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.

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


$PE_d = \dfrac{\text{\% Change in Qty}}{\text{\% Change in Price}}$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, PE_d= 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 Pe_d will be:

• % change in quantity demanded = (40 – 60) / 60 = -0.33
• % change in price = (10 – 8) / 8 = 0.25
• PE_d = -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 E_d = [(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 E_d = 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.

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.

What Are Appellate Courts?

Appellate courts, also known as the court of appeals, are the part of the American judicial system that is responsible for hearing and reviewing appeals from legal cases that have already been heard in a trial-level or other lower court.

Persons or entities such as corporations that experience an unsuccessful outcome in a trial-level or other lower courts may file an appeal with an appellate court to have the decision reviewed. If the appeal has merit, the lower ruling may be reversed. Appellate courts are present at both the state and federal levels and do not include a jury. 

How Appellate Courts Work

Appellate courts review the decisions of lower courts to determine if the court applied the law correctly. They exist as part of the judicial system to provide those who have judgments made against them an opportunity to have their case reviewed.

A publicly traded company with an unfavorable judgment against it will likely experience a drop in share price, but an appeal could overturn this previous ruling. If an appeal is successful, the stock price usually jumps.

Courts at the appellate level review the findings and evidence from the lower court and determine if there is sufficient evidence to support the determination made by the lower court. In addition, the appellate court will determine if the trial or lower court correctly applied the law.

The highest form of an appellate court in the U.S. is the U.S. Supreme Court, which hears only appeals of major importance and consequence.

Appellate Courts vs. Supreme Courts

Supreme courts typically have more authority and breadth than appellate courts. The U.S. Supreme Court is the highest legal authority there is in America and many states have their own supreme courts, or court of last resort.

Supreme courts review decisions made by appeals courts. Overall, there are 13 appellate courts on the federal level⁠—12 district appellate courts and an appeals court for the Federal Circuit. 

Many states have intermediate appellate courts, which serve as appeals courts meant to cut down on the workload for the state Supreme Court.

Example of an Appellate Court Ruling

Shares of ride-sharing companies Uber Technologies Inc. and Lyft Inc. rose in the summer of 2020 after an appellate court granted a delay in the implementation of a new California law that requires many so-called “gig workers,” including drivers for ride-share companies, to be reclassified as employees.

In this instance, the appellate court decided that a previous ruling from a lower California court, affirming the constitutionality or legality of the state employment law, would be put on hold until it could evaluate the appeal and rule on its merits.

Not long after, investor hopes that Uber and Lyft could potentially get away with offering drivers no access to benefit plans or workers’ compensation coverage were dashed. In October of 2020, the California First District Court of Appeals ruled that the law was, in fact, legal and enforceable, meaning Uber and Lyft must treat their California drivers as employees, rather than independent contractors, and provide them with the benefits and wages they are entitled to under state labor law.

In February of 2021, the U.S. Supreme Court refused to hear Uber and Lyft’s appeal, affirming the lower court’s decision. The U.K. Supreme Court has also done the same.

What Does Accredited in Business Valuation Mean?

Accredited in Business Valuation (ABV) is a professional designation awarded to a certified public accountant (CPA), who specializes in calculating businesses’ value. The ABV certification is overseen by the American Institute of Certified Public Accountants (AICPA). It requires candidates to complete an application process, pass an exam, meet the minimum business experience and education requirements, and pay a credential fee. As of 2021, the annual fee for the ABV Credential was $380.

Maintaining the ABV credential also requires those who hold the certification to meet minimum work experience standards and lifelong learning. Successful applicants earn the right to use the ABV designation with their names, improving job opportunities, professional reputation, and pay.

How Accredited in Business Valuation Works

The Accredited in Business Valuation credential is awarded to CPAs who demonstrate considerable knowledge, skill, and business valuation experience. The study program to become an ABV covers the basic business valuation process, professional standards, qualitative and quantitative analysis, valuation analysis, and other related topics, such as financial reporting and litigation.

Accredited in Business Valuation Requirements

Candidates seeking ABV accreditation must have a valid (and unrevoked) CPA license or certificate issued by the appropriate state authority. They must also pass the ABV Examination, with some exceptions. For example, this requirement is waived in the case of AM (Accredited Member of the ASA) and ASA (Accredited Senior Appraiser) credential holders of the American Society of Appraisers, CFA (Certified Financial Actuary) holders, and CBV (Chartered Business Valuator) credential holders of the Canadian Institute of Chartered Business Valuators.

Every three years, ABV professionals must complete 60 hours of continuing professional education. They must also pay an annual fee of several hundred dollars.

Business Experience and Education Requirements For Candidates

Business Experience

ABV candidates must have obtained a minimum of 150 hours of BV experience within the five years preceding the credential application date. Candidates may also apply a maximum of 15 experience hours by completing the hands-on business valuation case study track at the AICPA Forensic and Valuation Services Conference.

Education Requirement

ABV candidates must complete 75 hours of valuation-related continuing professional development (CPD). All hours must be obtained within the 5-year period preceding the date of the ABV application.

Accredited In Business Valuation Exam

The ABV Exam is conducted by computer and consists of two parts. Both parts must be passed in 12 months (based on passing the first part) to receive ABV credit.

Applicants are given three hours and 15-minutes to complete each section of the test, including a 15-minute break. The exam consists of 90 multiple-choice questions per module, and much of the exam are discrete multiple-choice questions (78 in total). A dozen questions are case studies with accompanying multiple-choice answers. These questions are meant to test a candidate’s analytical aptitude and apply valuation theory and methodology.

What Is an Accredited Asset Management Specialist (AAMS)?

The Accredited Asset Management Specialist (AAMS) is a professional designation awarded by the College for Financial Planning to financial professionals who complete a self-study program, pass an exam, and agree to comply with a code of ethics.

Successful applicants earn the right to use the AAMS designation with their names for two years, which can improve job opportunities, professional reputation, and pay.

Understanding the AAMS Designation

The AAMS program began in 1994 and is taught exclusively online using the CFP’s platform. The College for Financial Planning (owned by Kaplan) is a financial education provider for working adults in the financial services industry.

The AAMS program consists of 10 modules, starting with a review of the asset management process, and then covers a broad range of topics, such as investments, insurance, taxation, retirement, and estate planning issues.

To keep the privileges associated with the designation, AAMS professionals must complete 16 hours of continuing education every two years and pay a fee. The AAMS continuing education program is developed alongside some of the nation’s top investment firms. Applicants explore case studies based on real-life scenarios designed to prepare them for effectiveness in the real world and help them build lasting relationships with clients.

What Does an AAMS Do?

The AAMS certification is designed to equip new advisors with the information they need to help clients plan for and accomplish their personal financial goals. The specialists help people plan college savings, taxes, and retirement savings.

An AAMS focuses on personal finances, over and above checking and savings account management—asset management, investments, and much more.

How to Attain AAMS Certification

The AAMS certification is granted by the College of Financial Planning, the college that created the Certified Financial Planner certification.

To achieve certification, you’ll need to enroll at the College of Financial Planning. This process is not similar to traditionally enrolling in a college. You select the program from the college’s website, choose your options, and pay for the materials. You’re given an opportunity to choose printed study materials when you’re checking out.

Once you receive your materials, you have 120 days from the day you’re granted access to the online material to complete testing and pass the final exam. You follow the course online—using prerecorded videos, self-study, and printed study materials if you buy them.

The final exam for the AAMS program contains 80 questions. A passing score on the AAMS final examination is 70% or better. The time limit for the final exam is three hours, and you’re allowed two attempts to pass.

The self-study program covers several topics:

• The asset management process
• Investment strategies
• Policy and change
• Risk, return, and investment performance
• Asset allocation and selection
• Taxation of investment products
• Investment opportunities for individual retirement
• Investment considerations for small business owners
• Executive compensation and benefit plans
• Insurance products for investment clients
• Estate planning
• Regulatory and ethical issues.

Once you receive your AAMS certification, you must complete 16 hours of continuing education credits per year and pay a renewal fee of $95 once every two years to maintain your certification.

AAMS vs. CFP

AAMS certification focuses on personal finance, asset management, and investments. It is intended for newer financial planners or planners transitioning from other financial work.

Certified Financial Planners (CFP) are finance professionals certified by the College of Financial Planning to help people plan and achieve their financial goals. A CFP can assist someone throughout their lifetime, helping them adjust their finances to meet changing life events and updated financial goals.

The CFP certification is the highest accreditation available for financial planners, requiring 6,000 hours of professional planning experience within the ten years preceding the certification exam.

Special Considerations

The Financial Industry Regulatory Authority (FINRA) specifies that it does not approve or endorse any professional credential or designation. Still, it does list the AAMS as one of the available designations in the financial services industry. According to the College for Financial Planning (CFP), some organizations recognize the AAMS designation as representing 28 hours of continuing education credit.

The CFP maintains an accessible database of the names of all certificate holders and their status. When AAMS students pass their final exam, they receive credit for completing module FP511 from the CFP course.

The Bottom Line

An AAMS is a financial advisor certified by the College of Financial Planning to advise clients about personal finances, asset management, and investments. It is a challenging course of study for those unfamiliar with investing and assets, but it is also a stepping stone for achieving the highly coveted Certified Financial Planner designation.