion today, everyone! Any final thoughts or questions about the methods?
Introduction & Overview
Read summaries of the section's main ideas at different levels of detail.
Quick Overview
Standard
The section explains different methods used for calculating depreciation, including their formulas, suitability, and key characteristics. Understanding these methods is essential for accurate financial reporting and asset management.
Detailed
Methods of Depreciation
In this section, we explore four critical methods for calculating depreciation that businesses can employ when accounting for fixed assets:
- Straight Line Method (SLM): This method distributes an equal amount of depreciation expense each year over the asset's useful life. The formula is:
$$ \text{Depreciation per year} = \frac{\text{Cost of Asset} - \text{Residual Value}}{\text{Useful Life}} $$
This method is simple and widely used, making it suitable for assets with consistent usage.
- Written Down Value (WDV) Method: Under this method, depreciation is calculated based on a fixed percentage of the asset's book value at the beginning of the year. The formula is:
$$ \text{Depreciation} = \text{Book Value at Beginning of Year} \times \text{Rate of Depreciation} $$
This results in greater depreciation expenses in the earlier years, which is ideal for assets that lose efficiency over time.
- Sum of Years' Digits Method: This accelerated depreciation method allocates more depreciation cost in earlier years. The depreciation is calculated using:
$$ \text{Depreciation} = \frac{\text{Remaining Life of Asset}}{\text{Sum of Years' Digits}} \times (\text{Cost} - \text{Residual Value}) $$
- Units of Production Method: Depreciation here is directly related to the actual output or usage of the asset. The formulas include:
$$ \text{Depreciation per unit} = \frac{\text{Cost} - \text{Residual Value}}{\text{Estimated Total Production}} $$
Then,
$$ \text{Annual Depreciation} = \text{Depreciation per Unit} \times \text{Actual Units Produced} $$
These methods serve crucial roles in reflecting the appropriate cost allocation for assets and ensuring accurate financial reporting.
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Straight Line Method (SLM)
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Chapter Content
- Straight Line Method (SLM)
Also known as the Fixed Installment Method. The same amount is charged each year.
Formula:
Cost of asset−Residual value
Depreciation per year=
Useful life
- Simple and widely used.
- Suitable for assets with consistent usage.
Detailed Explanation
The Straight Line Method (SLM) of depreciation spreads the cost of an asset evenly over its useful life. This means that each year, a fixed amount is deducted as depreciation expense until the asset's value reaches its residual value. To calculate the annual depreciation, you subtract the asset's residual value (the estimated value at the end of its life) from the initial cost and then divide that by the number of years the asset is expected to be in use. This method is simple and best suited for assets that provide consistent utility over time, such as furniture or office equipment.
Examples & Analogies
Think of SLM like a book that costs $100 and can be read for 4 years until it becomes outdated. Each year, you acknowledge that the book loses $25 of its value, so by the end of the fourth year, it’s perceived to be worth only its residual value, which might be $0.
Written Down Value (WDV) Method
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Chapter Content
- Written Down Value (WDV) Method
Depreciation is charged at a fixed percentage on the book value of the asset.
Formula:
Depreciation=Book value at beginning of year×Rate of Depreciation
- Results in higher depreciation in initial years.
- Suitable for assets whose efficiency decreases over time.
Detailed Explanation
The Written Down Value (WDV) method calculates depreciation as a fixed percentage of the asset’s current book value at the start of each year. This leads to higher depreciation expenses in the earlier years when the asset is new and likely being used more intensively. As the asset ages and its book value decreases, the amount depreciated each year is also lower. This method is particularly fitting for assets like machinery, where usage decreases as the machine ages.
Examples & Analogies
Imagine you have a car valued at $20,000 and you expect it to depreciate by 20% in the first year. You would apply the 20% to the full value, giving you $4,000 depreciation for that first year. In the second year, you would apply the 20% to the reduced value of $16,000, resulting in only $3,200 of depreciation.
Sum of Years’ Digits Method
Chapter 3 of 4
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Chapter Content
- Sum of Years’ Digits Method
Accelerated method of depreciation.
Formula:
Remaining life of asset
Depreciation= ×(Cost−Residual Value)
Sum of years’ digits
Detailed Explanation
The Sum of Years’ Digits method provides an accelerated rate of depreciation, which means more depreciation happens in the earlier years of the asset’s life. To compute it, you first calculate the sum of the digits for the asset's useful life. For example, if an asset has a useful life of 5 years, the sum of the digits would be 1+2+3+4+5=15. Then, you determine how many years are left in the asset's life, and this becomes the numerator in the formula. The remaining value is multiplied by the depreciation base (cost minus residual value) to determine the expense for that year.
Examples & Analogies
Consider you have a piece of equipment used for five years. In the first year, you might allocate 5/15 of the total value for depreciation. In the second year, it becomes 4/15 of the remaining value, gradually reducing until the fifth year when it is only 1/15. You might think of this as a new car losing most of its value in the first few years due to rapid technological advancements.
Units of Production Method
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Chapter Content
- Units of Production Method
Depreciation depends on actual usage/output of the asset.
Formula:
Cost−Residual value
Depreciation per unit=
Estimated total production
Then,
Annual Depreciation=Depreciation per unit×Actual units produced
Detailed Explanation
The Units of Production Method bases depreciation on the actual use of the asset rather than time. This method is particularly relevant for manufacturing equipment and vehicles where the asset's life is more closely tied to how much it is used rather than how long it has existed. To apply this method, you first determine the total expected production output over the life of the asset. Then, the depreciation expense for the year is calculated by multiplying the number of units produced in that year by the per-unit depreciation calculated from total costs and expected output.
Examples & Analogies
If a printing machine costs $10,000, has a residual value of $1,000, and is expected to produce 100,000 prints in its lifetime, the depreciation per print would be $0.09. If the machine produces 10,000 prints in a year, the depreciation expense for that year would be $900, reflecting the machine's actual usage.
Key Concepts
-
Straight Line Method: Equal depreciation charged annually.
-
Written Down Value: Depreciation based on book value.
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Sum of Years' Digits: Accelerated depreciation method.
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Units of Production: Depreciation based on actual usage.
Examples & Applications
A company buys machinery for $100,000 with a residual value of $10,000 and a useful life of 10 years. Using SLM, annual depreciation is ($100,000 - $10,000) / 10 = $9,000.
If another machine has a book value of $90,000 and a depreciation rate of 20%, under WDV the depreciation expense would be $90,000 x 20% = $18,000 for the first year.
Memory Aids
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Rhymes
SLM is plain, like a steady train; always the same, year after year without any shame.
Stories
Imagine a factory's production machine. It works great, but as time passes, its output decreases. That's how WDV reflects depreciation faster in the beginning!
Memory Tools
For Sum of Years' Digits, think FAST GROW—the faster the use, the more expense we show!
Acronyms
USE IT for Units of Production—Usage Determines Expense Incrementally Through!
Flash Cards
Glossary
- Straight Line Method (SLM)
A method of depreciation where the asset's cost is evenly spread over its useful life.
- Written Down Value (WDV) Method
A method where depreciation is charged at a fixed percentage of the book value of the asset.
- Sum of Years' Digits Method
An accelerated depreciation method that allocates more expense in the early years of an asset's life.
- Units of Production Method
A depreciation method where the expense is based on actual usage of the asset.
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