Posts Tagged ‘Law’

What Is Arc Elasticity? Definition, Midpoint Formula, and Example

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Accretive: Definition and Examples in Business and Finance

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What Is Arc Elasticity?

Arc elasticity is the elasticity of one variable with respect to another between two given points. It is used when there is no general way to define the relationship between the two variables. Arc elasticity is also defined as the elasticity between two points on a curve.

The concept is used in both economics and mathematics. In economics, is it commonly used to measure the changes between the quantity of goods demanded and their prices.

Key Takeaways

  • In the concept of arc elasticity, the elasticity of one variable is measured with respect to another between two given points.
  • The concept is used in both economics and mathematics.
  • It is commonly used to measure the changes between the quantity of goods demanded and their prices.
  • Price (or point) elasticity of demand and arc elasticity of demand are two ways to calculate elasticity.

Understanding Arc Elasticity

In economics, arc elasticity is commonly used in relation to the law of demand to measure percentage changes between the quantity of goods demanded and prices.

There are two possible ways of calculating elasticity—price (or point) elasticity of demand and arc elasticity of demand. Price elasticity of demand measures the responsiveness of quantity demanded to a price. It takes the elasticity of demand at a particular point on the demand curve, or between two points on the curve. Arc elasticity of demand uses a midpoint between the two points.

Formula for Price (Point) Elasticity of Demand



P E d = % Change in Qty % Change in Price PE_d = \dfrac{\text{\% Change in Qty}}{\text{\% Change in Price}}
PEd=% Change in Price% Change in Qty

How to Calculate the Price Elasticity of Demand

If the price of a product decreases from $10 to $8, leading to an increase in quantity demanded from 40 to 60 units, then the price elasticity of demand can be calculated as:

  • % change in quantity demanded = (Qd2 – Qd1) / Qd1 = (60 – 40) / 40 = 0.5
  • % change in price = (P2 – P1) / P1 = (8 – 10) / 10 = -0.2
  • Thus, PEd= 0.5 / -0.2 = 2.5

Since we’re concerned with the absolute values in price elasticity, the negative sign is ignored. You can conclude that the price elasticity of this good, when the price decreases from $10 to $8, is 2.5.

Arc Elasticity of Demand

One of the problems with the price elasticity of demand formula is that it gives different values depending on whether price rises or falls. If you were to use different start and end points in our example above—that is, if you assume the price increased from $8 to $10—and the quantity demanded decreased from 60 to 40, the Ped will be:

  • % change in quantity demanded = (40 – 60) / 60 = -0.33
  • % change in price = (10 – 8) / 8 = 0.25
  • PEd = -0.33 / 0.25 = 1.32, which is much different from 2.5

How to Calculate the Arc Elasticity of Demand

To eliminate this problem, the arc elasticity of demand can be used. Arc elasticity of demand measures elasticity at the midpoint between two selected points on the demand curve by using a midpoint between the two points. The arc elasticity of demand can be calculated as:

  • Arc Ed = [(Qd2 – Qd1) / midpoint Qd] ÷ [(P2 – P1) / midpoint P]

Let’s calculate the arc elasticity following the example presented above:

  • Midpoint Qd = (Qd1 + Qd2) / 2 = (40 + 60) / 2 = 50
  • Midpoint Price = (P1 + P2) / 2 = (10 + 8) / 2 = 9
  • % change in qty demanded = (60 – 40) / 50 = 0.4
  • % change in price = (8 – 10) / 9 = -0.22
  • Arc Ed = 0.4 / -0.22 = 1.82

When you use arc elasticity of demand you do not need to worry about which point is the starting point and which point is the ending point since the arc elasticity gives the same value for elasticity whether prices rise or fall.

Arc elasticity of demand is more useful than price elasticity of demand when there is a considerable change in price.

What Is Elasticity in Economics?

In the context of economics, elasticity is used to measure the change in the quantity demanded for a product in relation to its price movements. A product is considered to be elastic if the demand for it changes substantially when its price changes.

What Is the Law of Demand?

The law of demand is a fundamental economic concept. It states that when prices rise, the demand for a good or service will decrease. 

What Are the Benefits of Arc Elasticity of Demand?

The formula for arc elasticity of demand measures elasticity between two selected points by using a midpoint between the two points. As a result, it is particularly useful when there is a substantial change in price.

The Bottom Line

Arc elasticity is commonly used in economics to determine the percentage of change between the demand for goods and their price. Elasticity can be calculated in two ways—price elasticity of demand and arc elasticity of demand. The latter is more useful when there is a significant change in price.

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Anticipatory Breach: Contract Law Definition and Example

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Annuity Due: Definition, Calculation, Formula, and Examples

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What Is an Anticipatory Breach?

An anticipatory breach of contract is an action that shows one party’s intention to fail to fulfill its contractual obligations to another party. An anticipatory breach can end the counterparty’s responsibility to perform its duties.

Demonstrating the other party’s intention to breach the contract gives the counterparty grounds for beginning legal action. An anticipatory breach is also referred to as an anticipatory repudiation.

Key Takeaways

  • An anticipatory breach, or repudiation, preempts a failure of a party to meet its contractual obligations to another party.
  • Parties claiming an anticipatory breach are obliged to make every effort to mitigate their own damages if they wish to seek compensation in court.
  • The intent to break the contract must be an absolute refusal to fulfill the terms in order for it to qualify as an anticipatory breach.

Understanding Anticipatory Breaches

An anticipatory breach occurs when a party demonstrates its intention to break a contract. However, vocal or written confirmation is not required, and failure to perform any obligation in a timely matter can result in a breach.

By declaring an anticipatory breach, the counterparty may begin legal action immediately rather than waiting until the terms of a contract are actually broken.

Compensation Considerations

Parties claiming an anticipatory breach are obliged to make every effort to mitigate their own damages if they wish to seek compensation in court. That could include halting payments to the party that committed the breach and immediately looking for ways to minimize the effects of the breach. It also might mean seeking a third party who could perform the duties outlined in the original contract.

Requirements for an Anticipatory Breach

The intent to break the contract must be an absolute refusal to fulfill the terms for it to qualify as an anticipatory breach. The expected breach cannot be based solely on the assumption that the other party will not meet its obligations.

If the anticipatory breach involves the sale of goods, then section 2-609 of the Uniform Commercial Code (UCC) also lays down several requirements. The party anticipating a breach has the right to ask the other party to provide reassurance that the contract will be fulfilled. While awaiting assurance, payments and other duties can and should be stopped. If the other party does not offer the proper assurance within 30 days, the contract is officially breached.

The requirements for an anticipatory breach can vary. It is a good idea to consult an attorney before taking any action.

Example of an Anticipatory Breach

Let’s say a real estate developer contracts an architecture firm to create plans for a new building by a specific deadline. If the developer requests regular updates on the project and is not pleased with the latest results, this is not grounds to claim an anticipatory breach. The architects may be behind schedule while continuing to work on the project. Such a circumstance still leaves the possibility that the architects might meet their deadline if corrective steps are taken.

If the architects took actions that made it impossible to meet the deadline, it would constitute an anticipatory breach. For example, the architects might halt all work on the first project and commit all their resources to a new project with a different developer. That would preclude them from fulfilling the initial contract.

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What They Are, How They Work, Major Examples

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What They Are, How They Work, Major Examples

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What Is Antitrust?

Antitrust laws are regulations that encourage competition by limiting the market power of any particular firm. This often involves ensuring that mergers and acquisitions don’t overly concentrate market power or form monopolies, as well as breaking up firms that have become monopolies.

Antitrust laws also prevent multiple firms from colluding or forming a cartel to limit competition through practices such as price fixing. Due to the complexity of deciding what practices will limit competition, antitrust law has become a distinct legal specialization.

Key Takeaways

  • Antitrust laws were designed to protect and promote competition within all sectors of the economy.
  • The Sherman Act, the Federal Trade Commission Act, and the Clayton Act are the three pivotal laws in the history of antitrust regulation.
  • Today, the Federal Trade Commission, sometimes in conjunction with the U.S. Department of Justice, is tasked with enforcing federal antitrust laws.

Understanding Antitrust

Antitrust laws are the broad group of state and federal laws that are designed to make sure businesses are competing fairly. The “trust” in antitrust refers to a group of businesses that team up or form a monopoly to dictate pricing in a particular market.

Supporters say antitrust laws are necessary and that competition among sellers gives consumers lower prices, higher-quality products and services, more choices, and greater innovation. Most people agree with this concept and the benefits of an open marketplace, although there are some who claim that allowing businesses to compete as they see fit would ultimately give consumers the best prices.

The Antitrust Laws

The Sherman Act, the Federal Trade Commission Act, and the Clayton Act are the key laws that set the groundwork for antitrust regulation. Predating the Sherman Act, the Interstate Commerce Act was also beneficial in establishing antitrust regulations, although it was less influential than some of the others.

Congress passed the Interstate Commerce Act in 1887 in response to growing public demand that railroads be regulated. Among other requirements, the law ordered railroads to charge a fair fee to travelers and post those fees publicly. It was the first example of antitrust law but was less influential than the Sherman Act, passed in 1890.

The Sherman Act outlawed contracts and conspiracies restraining trade and/or monopolizing industries in an attempt to stop competing individuals or businesses fixing prices, dividing markets, or attempting to rig bids. The Sherman Act laid out specific penalties and fines for violating the terms.

In 1914, Congress passed the Federal Trade Commission Act, banning unfair competition methods and deceptive acts or practices. The Clayton Act was also passed in 1914, addressing specific practices that the Sherman Act does not ban. For example, the Clayton Act prohibits appointing the same person to make business decisions for competing corporations.

The antitrust laws describe unlawful mergers and business practices in general terms, leaving courts to decide which ones are illegal based on the specifics of each case.

Special Considerations

The Federal Trade Commission (FTC) and the U.S. Department of Justice (DOJ) are tasked with enforcing federal antitrust laws. In some cases, these two authorities may also work with other regulatory agencies to ensure that certain mergers fit the public interest.

The FTC mainly focuses on segments of the economy where consumer spending is high, including healthcare, drugs, food, energy, technology, and anything related to digital communications. Factors that could spark an FTC investigation include premerger notification filings, certain consumer or business correspondence, congressional inquiries, or articles on consumer or economic subjects.

If the FTC thinks that a law has been violated, the agency will try to stop the questionable practices or find a resolution to the anticompetitive portion of, say, a proposed merger between two competitors. If no resolution is found, the FTC may put out an administrative complaint and/or pursue injunctive relief in federal court.

The FTC might also refer evidence of criminal antitrust violations to the DOJ. The DOJ has the power to impose criminal sanctions and holds sole antitrust jurisdiction in certain sectors, such as telecommunications, banks, railroads, and airlines.

Major Example of Antitrust Law

In January 2023, the DOJ and eight states filed an antitrust lawsuit against Alphabet’s Google, alleging that the search giant has illegal monopolization of the digital advertising business. “Today’s complaint alleges that Google has used anticompetitive, exclusionary, and unlawful conduct to eliminate or severely diminish any threat to its dominance over digital advertising technologies,” the government agency said.

The filing, which seeks to make Google divest parts of its advertising business, alleges that the company has used acquisitions as a strategy for “neutralizing or eliminating” rivals and forces advertisers to use its products by making competitors’ products difficult to use. The complaint claims that the company’s monopolistic practices curtail innovation, raise advertising fees, and prevent small businesses and publishers from growing.

Google’s advertising business has come under fire from critics who argue that the search giant controls both the supply and demand sides of the digital advertising market. The company provides tools that help websites offer ad space and that assist advertisers in placing online ads. The suit alleges that Google’s dominance in the market allows it to pocket 30 cents of each dollar that advertisers spend using its suite of advertising tools.

The lawsuit marks the second federal antitrust complaint against Google in three years. Under the former Trump administration, the DOJ filed a lawsuit in October 2020, accusing the tech giant of using its monopoly to reduce competition through exclusionary agreements. That case is expected to go to trial this fall.

Google responded to the suit, saying the DOJ was attempting to intervene in the free market. “Today’s lawsuit from the Department of Justice attempts to pick winners and losers in the highly competitive advertising technology sector,” Google Global Ads Vice President Dan Taylor said in a statement.

On Oct. 20, 2020, the U.S. Department of Justice filed an antitrust lawsuit against Google for anticompetitive practices related to its alleged dominance in search advertising.

What are antitrust laws, and are they necessary?

Antitrust laws were implemented to prevent companies from getting greedy and abusing their power. Without these regulations in place, many politicians fear that big businesses would gobble up the smaller ones. This would result in less competition and fewer choices for consumers, potentially leading to higher prices, lower quality, and less innovation, among other things.

How many antitrust laws are there?

There are three federal antitrust laws in effect today: the Sherman Act, the Federal Trade Commission Act, and the Clayton Act.

Who enforces antitrust laws?

The Federal Trade Commission (FTC) and the U.S. Department of Justice (DOJ) are responsible for making sure that antitrust laws are abided by. The FTC mainly focuses on segments of the economy where consumer spending is high, while the DOJ holds sole antitrust jurisdiction in sectors such as telecommunications, banks, railroads, and airlines and has the power to impose criminal sanctions.

The Bottom Line

Antitrust laws regulate the concentration of economic power to prevent companies from price colluding or creating monopolies. Proponents of antitrust laws argue that they keep consumer prices lower and foster innovation through increased competition. Critics say antitrust regulations intervene in the free market and reduce efficiency.

Antitrust laws are enforced by the FTC and DOJ, with the agencies focusing on areas of the economy that receive significant consumer spending, such as technology, healthcare, pharmaceuticals, and communications. Typically, antitrust investigations arise from premerger notification filings, congressional inquiries, or consumer and business correspondence.

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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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