Assessed Value: Definition, How It’s Calculated, and Example

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Assessed Value: Definition, How It's Calculated, and Example

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Assessed value is the dollar value assigned to a home or other piece of real estate for property tax purposes. It takes into account the value of comparable properties in the area, among other factors. In many cases, the assessed value is calculated as a percentage of the fair market value of the property.

Key Takeaways

  • Assessed value is the dollar value assigned to a home or other piece of real estate for property tax purposes.
  • It takes into consideration comparable home sales, location, and other factors.
  • Assessed value is not the same as fair market value (what the property could sell for) but is often based on a percentage of it.
  • Some states also tax personal property, such as cars and boats, and assign an assessed value to those as well.

Understanding Assessed Value

The assessed value of real estate or other property is only used for determining the applicable property tax, also known as an ad valorem tax. A government assessor is responsible for assigning the assessed value and for updating it periodically.

Government assessors are usually designated by specified tax districts, and each district may have different procedures for calculating assessed value. However, the basic process is largely the same.

Assessed value takes into account the overall quality and condition of the property, local property values, square footage, home features, and market conditions. Many of these judgments are based on computerized real estate data for that neighborhood and the surrounding area.

Depending on the state and locality, assessors may be required to personally visit properties periodically for assessment purposes. Owners who want to dispute the assessed value placed on their property can request a reassessment, which is a second evaluation of the property.

Assessed value may be lower for a property if you are an owner-occupant as opposed to a landlord (this is sometimes called a homestead exemption). That doesn’t affect the market value of the property but can reduce your property tax bill.

How Is Assessed Value Determined?

In most states and municipalities, assessed value is calculated as a percentage of the property’s fair market value. That percentage can vary considerably from one place to another.

Mississippi, for example, has one of the lowest ratios in the nation for owner-occupied single-family homes, at 10%. Massachusetts has one of the highest assessment ratios, at 100%.

How Are Property Taxes Calculated?

The assessed value of your home is only one factor used to determine your property taxes.

To calculate property tax, most assessors use an equation like the following, which typically includes a millage rate, or tax rate:

Fair Market Value × Assessment Ratio × Millage Rate = Effective Property Tax

The millage rate is the tax rate applied to the assessed value of the property. Millage rates are typically expressed per $1,000, with one mill representing $1 in tax for every $1,000 of assessed value.

So, for example, a house with a fair market value of $300,000 in an area that uses a 50% assessment ratio and a mill rate of 20 mills would have an annual property tax of $3,000 ($300,000 × 0.50 = $150,000; $150,000 × 0.02 = $3,000).

In addition to real estate, many states impose a tax on certain personal property, which is also usually based on the property’s assessed value. That can include mobile homes, cars, motorcycles, and boats. Those rates can vary widely as well, depending on where you live.

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What Are Articles of Incorporation? What’s Included

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Allocated Loss Adjustment Expenses (ALAE) Definition, Examples

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What Are Articles of Incorporation?

Articles of incorporation are a set of formal documents filed with a government body to legally document the creation of a corporation. Articles of incorporation generally contain pertinent information such as the firm’s name, street address, agent for service of process, and the amount and type of stock to be issued. The articles of incorporation are used to legally form the corporation.

Key Takeaways

  • Articles of incorporation is the documents filed with a government body (usually the state) that signifies the creation of a corporation.
  • In the U.S., articles of incorporation are filed with the Office of the Secretary of State where the business chooses to incorporate.
  • Broadly speaking, articles of incorporation include the company’s name, type of corporate structure, and number and type of authorized shares.
  • While the articles of incorporation are used almost exclusively outside of the company, other documents such as bylaws, operating agreements, or business plans are more useful internally.
  • By filing articles of incorporation, corporations may gain favorable tax advantages, the ability to issue stock and raise capital, or shield owners from liability.

Understanding Articles of Incorporation

Many businesses in the U.S. and Canada are formed as a corporation, which is a type of business operation that is formed in the state where the company carries out its operations. To be recognized legally as a corporation, a business must incorporate by taking certain steps and making certain decisions required under corporate law. One such step is filing a document known as articles of incorporation.

Articles of incorporation are in the document necessary to register a corporation with a state and acts as a charter to recognize the establishment of a corporation. The document outlines the basic information needed to form a corporation, the governance of a corporation, and the corporate statutes in the state where the articles of incorporation are filed.

Articles of incorporation are also referred to as the “corporate charter,” “articles of association,” or “certificate of incorporation.”

Where to File Articles of Incorporation

In the U.S., articles of incorporation are filed with the Office of the Secretary of State in the state where the business chooses to incorporate. Some states offer more favorable regulatory and tax environments and, as a result, attract a greater proportion of firms seeking incorporation.

For example, Delaware and Nevada attract about half of the public corporations in the U.S., in part because of the state laws that protect their corporations. Once established, the articles become a public record and provide important information about the corporation.

Many states charge filing fees for a business that incorporates in the state, whether the business operates there or not. A business that is incorporated in one state and is physically located or doing business in another state must register in the other state as well, which involves paying that state’s filing fees and taxes.

Depending on the state of incorporation, a company may pay filing fees ranging from $50 (as in Iowa, Arkansas, and Michigan) to $275 (as in Massachusetts) as of 2020. The fees can vary depending on whether the articles of incorporation were filed online or by mail.

Articles of Incorporation Document Requirements

The articles in the document vary by state, but the following items (i.e. “articles” are typically included:

  1. Name of corporation
  2. Name and address of the registered agent
  3. Type of corporate structure (e.g., profit corporation, nonprofit corporation, non-stock corporation, professional corporation, etc.)
  4. Names and addresses of the initial board of directors
  5. Number and type of authorized shares
  6. Duration of the corporation, if it wasn’t established to exist perpetually
  7. Name, signature, and address of the incorporator, who is the person in charge of setting up a corporation

Most states also require the articles to state the firm’s purpose, though the corporation may define its purpose very broadly to maintain flexibility in its operations. Amazon’s certificate of incorporation, for example, states that the corporation’s purpose is “to engage in any lawful act or activity for which corporations may be organized under the General Corporation Law of Delaware.”

Other provisions outlined in a company’s articles of incorporation may include the limitation of the directors’ liability, actions by stockholders without a meeting, and the authority to call special meetings of stockholders. Each state has certain mandatory provisions that must be contained in the articles of incorporation and other optional provisions that the company can decide whether to include.

While domestic companies will submit an article of incorporation, foreign corporate entities must file a certificate of registration to operate in a given state.

Articles of Incorporation vs. Other Documents

Articles of Incorporation vs. Bylaws

While the articles of incorporation are externally-filed formation documents, bylaws are more of use to a company when used internally. Bylaws set the internal processes and organization of how the company should be run. Bylaws outline the rules and procedures for the management of a company. Not all states require a company to maintain bylaws, though many require a company to formally memorialize the bylaws.

Articles of Incorporation vs. LLC Operating Agreement

Articles of incorporation are required state filings to form a corporation, while LLC operating agreements are used exclusively for LLCs. In addition, the articles of incorporation outline the information structure of the company. Meanwhile, operating agreements often outline how internal disputes will be resolved between members or owners. An LLC operating agreement acts more of a personal protection document than the articles of incorporation.

Articles of Incorporation vs. Business License

A business license often permits a company to operate within a specific jurisdiction or industry. It gives the holder the right to start and run a business in the designed geographical location that issues the license. The rights granted by a business license are often more specific and niche than the articles of incorporation; though similar information may be required for both, the articles of incorporation simply legally form an organization and is the highest governing document for a corporation.

Articles of Incorporation vs. Business Plan

A business plan is an internal document that may be shared with major customers, investors, or lending institutions that communicates the formal operating plan of a company. Often a strategic document, a business plan is mainly used by internal management as a roadmap for decision-making. This is in stark contrast of the articles of incorporation which are information-only, non-strategic requirements for legal reasons.

A company should internally maintain a copy of its articles of incorporation request.

Importance of Articles of Incorporation

A corporation should take care when filings its articles of incorporation as these formation documents carry great significance. For starters, they are legally required to structure a new business or company. The corporation can not form and be recognized by the state as a legal business entity until the forms are registered.

Once a business is incorporated, it often has a greater ability to raise capital via stock issuances. A corporation cannot sell stock until is incorporated via the filing of its articles of incorporation. Corporations may also receive more favorable tax treatment compared to individual or personal tax rates.

In addition, there are personal liability considerations for companies being formed. Individuals are often held liable for a company’s obligations until it is incorporated. By forming a legal corporation, business owners may be shielded from some personal liability for the company’s debts. This liability protection cannot occur until the articles of incorporation have been filed.

Example of Articles of Incorporation

The image below captures the first few requirements from the Secretary of State form required by the state of Washington. This form is to be completed and returned to the government agency for review.

Articles of Incorporation, Sample (WA State).

Some sections simply require a check mark for applicability or a ‘yes/no’ mutually exclusive selection. Other areas (such as the purpose of the corporation) require written response. As designated by the top of the form, this specific article of incorporation document template is for specific use for the formation of non-profit corporations.

The Washington State Articles of Incorporation form ends with the certification section in which an incorporator must certify the information given is correct to the best of their knowledge. The incorporator is also required to provide some personal information along with their signature.

Articles of Incorporation, Certification Section (WA State).

The form above had been filed by Parrot Foundation, a Washington nonprofit organization. A snipped of Parrot Foundation’s articles of incorporation has been provided below as an example of the dates, structure, and business purpose a company may request when filing its articles of incorporation.

Parrot Foundation, Articles of Incorporation.

What Is the Purpose of the Articles of Incorporation?

The purpose of the articles of incorporation is to legally form a corporation. The filing submits information to a state agency, and the state agency officially determines whether the corporation can be recognized as a formal company. Once incorporated, the business may receive a number of different benefits (mentioned below) via its status as a corporation.

What Are the Benefits of Filing Articles of Incorporation?

By filing articles of incorporation, a company can officially become incorporated. Once incorporated, the company may receive favorable tax benefits and have the ability to raise capital by issuing stock. In addition, the owners of the corporation have different liability over company debts once a corporation is formed.

How Do You Write Articles of Incorporation?

Articles of incorporation are filed with your state’s Secretary of State office. That department provides a form that requests a variety of information about your newly forming corporation. Upon completing the required fields, the form is submit back to the Secretary of State for review. The state agency that reviews the form will contact you should they have any clarifying questions regarding your information.

Can One Person Submit Articles of Incorporation?

Yes, it is possible to incorporate a business with just one employee. That single owner will be responsible for all aspects of the company. In addition, that sole individual will be the only shareholder. However, they may be listed as the only member on the articles of incorporation.

The Bottom Line

If a company wants to become a corporation, it must file articles of incorporation with its appropriate state agency. This formation document is required as part of the incorporation process, and the articles provide the state a variety of information about the company and its incorporators. Different from other legal documents that outline how a company will operate internally, the article of incorporation is intended to help external parties evaluate and form a corporation.

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What Is the Arms Index (TRIN), and How Do You Calculate It?

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What Is the Arms Index (TRIN), and How Do You Calculate It?

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What Is the Arms Index (TRIN)?

The Arms Index, also called the Short-Term Trading Index (TRIN) is a technical analysis indicator that compares the number of advancing and declining stocks (AD Ratio) to advancing and declining volume (AD volume). It is used to gauge overall market sentiment. Richard W. Arms, Jr. invented it in 1967, and it measures the relationship between market supply and demand. It serves as a predictor of future price movements in the market, primarily on an intraday basis. It does this by generating overbought and oversold levels, which indicate when the index (and the majority of stocks in it) will change direction.

Image by Sabrina Jiang © Investopedia 2021


Key Takeaways

  • If AD Volume creates a higher ratio than the AD Ratio, TRIN will be below one.
  • If AD Volume has a lower ratio than AD Ratio, TRIN will be above one.
  • A TRIN reading below one typically accompanies a strong price advance, since the strong volume in the rising stocks helps fuel the rally.
  • A TRIN reading above one typically accompanies a strong price decline, since the strong volume in the decliners helps fuel the selloff.
  • The Arms Index moves opposite the price trajectory of the Index. As discussed above, a strong price rally will see TRIN move to lower levels. A falling index will see TRIN push higher.

The Formula for Arms Index (TRIN) is:


TRIN   =   Advancing Stocks/Declining Stocks Advancing Volume/Declining Volume where: Advancing Stocks   =   Number of stocks that are higher Declining Stocks   =   Number of stocks that are lower Advancing Volume   =   Total volume of all advancing \begin{aligned} &\text{TRIN}\ =\ \frac{\text{Advancing Stocks/Declining Stocks}}{\text{Advancing Volume/Declining Volume}}\\ &\textbf{where:}\\ & \begin{aligned} \text{Advancing Stocks}\ =\ &\text{Number of stocks that are higher}\\ &\text{on the day}\end{aligned}\\ &\begin{aligned} \text{Declining Stocks}\ =\ &\text{Number of stocks that are lower}\\ &\text{on the day}\end{aligned}\\ &\begin{aligned} \text{Advancing Volume}\ =\ &\text{Total volume of all advancing}\\ &\text{stocks}\end{aligned}\\ &\begin{aligned}\text{Declining Volume}\ =\ &\text{Total volume of all declining}\\ &\text{stocks}\end{aligned} \end{aligned}
TRIN = Advancing Volume/Declining VolumeAdvancing Stocks/Declining Stockswhere:Advancing Stocks = Number of stocks that are higherDeclining Stocks = Number of stocks that are lowerAdvancing Volume = Total volume of all advancing

How to Calculate the Arms Index (TRIN)

TRIN is provided in many charting applications. To calculate by hand, use the following steps.

  1. At set intervals, such as every five minutes or daily (or whatever interval is chosen), find the AD Ratio by dividing the number of advancing stocks by the number of declining stocks.
  2. Divide total advancing volume by total declining volume to get AD Volume.
  3. Divide the AD Ratio by AD Volume.
  4. Record the result and plot on a graph.
  5. Repeat the calculation at the next chosen time interval.
  6. Connect multiple data points to form a graph and see how the TRIN moves over time.

What Does the Arms Index (TRIN) Tell You?

The Arms index seeks to provide a more dynamic explanation of overall movements in the composite value of stock exchanges, such as the NYSE or NASDAQ, by analyzing the strength and breadth of these movements.

An index value of 1.0 indicates that the ratio of AD Volume is equal to the AD Ratio. The market is said to be in a neutral state when the index equals 1.0, since the up volume is evenly distributed over the advancing issues and the down volume is evenly distributed over the declining issues.

Many analysts believe that the Arms Index provides a bullish signal when it’s less than 1.0, since there’s greater volume in the average up stock than the average down stock. In fact, some analysts have found that the long-term equilibrium for the index is below 1.0, potentially confirming that there is a bullish bias to the stock market.

On the other hand, a reading of greater than 1.0 is typically seen as a bearish signal, since there’s greater volume in the average down stock than the average up stock.

The farther away from 1.00 the Arms Index value is, the greater the contrast between buying and selling on that day. A value that exceeds 3.00 indicates an oversold market and that bearish sentiment is too dramatic. This could mean an upward reversal in prices/index is coming.

Conversely, a TRIN value that dips below 0.50 may indicate an overbought market and that bullish sentiment is overheating.

Traders look not only at the value of the indicator but also at how it changes throughout the day. They look for extremes in the index value for signs that the market may soon change directions.

The Difference Between the Arms Index (TRIN) and the Tick Index (TICK)

TRIN compares the number of advancing and declining stocks to the volume in both advancing and declining stocks. The Tick index compares the number of stocks making an uptick to the number of stocks making a downtick. The Tick Index is used to gauge intraday sentiment. The Tick Index does not factor volume, but extreme readings still signal potentially overbought or oversold conditions.

Limitations of Using the Arms Index (TRIN)

The Arms Index has a few mathematical peculiarities that traders and investors should be aware of when using it. Since the index emphasizes volume, inaccuracies arise when there isn’t as much advancing volume in advancing issues as expected. This may not be a typical situation, but it’s a situation that can arise and could potentially make the indicator unreliable.

Here are two examples of instances where problems may occur:

  • Suppose that a very bullish day occurs where there are twice as many advancing issues as declining issues and twice as much advancing volume as declining volume. Despite the very bullish trading, the Arms Index would yield only a neutral value of (2/1)/(2/1) = 1.0, suggesting that the index’s reading may not be entirely accurate.
  • Suppose that another bullish scenario occurs where there are three times as many advancing issues as declining issues and twice as much advancing volume than declining volume. In this case, the Arms Index would actually yield a bearish (3/1)/(2/1) = 1.5 reading, again suggesting an inaccuracy.

One way to solve this problem would be to separate the two components of the indicator into issues and volume instead of using them in the same equation. For instance, advancing issues divided by declining issues could show one trend, while advancing volume over declining volume could show a separate trend. These ratios are called the advance/decline ratio and upside/downside ratio, respectively. Both of these could be compared to tell the market’s true story.

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