What Is the Annual Equivalent Rate (AER)?

The annual equivalent rate (AER) is the interest rate for a savings account or investment product that has more than one compounding period. AER is calculated under the assumption that any interest paid is included in the principal payment’s balance and the next interest payment will be based on the slightly higher account balance.

The AER method means that interest can be compounded several times in a year, depending on the number of times that interest payments are made.

AER is also known as the effective annual interest rate or the annual percentage yield (APY).

The AER is the actual interest rate that an investor will earn for an investment, a loan, or another product, based on compounding. The AER reveals to investors what they can expect to return from an investment (the ROI)—the actual return of the investment based on compounding, which is more than the stated, or nominal, interest rate.

Assuming that interest is calculated—or compounded—more than once a year, the AER will be higher than the stated interest rate. The more compounding periods, the greater the difference between the two will be.

Formula for the AER


$\begin{aligned} &\text{Annual equivalent rate}=\left(1 + \frac{r}{n}\right)^n-1\\ &\textbf{where:}\\ &n=\text{The number of compounding periods (times per year interest is paid)}\\ &r = \text{The stated interest rate}\\ \end{aligned}$​Annual equivalent rate=(1+nr​)n−1where:n=The number of compounding periods (times per year interest is paid)r=The stated interest rate​

How to Calculate the AER

To calculate AER:

1. Divide the stated interest rate by the number of times a year that interest is paid (compounded) and add one.
2. Raise the result to the number of times a year that interest is paid (compounded)
3. Subtract one from the subsequent result.

The AER is displayed as a percentage (%).

Example of AER

Let’s look at AER in both savings accounts and bonds.

For a Savings Account

Assume an investor wishes to sell all the securities in their investment portfolio and place all the proceeds in a savings account. The investor is deciding between placing the proceeds in Bank A, Bank B, or Bank C, depending on the highest rate offered. Bank A has a quoted interest rate of 3.7% that pays interest on an annual basis. Bank B has a quoted interest rate of 3.65% that pays interest quarterly, and Bank C has a quoted interest rate of 3.7% that pays interest semi-annually.

Therefore, Bank A would have an annual equivalent rate of 3.7%, or (1 + (0.037 / 1))¹ – 1. Bank B has an AER of 3.7% = (1 + (0.0365 / 4))⁴ – 1, which is equivalent to that of Bank A even though Bank B is compounded quarterly. It would thus make no difference to the investor if they placed their cash in Bank A or Bank B.

On the other hand, Bank C has the same interest rate as Bank A, but Bank C pays interest semi-annually. Consequently, Bank C has an AER of 3.73%, which is more attractive than the other two banks’ AER. The calculation is (1 + (0.037 / 2))² – 1 = 3.73%.

With a Bond

Let’s now consider a bond issued by General Electric. As of March 2019, General Electric offers a noncallable semiannual coupon with a 4% coupon rate expiring Dec. 15, 2023. The nominal, or stated rate, of the bond, is 8%—or the 4% coupon rate times two annual coupons. However, the annual equivalent rate is higher, given the fact that interest is paid twice a year. The AER of the bond is calculated as (1+ (0.04 / 2 ))² – 1 = 8.16%.

Annual Equivalent Rate vs. Stated Interest

While the stated interest rate doesn’t account for compounding, the AER does. The stated rate will generally be lower than AER if there’s more than one compounding period. AER is used to determine which banks offer better rates and which investments might be attractive.

Advantages and Disadvantages of the AER

The primary advantage of AER is that it is the real rate of interest because it accounts for the effects of compounding. In addition, it is an important tool for investors because it helps them evaluate bonds, loans, or accounts to understand their real return on investment (ROI).

Unfortunately, when investors are evaluating different investment options, the AER is usually not stated. Investors must do the work of calculating the figure themselves. It’s also important to keep in mind that AER doesn’t include any fees that might be tied to purchasing or selling the investment. Also, compounding itself has limitations, with the maximum possible rate being continuous compounding.

Special Considerations

AER is one of the various ways to calculate interest on interest, which is called compounding. Compounding refers to earning or paying interest on previous interest, which is added to the principal sum of a deposit or loan. Compounding allows investors to boost their returns because they can accrue additional profit based on the interest they’ve already earned.

One of Warren Buffett’s famous quotes is, “My wealth has come from a combination of living in America, some lucky genes, and compound interest.” Albert Einstein reportedly referred to compound interest as mankind’s greatest invention. 

When you are borrowing money (in the form of loans), you want to minimize the effects of compounding. On the other hand, all investors want to maximize compounding on their investments. Many financial institutions will quote interest rates that use compounding principles to their advantage. As a consumer, it is important to understand AER so you can determine the interest rate you are really getting.

What Are Affiliated Companies?

Companies are affiliated when one company is a minority shareholder of another. In most cases, the parent company will own less than a 50% interest in its affiliated company. Two companies may also be affiliated if they are controlled by a separate third party. In the business world, affiliated companies are often simply called affiliates.

The term is sometimes used to refer to companies that are related to each other in some way. For example, Bank of America has many different affiliated companies including Bank of America, U.S. Trust, Landsafe, Balboa, and Merrill Lynch.

Companies may be affiliated with one another to get into a new market, to maintain separate brand identities, to raise capital without affecting the parent or other companies, and to save on taxes. In most cases, affiliates are associates or associated companies, which describes an organization whose parent has a minority stake in it.

Understanding Affiliated Companies

There are several ways companies can become affiliated. A company may decide to buy out or take over another one, or it may decide to spin off a portion of its operations into a new affiliate altogether. In either case, the parent company generally keeps its operations separate from its affiliates. Since the parent company has a minority ownership, its liability is limited, and the two companies keep separate management teams.

Affiliates are a common way for parent businesses to enter foreign markets while keeping a minority interest in a business. This is especially important if the parent wants to shake off its majority stake in the affiliate.

There is no single bright-line test to determine if one company is affiliated with another. In fact, the criteria for affiliation changes from country to country, state to state, and even between regulatory bodies. For instance, companies considered affiliates by the Internal Revenue Service (IRS) may not be considered affiliated by the Securities and Exchange Commission (SEC).

Affiliates Versus Subsidiaries

An affiliate is different from a subsidiary, of which the parent owns more than 50%. In a subsidiary, the parent is a majority shareholder, which gives the parent company’s management and shareholders voting rights. Subsidiary financials may also appear on the parent company’s financial sheets.

But subsidiaries remain separate legal entities from their parents, meaning they are liable for their own taxes, liabilities, and governance. They are also responsible for following the laws and regulations where they are headquartered, especially if they operate in a different jurisdiction from the parent company.

An example of a subsidiary is the relationship between the Walt Disney Corporation and sports network ESPN. Disney owns an 80% interest in ESPN, making it a majority shareholder. ESPN is its subsidiary.

SEC Rules Surrounding Affiliates

Securities markets around the world have rules that concern affiliates of the businesses they regulate. Here again, these are complex rules that need to be analyzed by local experts on a case-by-case basis. Examples of rules enforced by the SEC include:

• Rule 102 of Regulation M prohibits issuers, selling security holders, and their affiliated purchasers from bidding for, purchasing, or attempting to induce any person to bid for or purchase, any security which is the subject of a distribution until after an applicable restricted period has passed.
• Before disclosing nonpublic personal information about a consumer to a nonaffiliated third party, a broker-dealer must first give a consumer an opt-out notice and a reasonable opportunity to opt out of the disclosure.
• Broker-dealers must maintain and preserve certain information regarding those affiliates, subsidiaries, and holding companies whose business activities are reasonably likely to have a material impact on their own finances and operations.

Tax Consequences of Affiliates

In nearly all jurisdictions, there are important tax consequences for affiliated companies. In general, tax credits and deductions are limited to one affiliate in a group, or a ceiling is imposed on the tax benefits that affiliates may reap under certain programs.

Determining whether companies in a group are affiliates, subsidiaries, or associates is done through a case-by-case analysis by local tax experts.

What Is Aggregation?

Aggregation in the futures markets is a process that combines of all futures positions owned or controlled by a single trader or group of traders into one aggregate position. Aggregation in a financial planning sense, however, is a time-saving accounting method that consolidates an individual’s financial data from various institutions.

Aggregation is increasingly popular with advisors when servicing clients’ accounts, as they are able to discuss the accounts with the client in a cleaner, more easily understood way before they break down the account into its respective categories.

How Aggregation Works

Financial advisors use account-aggregation technology to gather position and transaction information from investors’ retail accounts held at other financial institutions. Aggregators provide investors and their advisors with a centralized view of the investor’s complete financial situation, including daily updates.

Financial planners handle both managed and non-managed accounts. Managed accounts contain assets under the advisor’s control that are held by the advisor’s custodian. The planners utilize portfolio management and reporting software to capture a client’s data through a direct link from the custodian. It is important for the planner to have all the accounts because aggregating them without the complete collection would paint an inaccurate picture of that client’s finances.

Additionally, non-managed accounts contain assets that are not under the advisor’s management but are nevertheless important to the client’s financial plan. Examples include 401(k) accounts, personal checking or savings accounts, pensions, and credit card accounts.

The advisor’s concern with managed accounts is lack of accessibility when the client does not provide log-in information. Advisors cannot offer an all-encompassing approach to financial planning and asset management without daily updates on non-managed accounts.

Importance of Account Aggregation

Account aggregation services solve the issue by providing a convenient method for obtaining current position and transaction information about accounts held at most retail banks or brokerages. Because investors’ privacy is protected, disclosing their personal-access information for each non-managed account is unnecessary.

Financial planners use aggregate account software for analyzing a client’s total assets, liabilities, and net worth; income and expenses; and trends in assets, liability, net worth, and transaction values. The advisor also assesses various risks in a client’s portfolio before making investment decisions.

Effects of Account Aggregation

Many aggregation services offer direct data connections between brokerage firms and financial institutions, rather than using banks’ consumer-facing websites. Clients give financial institutions their consent by providing personal information for the aggregate services.

What Is the American Stock Exchange (AMEX)?

The American Stock Exchange (AMEX) was once the third-largest stock exchange in the United States, as measured by trading volume. The exchange, at its height, handled about 10% of all securities traded in the U.S.

Today, the AMEX is known as the NYSE American. In 2008, NYSE Euronext acquired the AMEX. In the subsequent years, it also became known as NYSE Amex Equities and NYSE MKT.

Understanding the American Stock Exchange (AMEX)

The AMEX developed a reputation over time as an exchange that introduced and traded new products and asset classes. For example, it launched its options market in 1975. Options are a type of derivative security. They are contracts that grant the holder the right to buy or sell an asset at a set price on or before a certain date, without the obligation to do so. When the AMEX launched its options market, it also distributed educational materials to help educate investors as to the potential benefits and risks.

In 1993, the AMEX introduced the first exchange traded fund (ETF). The ETF, now a popular investment, is a type of security that tracks an index or a basket of assets. They are much like mutual funds but differ in that they trade like stocks on an exchange.

Over time, the AMEX gained the reputation of listing companies that could not meet the strict requirements of the NYSE. Today, a good portion of trading on the NYSE American is in small cap stocks. It operates as a fully electronic exchange.

History of the American Stock Exchange (AMEX)

The AMEX dates back to the late 18th century when the American trading market was still developing. At that time, without a formalized exchange, stockbrokers would meet in coffeehouses and on the street to trade securities. For this reason, the AMEX became known at one time as the New York Curb Exchange.

The traders who originally met in the streets of New York became known as curbstone brokers. They specialized in trading stocks of emerging companies. At the time, many of these emerging businesses were in industries such as railroads, oil, and textiles, while those industries were still getting off the ground.

In the 19th century, this type of curbside trading was informal and quite disorganized. In 1908, the New York Curb Market Agency was established in order to bring rules and regulations to trading practices.

In 1929, the New York Curb Market became the New York Curb Exchange. It had a formalized trading floor and a set of rules and regulations. In the 1950s, more and more emerging businesses began trading their stocks on the New York Curb Exchange. The value of companies listed on the exchange almost doubled between 1950 and 1960, going from $12 billion to $23 billion during that time. The New York Curb Exchange changed its name to the American Stock Exchange in 1953.

Special Considerations

Over the years, the NYSE American has become an attractive listing place for younger, entrepreneurial companies, some of whom are in the early stages of their growth and certainly not as well-known as blue chip companies. Compared to the NYSE and Nasdaq, the NYSE American trades at much smaller volumes.

Because of these factors, there could be concerns that investors would not be able to quickly buy and sell some securities in the market. To ensure market liquidity—which is the ease at which a security can be converted to cash without impacting its market price—the NYSE American offers electronic designated market makers.

Market makers are individuals or firms that are available to buy and sell a particular security as needed throughout the trading session. These designated market makers have quoting obligations for specific NYSE American-listed companies. In return for making a market for a security, market makers earn money through the bid-ask spread and from fees and commissions. So, despite the fact that the NYSE American is a smaller-volume exchange specializing in listing smaller companies, its use of market makers enables it to maintain liquidity and an orderly market.