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Donchian Channels: Formula, Calculations and Uses

Written by admin. Posted in Technical Analysis

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Donchian channels, a popular technical analysis tool, particularly among commodity traders, was developed by Richard Donchian, a pioneer in managed futures. These channels are primarily used to identify breakout points in price moves, which are key for traders looking to capture significant trends.

Key Takeaways

  • Donchian channels are a popular technical analysis tool, particularly among commodity traders.
  • The Donchian channel is formed by plotting two boundary lines: the upper line marks the highest security price over a set number of periods, and the lower line marks the lowest price over the same time.
  • Donchian channels are a versatile tool in technical analysis, offering several practical applications for traders and investors alike.
  • Combining moving averages, volume indicators, and moving average convergence divergence (MACD) with Donchian channels can lead to a more complete picture of the market for an asset.
  • Donchian channels can offer clarity for identifying trends and breakout signals. However, their effectiveness hinges on carefully considering period length, market conditions, risk, and match with other indicators.

The Donchian channel is formed by plotting two boundary lines: the upper line marks the highest security price over a set number of periods, and the lower line marks the lowest price over the same periods. The default setting for Donchian channels is 20 periods, the typical number of trading days in a month.

The middle line, frequently included in Donchian channel calculations, represents the average of the upper and lower boundaries. This tool is particularly effective in trending markets, allowing traders to visualize price volatility and momentum. When the price breaks through the upper channel, it may indicate a buying opportunity, signaling a bullish trend. Conversely, a break below the lower channel could be a bearish signal, potentially a prompt to short. However, in range-bound markets, Donchian channels may produce frequent false signals. Thus, this tool is often used with other indicators to confirm trends and filter out noise.

Understanding the Formula and Calculation

Technical analysis in trading evaluates and predicts future price moves and trends for securities. One tool employed is the Donchian channel. While the mathematical formula behind it is straightforward, online trading platforms, charting software, and technical analysis apps can calculate and plot the Donchian channels for you. This convenience is helpful, but it’s also important to understand the nuts and bolts to know the tool’s benefits and limits.

Calculating the Donchian channels involves three basic components: the upper band, the lower band, and the middle band. The middle band is optional. The key aspect of this tool is the period (N), which determines the channel’s sensitivity. A lower value for N makes the channel more sensitive to price moves, while a higher value makes it less sensitive, capturing broader price trends. The selection of N depends on the trader’s strategy, with shorter periods used for shorter-term trading and longer periods for long-term trend following.

The Upper Band

The upper band is calculated by identifying the higher price of the asset over a set number of periods (N).


U p p e r B a n d = m a x ( H i g h o v e r t h e l a s t N p e r i o d s ) Upper Band = max(High over the last N periods)
UpperBand=max(HighoverthelastNperiods)

The Lower Band

This is the lowest price of the asset over the same number of periods (N).


L o w e r B a n d = m i n ( l o w o v e r t h e l a s t N p e r i o d s ) Lower Band = min(low over the last N periods)
LowerBand=min(lowoverthelastNperiods)

The Middle Band

The middle band is the average of the upper and lower bands.


M i d d l e B a n d = ( U p p e r B a n d + L o w e r B a n d ) / 2 Middle Band = (Upper Band + Lower Band)/2
MiddleBand=(UpperBand+LowerBand)/2

Practical Uses of Donchian Channels

Donchian channels are versatile in technical analysis, with applications that include the following:

  • Identifying trends: A major use of Donchian channels is to identify the prevailing trend in the market. When the price of an asset consistently trades near the upper band, this indicates a strong uptrend, suggesting bullish sentiment. Conversely, trading near the lower band signals a downtrend, signaling a bearish sentiment.
  • Breakout signals: They are particularly effective in spotting breakout opportunities. A breakout above the upper band signals a potential buying opportunity since it suggests that the asset might continue to rise. Meanwhile, a break below the lower band can signal a selling or short-selling opportunity since it could suggest the decline has further to go.
  • Support and resistance levels: The upper and lower bands of the Donchian channel can suggest the support and resistance levels. Traders frequently watch them closely to make buying or selling decisions. For instance, a bounce off the lower band might be seen as a buying opportunity, while resistance at the upper band can be a cue to sell.
  • Stop loss and exit points: Donchian channels can help set stop loss orders and determine exit points. For example, a common strategy is to place a stop loss order just below the lower band when buying, which helps limit potential losses if the market moves unfavorably.
  • Measure of volatility: The width of the Donchian channel can serve as an indicator of market volatility. A wider channel indicates higher volatility, as the price is making larger swings over the set period. Conversely, a narrow channel indicates lower volatility.
  • Filtering noise: In longer-term trading strategies, setting a longer term for the Donchian channels can help filter market noise and help you focus on the relevant price moves.

It should be noted that, like any trading tool in technical analysis, Donchian channels are not foolproof. Traders should know the risk of false breakouts and their limits in sideways markets.

Coordinating Donchian Channels With Other Tools

Donchian channels can be integrated with other technical analysis tools to bolster a trading strategy. Here are several ways to do so:

Moving averages and volume: Moving averages are used to smooth out price data for a period by creating a constantly updated average price. You can lay them over a Donchian channel to confirm or isolate trends. Also, you can use volume charts to confirm the solidity of a breakout signaled by the Donchian channel.

Relative strength index (RSI): This measures how rapid price shifts occur. Often, technical analysts use this data, scored between 0 and 100, to recognize when there’s too much buying or selling of a security. You can use RSI with a Donchian channel to initiate or back off trades. For example, a breakout beyond the upper band, with a high RSI, could suggest an overtraded security and signal the need for caution before buying. Alternatively, a breakout below the lower band and a low RSI could indicate the security is oversold, a signal of a potential buying opportunity.

Moving average convergence divergence (MACD): Using MACD with Donchian channels combines trend and momentum strategies. MACD measures momentum by comparing two moving averages and can be used to confirm signals from a Donchian channel. For example, should a price break the upper Donchian band, signaling a bullish trend, a bullish MACD crossover (when the line in the MACD crosses above the signal line) could indicate how strong the trend is. Likewise, should the price drop beneath the lower Donchian channel and have a bearish MACD crossover, this would signal that the move downward is a strong trend.

Factors to Consider When Using Donchian Channels

When using Donchian channels, several factors should be tailored to individual trading strategies:

  • Selecting the period length: The default setting is 20 periods, but traders may adjust it to suit their trading needs and style. A shorter period makes the channel more sensitive to recent price moves, which is ideal for short-term trading. In contrast, a longer period smooths out the price data, which can be beneficial for long-term trend following.
  • Market conditions: Donchian channels are most effective in trending markets. In range-bound or sideways markets, the channels may produce frequent false signals. It is essential to assess the overall market condition and use Donchian channels accordingly, possibly with other indicators that help identify market phases.
  • Risk management: As with any trading strategy, risk management is crucial. Setting stop-loss orders is recommended to manage potential losses, especially in volatile markets. A stop loss at the lower and upper bands of the Donchian channel can be strategically placed for a long position and a short position, respectively.
  • Combining with other indicators: To help confirm signals and reduce the risk of false breakouts, it is often beneficial to use Donchian channels with other technical indicators like the relative strength index (RSI), the moving average convergence divergence (MACD), or moving averages. This multiple-indicator approach can provide a more complete view of the market.
  • Understanding false breakouts: A challenge with Donchian channels is that false breakouts occur when the price breaks through a band but then quickly reverses. Being ready for potential false signals is necessary for effective trading.
  • Historical performance: Analyzing how an asset has historically responded to Donchian channel levels can help understand how it might perform in the future. However, past performance does not always indicate future results, so this should be one of several considerations.
  • Adjustments for different assets: Different assets may behave differently, and what works for one asset or market may not work for another. Adjusting the settings of the Donchian channels to suit the characteristics of the specific assets is often necessary.
  • Volatility consideration: The Donchian channel’s width can indicate the asset’s volatility. The channels will widen in highly volatile markets, and the price might hit the bands more frequently. This should be taken into account when interpreting the signals generated.
  • Backtesting: Before applying Donchian channels strategies to live trading, backtesting on historical data may prove beneficial. This helps in understanding how the strategy would have performed in the past and in refining the approach based on real market data.
  • Market context: Economic indicators, market sentiment, and fundamental factors should not be ignored. The overall market context needs to be considered. Tools like Donchian channels are most effective in a comprehensive trading strategy considering diverse market aspects.

Limitations and Risks of Donchian Channels

Donchian channels, like any technical analysis tool, have certain limitations and risks that traders should know:

Lagging indicator: The first limitation concerns lag. Donchian channels are based on past price data, making them lagging indicators. This means they react to price changes rather than predict them. In rapidly changing markets, this lag can lead to delayed entry and exit signals, potentially impacting the profitability of trades.

False breakouts: A significant risk associated with Donchian channels is the occurrence of false breakouts. The price may break through the upper or lower band, suggesting a trend change or continuation, but then quickly reverse direction. This can lead to traders entering or exiting positions based on misleading signals.

Sideways markets: Donchian channels are most effective in trending markets. In range-bound or sideways markets, when the price fluctuates within a narrow band, these channels can produce frequent whipsaws, frequent reversals leading to confusion and potential losses.

Overreliance on them: Moreover, relying solely on Donchian channels for trading decisions can be risky. It is generally more effective to use with other technical analysis tools and fundamental analysis to confirm signals and gain a more comprehensive market perspective. Indeed, while Donchian channels can help set stop-loss levels, determining the best place for these stops can be challenging, especially in volatile markets. The wrong stop-loss settings can lead to premature exits from potentially profitable trades or substantial losses.

The wrong period setting: The effectiveness of Donchian channels is also heavily dependent on the chosen period setting. Different settings can produce vastly different results, and no one-size-fits-all setting works for all markets or all types of assets. In addition, traders might experience psychological biases, such as confirmation bias, when they only use the channel signals that confirm their preexisting beliefs or positions. This can lead to misguided trading decisions.

Leaves a lot out: It should be noted that Donchian channels do not consider broader market conditions, news events, economic data releases, or other fundamental factors that can significantly impact asset prices. The tool ignores market context. Finally, traders might unintentionally introduce bias by selecting channel parameters that align with their desired outcomes rather than those that objectively reflect market conditions.

Understanding these limitations and risks is required for effectively using Donchian channels in trading. Traders are typically advised to use a holistic approach that combines several methods of analysis methods and sound risk management practices.

Example of Donchian Channel Trading Strategy

This example entails using the Donchian channel on the exchange-traded fund Invesco QQQ Trust Series (QQQ). This example was conducted on a four-hour chart from Dec. 14, 2022, to Dec. 14, 2023.

The buy condition occurs when the candle’s high is above the Donchian channel’s upper band. This would close any short positions. Conversely, the sell condition rule entails when the candle’s low is lower than the lower band of the Donchian channel. This condition will close any long positions.

The strategy assumptions for Donchian channel trading include the following:

  • Initial capital of $1,000,000
  • Order size of 100% of equity
  • No pyramiding of orders
  • No leveraged trades
  • Commissions and slippage are ignored
  • Period length of 20

Donchian Channel on QQQ.

Tradingview


The results are as follows:

  • Net profit: 9.64%
  • Total closed trades: 15
  • Percentage of profitable trades: 46.67%
  • Profit factor generated: 1.35
  • Maximum drawdown: 14.87%
  • Buy and hold over same period: 55.12%

Donchian Channel Profit and Loss.

Tradingview


This example illustrates the potential effectiveness of the Donchian channels. However, it is critical to note that traders typically utilize more complex trading strategies and leverage, and they subject the indicator to more extensive backtesting and optimization before applying it to real trading.

Other Indicators Similar to Donchian Channels

Several technical analysis indicators share similarities with Donchian channels:

  • Bollinger Bands: A volatility indicator consisting of a middle simple moving average and two standard deviation lines above and below it.
  • Keltner channels: Like Bollinger Bands, but the channels are defined by an exponential moving average and average true range.
  • Moving average envelopes: These are moving averages set above and below the price by a specified percentage.
  • Price channels: Plots a security’s highest high and lowest low over a certain period.
  • Average true range bands: Creates a volatility-based range around the price based on the average true range of an asset.

How Reliable are Donchian Channels?

The reliability of Donchian channels, like any technical analysis tool, depends on several factors. Its effectiveness can vary based on market conditions, asset types, and how it is used within a broader trading strategy. Donchian channels should be employed with an understanding of their limitations and with other analysis methods and sound trading practices.

How do Donchian Channels Differ From Other Technical Analysis Indicators?

Donchian channels differ from other technical analysis indicators in several key ways. One is their focus on price extremes while exhibiting strong trend lines. Many technical analysis indicators give a smoothed average price trend, while Donchian channels create a band enclosing the extreme highs and lows. This can be particularly useful for identifying breakout points and the size of volatility.

How Do I Pick the Number of Periods for a Donchian Channel?

Selecting the right number of periods for Donchian channels is crucial and should match your trading strategy, your trading horizon, and the market’s volatility. Fewer periods will be more responsive to price moves, which is better for short-term trading. A higher number of periods gives you a wider overview of market trends, which is better for long-term trading strategies. You should also consider the asset or market involved, the range in price for the market or asset over time, and your risk tolerance when setting the number of periods.

What are the Best Technical Analysis Indicators to use with Donchian Channels?

Combining Donchian channels with other technical analysis indicators can create a more robust and comprehensive trading strategy. The best indicators to pair with Donchian channels typically complement their trend-following nature or help in confirming signals. Some indicators include the RSI, MACD, the average directional index, the stochastic oscillator, the parabolic stop and reverse, and candlestick patterns.

The Bottom Line

Donchian channels, a technical analysis tool developed by Richard Donchian, can effectively identify market trends and potential breakout points. The channels are constructed using two primary lines: the upper band, which is the highest price over a set number of periods (typically 20), and the lower band, which is the lowest price over the same number of periods. An optional middle band can also be included, representing the average of the upper and lower bands. The simplicity of this formula, focusing on price extremes, enables traders to visualize market volatility, momentum, and potential shifts in market trends.

Donchian channels are versatile and can be adapted to diverse trading strategies and time frames, from day trading to long-term investing. They are commonly used to spot breakout prospects, with a break above the upper channel indicating a potential buy signal and a break below the lower channel suggesting a sell or short sell signal. However, they are most effective in trending markets and can produce false signals in range-bound scenarios. Hence, they are usually used with other indicators, like RSI or MACD, for a more comprehensive analysis. While Donchian channels offer valuable insights, traders should be aware of their limitations and incorporate them into a broader, diversified trading strategy that aligns with their risk tolerance and market outlook.

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Average Inventory: Definition, Calculation Formula, Example

Written by admin. Posted in A, Financial Terms Dictionary

Average Inventory: Definition, Calculation Formula, Example

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What Is Average Inventory?

Average inventory is a calculation that estimates the value or number of a particular good or set of goods during two or more specified time periods. Average inventory is the mean value of inventory within a certain time period, which may vary from the median value of the same data set, and is computed by averaging the starting and ending inventory values over a specified period.

Key Takeaways

  • Average inventory is a calculation that estimates the value or number of a particular good or set of goods during two or more specified time periods.
  • Average inventory is the mean value of an inventory within a certain time period, which may vary from the median value of the same data set.
  • Average inventory figures can be used as a point of comparison when looking at overall sales volume, allowing a business to track inventory losses.
  • Moving average inventory allows a company to track inventory from the last purchase made.
  • Inventory management is a key success factor for companies as it allows them to better manage their costs, sales, and business relationships.

Understanding Average Inventory

Inventory is the value of all the goods ready for sale or all of the raw materials to create those goods that are stored by a company. Successful inventory management is a key focal point for companies as it allows them to better manage their overall business in terms of sales, costs, and relationships with their suppliers.

Since two points do not always accurately represent changes in inventory over different time periods, average inventory is frequently calculated by using the number of points needed to more accurately reflect activities across a certain amount of time.

For instance, if a business was attempting to calculate the average inventory over the course of a fiscal year, it may be more accurate to use the inventory count from the end of each month, including the base month. The values associated with each point are added together and divided by the number of points, in this case, 13, to determine the average inventory.

The average inventory figures can be used as a point of comparison when looking at overall sales volume, allowing a business to track inventory losses that may have occurred due to theft or shrinkage, or due to damaged goods caused by mishandling. It also accounts for any perishable inventory that has expired.

The formula for average inventory can be expressed as follows:

Average Inventory = (Current Inventory + Previous Inventory) / Number of Periods

Average inventory is used often in ratio analysis; for instance, in calculating inventory turnover.

Moving Average Inventory

A company may choose to use a moving average inventory when it’s possible to maintain a perpetual inventory tracking system. This allows the business to adjust the values of the inventory items based on information from the last purchase.

Effectively, this helps compare inventory averages across multiple time periods by converting all pricing to the current market standard. This makes it similar to adjusting historical data based on the rate of inflation for more stable market items. It allows simpler comparisons on items that experience high levels of volatility.

Example of Average Inventory

A shoe company is interested in better managing its inventory. The current inventory in its warehouse is equal to $10,000. This is in line with the inventory for the three previous months, which were valued at $9,000, $8,500, and $12,000.

When calculating a three-month inventory average, the shoe company achieves the average by adding the current inventory of $10,000 to the previous three months of inventory, recorded as $9,000, $8,500 and $12,000, and dividing it by the number of data points, as follows:

Average Inventory = ($10,000 + $9,000 + $8,500 + $12,000) / 4

This results in an average inventory of $9,875 over the time period being examined.

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What Is an Account Number And Where Do You Find It?

Written by admin. Posted in A, Financial Terms Dictionary

What Is an Account Number And Where Do You Find It?

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What Is an Account Number?

An account number is a unique string of numbers and, sometimes, letters and other characters that identify the owner of an account and grant access to it. In the U.S., the Social Security number was the primary identifier until its vulnerability to identity theft forced the practice to be abandoned. In today’s electronic age, the most important account number for many people is the checking account number.

Key Takeaways

  • An account number is a unique identifier of the owner of a service and permits access to it.
  • Account numbers are attached to virtually every transaction anyone makes.
  • In the current electronic era, account numbers are vulnerable to fraud.
  • Multi-factor identification and other security measures protect identification numbers as well as passwords.
  • You can find your account number on the bottom of a paper check, just after the routing number.

How an Account Number Works

The checking account number is located at the bottom of the paper check. You’ll see three sets of numbers in a computer-readable font at the bottom of the check:

  • The first number on the left is the nine-digit bank routing number.
  • The middle number is your account number.
  • The third number is the number of the check.

Payroll processing offices use checking account numbers to set up direct deposit payments for employees.

In addition to checks, account numbers are attached to just about any transaction a consumer or business can make. Sales receipts, subscription services, credit card accounts, and store club memberships all have them.

Protecting Account Numbers

Identification numbers, in addition to passwords, are vulnerable to identity theft and fraud. This is why we have to answer annoying questions about our mothers’ maiden names when we try to make routine changes to an account. The means of making it difficult for hackers to steal account numbers currently are taking the form of password managers along with multi-factor authentication systems.

Modern businesses now often employ a hard-to-hack master password to unlock an electronic vault of customers’ account numbers and other sensitive data. Consumers are becoming accustomed to multifactor authentication, which adds another step before accessing an account, such as a fingerprint, voice activation, or a time-sensitive code sent to the cellphone number on record.

The traditional check layout applies to most personal checks. Some business checks and bank-printed checks have other formats.

These are just some of the means of protecting users’ account numbers in an increasingly vulnerable online environment.

Account Number vs. Routing Number

On a paper check, the nine-digit routing number identifies specific financial institutions within the U.S. The number identifies the check as having been issued by a federal- or state-chartered bank that maintains an account with the Federal Reserve.

This system dates back to 1910 and was developed initially as a way to help bank clerks sort through piles of checks and assign them to the correct drawer. Today, electronic services use them in much the same way for wire transfers, to draw a payment from a deposit at the correct institution.

The account number works together with the routing number to identify the right account holder at the right institution.

How to Locate Your Account Number

You can find your account number on your monthly bank statement, or by visiting a branch of your bank.

If you are using a checking account, the account number is also printed on your paper checks. You can find it printed between the bank’s routing number and the check number, as shown below.

Image by Sabrina Jiang © Investopedia 2020

How Do You Find the Account Number on a Check?

You can find your bank account number printed at the bottom of your paper check. This is the second sequence of numbers, printed between the nine-digit routing number and the shorter check number. This number can also be found on your account statement.

How Long Is a Bank Account Number?

A bank account number is usually eight to 12 digits long, but some account numbers have up to 17 digits. Note that this is not the same as your debit card number or credit card number.

How Do You Find out Your Account Number?

You can find your bank account number on your bank statements, printed at the bottom of a paper check, or on the bank’s website. If you cannot find either type of document, try visiting a branch in person.

The Bottom Line

An account number is a unique identifier for each account at a bank or other financial institution that you have. Along with the routing number, this number is used to make payments and deposits. Due to the increase in identity theft and fraud, it is important to protect your account number and other banking information.

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Accumulated Depreciation: Everything You Need To Know

Written by admin. Posted in A, Financial Terms Dictionary

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What Is Accumulated Depreciation?

Accumulated depreciation is the cumulative depreciation of an asset up to a single point in its life. Accumulated depreciation is a contra asset account, meaning its natural balance is a credit that reduces the overall asset value.

Key Takeaways

  • Depreciation is recorded to tie the cost of using a long-term capital asset with the benefit gained from its use over time.
  • Accumulated depreciation is the sum of all recorded depreciation on an asset to a specific date.
  • Accumulated depreciation is presented on the balance sheet just below the related capital asset line.
  • Accumulated depreciation is recorded as a contra asset that has a natural credit balance (as oppose to asset accounts with natural debit balances).
  • The carrying value of an asset is its historical cost minus accumulated depreciation.

Understanding Accumulated Depreciation

The matching principle under generally accepted accounting principles (GAAP) dictates that expenses must be matched to the same accounting period in which the related revenue is generated. Through depreciation, a business will expense a portion of a capital asset’s value over each year of its useful life. This means that each year a capitalized asset is put to use and generates revenue, the cost associated with using up the asset is recorded.

Accumulated depreciation is the total amount an asset has been depreciated up until a single point. Each period, the depreciation expense recorded in that period is added to the beginning accumulated depreciation balance. An asset’s carrying value on the balance sheet is the difference between its historical cost and accumulated depreciation. At the end of an asset’s useful life, its carrying value on the balance sheet will match its salvage value.

When recording depreciation in the general ledger, a company debits depreciation expense and credits accumulated depreciation. Depreciation expense flows through to the income statement in the period it is recorded. Accumulated depreciation is presented on the balance sheet below the line for related capitalized assets. The accumulated depreciation balance increases over time, adding the amount of depreciation expense recorded in the current period.

Accumulated depreciation is dependent on salvage value; salvage value is determined as the amount a company may expect to receive in exchange for selling an asset at the end of its useful life.

How to Calculate Accumulated Depreciation

There are several acceptable methods for calculating depreciation. These methods are allowable under Generally Accepted Accounting Principles (GAAP). A company may select the depreciation method they wish to use.

Straight-Line Method

Under the straight-line method of accounting, a company deducts the asset’s salvage value from the purchase price to find a depreciable base. Then, this base is accumulated evenly over the anticipated useful life of the asset. The straight-line method formula is:

Annual Accumulated Depreciation = (Asset Value – Salvage Value) / Useful Life in Years

Imagine Company ABC buys a building for $250,000. The building is expected to be useful for 20 years with a value of $10,000 at the end of the 20th year. The depreciable base for the building is $240,000 ($250,000 – $10,000). Divided over 20 years, the company would recognized $20,000 of accumulated depreciation every year. 

Declining Balance Method

Under the declining balance method, depreciation is recorded as a percentage of the asset’s current book value. Because the same percentage is used in every year while the current book value decreases, the amount of depreciation decreases each year. Even though accumulated depreciation will still increase, the amount of accumulated depreciation will decrease each year.

Annual Accumulated Depreciation = Current Book Value * Depreciation Rate

For example, imagine Company ABC buys a company vehicle for $10,000 with no salvage value at the end of its life. The company decided it would depreciate 20% of the book value each year. In Year 1, Company ABC would recognize $2,000 ($10,000 * 20%) of depreciation and accumulated depreciation. In Year 2, Company ABC would recognize $1,600 (($10,000 – $2,000) * 20%).

Double-Declining Balance Method

Under the double-declining balance (also called accelerated depreciation), a company calculates what it’s depreciation would be under the straight-line method. Then, the company doubles the depreciation rate, keeps this rate the same across all years the asset is depreciated, and continues to accumulate depreciation until the salvage value is reached. The percentage can simply be calculated as twice of 100% divided by the number of years of useful life.

Double-Declining Balance Method Rate = (100% / Useful Life In Years) * 2

Double-Declining Balance Method = Depreciable Amount * Double-Declining Balance Method Rate

Let’s imagine Company ABC’s building they purchased for $250,000 with a $10,000 salvage value. Under the straight-line method, the company recognized 5% (100% depreciation / 20 years); therefore, it would use 10% as the depreciation base for the double-declining balance method. The company would recognize $24,000 ($240,000 depreciable base * 10%) in Year 1, and would recognize $21,600 (($240,000 depreciable base – $24,000) * 10%).

Sum-of-the-Years’ Digits Method

Under the sum-of-the-years’ digits method, a company strives to record more depreciation earlier in the life of an asset and less in the later years. This is done by adding up the digits of the useful years, then depreciating based on that number of year.

Annual Accumulated Depreciation = Depreciable Base * (Inverse Year Number / Sum of Year Digits)

Company ABC purchased a piece of equipment that has a useful life of 5 years. The asset has a depreciable base of $15,000. Since the asset has a useful life of 5 years, the sum of year digits is 15 (5+4+3+2+1). The depreciation rate is then the quotient of the inverse year number (Year 1 = 5, Year 2 = 4, Year 3 = 3, etc.) divided by 15. In Year 1, the company will recognize $5,000 ($15,000 * (5/15)) of depreciation and will recognize $4,000 ($15,000 * (4/15)) in Year 2.

Units of Production Method

Under the units of production method, a company estimates the total useful output of an asset. Then, the company evaluates how many of those units were consumed each year to recognize accumulated depreciation variably based on use. The formula for the units of production method is:

Annual Accumulated Deprecation = (Number of Units Consumed / Total Units To Be Consumed) * Depreciable Base

For example, a company buys a company vehicle and plans on driving the vehicle 80,000 miles. In the first year, the company drove the vehicle 8,000 miles. Therefore, it would recognize 10% (8,000 / 80,000) of the depreciable base. In the second year, if the company drives 20,000 miles, it would recognize 25% of depreciable base as an expense in the second year, with accumulated depreciation now equal to $28,000 ($8,000 in the first year + $20,000 in the second year).

Accumulated Depreciation vs. Accelerated Depreciation

Though similar sounding in name, accumulated depreciation and accelerated depreciation refer to very different accounting concepts. Accumulated depreciation refers to the life-to-date depreciation that has been recognized that reduces the book value of an asset. On the other hand, accelerated depreciation refers to a method of depreciation where a higher amount of depreciation is recognized earlier in an asset’s life.

Since accelerated depreciation is an accounting method for recognizing depreciation, the result of accelerated depreciation is to book accumulated depreciation. Under this method, the amount of accumulated depreciation accumulates faster during the early years of an asset’s life and accumulates slower later. The philosophy behind accelerated depreciation is assets that are newer (i.e. a new company vehicle) are often used more than older assets because they are in better condition and more efficient. 

Accumulated depreciation is a real account (a general ledger account that is not listed on the income statement). The balance rolls year-over-year, while nominal accounts like depreciation expense are closed out at year end.

Accumulated Depreciation vs. Depreciation Expense

When an asset is depreciated, two accounts are immediately impacted: accumulated depreciation and depreciation expense. The journal entry to record depreciation results in a debit to depreciation expense and a credit to accumulated depreciation. The dollar amount for each line is equal to the other.

There are two main differences between accumulated depreciation and depreciation expense. First, depreciation expense is reported on the income statement, while accumulated depreciation is reported on the balance sheet. 

Second, on a related note, the income statement does not carry from year-to-year. Activity is swept to retained earnings, and a company “resets” its income statement every year. Meanwhile, its balance sheet is a life-to-date running total that does not clear at year-end. Therefore, depreciation expense is recalculated every year, while accumulated depreciation is always a life-to-date running total.

Special Considerations

Accounting Adjustments/Changes in Estimate

Because the depreciation process is heavily rooted with estimates, it’s common for companies to need to revise their guess on the useful life of an asset’s life or the salvage value at the end of the asset’s life. This change is reflected as a change in accounting estimate, not a change in accounting principle. For example, say a company was depreciating a $10,000 asset over its five year useful life with no salvage value. Using the straight-line method, accumulated depreciation of $2,000 is recognized.

After two years, the company realizes the remaining useful life is not three years but instead six years. Under GAAP, the company does not need to retroactively adjust financial statements for changes in estimates. Instead, the company will change the amount of accumulated depreciation recognized each year. 

In this example, since the asset now has a $6,000 net book value ($10,000 purchase price less $4,000 of accumulated depreciation booked in the first two years), the company will now recognized $1,000 of accumulated depreciation for the next six years. 

Half-Year Recognition

A commonly practiced strategy for depreciating an asset is to recognize a half year of depreciation in the year an asset is acquired and a half year of depreciation in the last year of an asset’s useful life. This strategy is employed to more fairly allocate depreciation expense and accumulated depreciation in years when an asset may only be used part of a year. 

For example, Company A buys a company vehicle in Year 1 with a five year useful life. Regardless of the month, the company will recognize six months worth of depreciation in Year 1. The company will also recognize a full year of depreciation in Year 2 – 5. Then, the company will recognize the final half year of depreciation in Year 6. Although the asset only had a useful life of five years, it is argued that the asset wasn’t used for the entirety of Year 1 nor the entirety of Year 6.

Example of Accumulated Depreciation

Company A buys a piece of equipment with a useful life of 10 years for $110,000. The equipment is estimated to have a salvage value of $10,000. The equipment is going to provide the company with value for the next 10 years, so the company expenses the cost of the equipment over the next 10 years. Straight-line depreciation is calculated as (($110,000 – $10,000) / 10), or $10,000 a year. This means the company will depreciate $10,000 for the next 10 years until the book value of the asset is $10,000.

Each year the contra asset account referred to as accumulated depreciation increases by $10,000. For example, at the end of five years, the annual depreciation expense is still $10,000, but accumulated depreciation has grown to $50,000. That is, accumulated depreciation is a cumulative account. It is credited each year as the value of the asset is written off and remains on the books, reducing the net value of the asset, until the asset is disposed of or sold. It is important to note that accumulated depreciation cannot be more than the asset’s historical cost even if the asset is still in use after its estimated useful life.

Is Accumulated Depreciation an Asset?

Accumulated depreciation is a contra asset that reduces the book value of an asset. Accumulated depreciation has a natural credit balance (as opposed to assets that have a natural debit balance). However, accumulated depreciation is reported within the asset section of a balance sheet.

Is Accumulated Depreciation a Current Liability?

Accumulated depreciation is not a liability. A liability is a future financial obligation (i.e. debt) that the company has to pay. Accumulation depreciation is not a cash outlay; the cash obligation has already been satisfied when the asset is purchased or financed. Instead, accumulated depreciation is the way of recognizing depreciation over the life of the asset instead of recognizing the expense all at once. 

How Do You Calculate Accumulated Depreciation?

Accumulated depreciation is calculated using several different accounting methods. Those accounting methods include the straight-line method, the declining balance method, the double-declining balance method, the units of production method, or the sum-of-the-years method. In general, accumulated depreciation is calculated by taking the depreciable base of an asset and dividing it by a suitable divisor such as years of use or units of production.

Where Is Accumulated Depreciation Recorded?

Accumulated depreciation is recorded as a contra asset via the credit portion of a journal entry. Accumulated depreciation is nested under the long-term assets section of a balance sheet and reduces the net book value of a capital asset.

Is Accumulated Depreciation a Credit or Debit?

Accumulated depreciation is a natural credit balance. Although it is reported on the balance sheet under the asset section, accumulated depreciation reduces the total value of assets recognized on the financial statement since assets are natural debit accounts.

The Bottom Line

Many companies rely on capital assets such as buildings, vehicles, equipment, and machinery as part of their operations. In accordance with accounting rules, companies must depreciate these assets over their useful lives. As a result, companies must recognize accumulated depreciation, the sum of depreciation expense recognized over the life of an asset. Accumulated depreciation is reported on the balance sheet as a contra asset that reduces the net book value of the capital asset section. 

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