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 Accounts Payable (AP)?

Accounts payable (AP), or “payables,” refer to a company’s short-term obligations owed to its creditors or suppliers, which have not yet been paid. Payables appear on a company’s balance sheet as a current liability.

Another, less common usage of “AP,” refers to the business department or division that is responsible for making payments owed by the company to suppliers and other creditors.

Accounts payable can be compared with accounts receivable.

Understanding Accounts Payable (AP)

A company’s total accounts payable balance at a specific point in time will appear on its balance sheet under the current liabilities section. Accounts payable are obligations that must be paid off within a given period to avoid default. At the corporate level, AP refers to short-term payments due to suppliers. The payable is essentially a short-term IOU from one business to another business or entity. The other party would record the transaction as an increase to its accounts receivable in the same amount.

AP is an important figure in a company’s balance sheet. If AP increases over a prior period, that means the company is buying more goods or services on credit, rather than paying cash. If a company’s AP decreases, it means the company is paying on its prior period obligations at a faster rate than it is purchasing new items on credit. Accounts payable management is critical in managing a business’s cash flow.

When using the indirect method to prepare the cash flow statement, the net increase or decrease in AP from the prior period appears in the top section, the cash flow from operating activities. Management can use AP to manipulate the company’s cash flow to a certain extent. For example, if management wants to increase cash reserves for a certain period, they can extend the time the business takes to pay all outstanding accounts in AP.

However, this flexibility to pay later must be weighed against the ongoing relationships the company has with its vendors. It’s always good business practice to pay bills by their due dates.

Recording Accounts Payable

Proper double-entry bookkeeping requires that there must always be an offsetting debit and credit for all entries made into the general ledger. To record accounts payable, the accountant credits accounts payable when the bill or invoice is received. The debit offset for this entry generally goes to an expense account for the good or service that was purchased on credit. The debit could also be to an asset account if the item purchased was a capitalizable asset. When the bill is paid, the accountant debits accounts payable to decrease the liability balance. The offsetting credit is made to the cash account, which also decreases the cash balance.

For example, imagine a business gets a $500 invoice for office supplies. When the AP department receives the invoice, it records a $500 credit in accounts payable and a $500 debit to office supply expense. The $500 debit to office supply expense flows through to the income statement at this point, so the company has recorded the purchase transaction even though cash has not been paid out. This is in line with accrual accounting, where expenses are recognized when incurred rather than when cash changes hands. The company then pays the bill, and the accountant enters a $500 credit to the cash account and a debit for $500 to accounts payable.

A company may have many open payments due to vendors at any one time. All outstanding payments due to vendors are recorded in accounts payable. As a result, if anyone looks at the balance in accounts payable, they will see the total amount the business owes all of its vendors and short-term lenders. This total amount appears on the balance sheet. For example, if the business above also received an invoice for lawn care services in the amount of $50, the total of both entries in accounts payable would equal $550 prior to the company paying off those obligations.

Accounts Payable vs. Trade Payables

Although some people use the phrases “accounts payable” and “trade payables” interchangeably, the phrases refer to similar but slightly different situations. Trade payables constitute the money a company owes its vendors for inventory-related goods, such as business supplies or materials that are part of the inventory. Accounts payable include all of the company’s short-term obligations.

For example, if a restaurant owes money to a food or beverage company, those items are part of the inventory, and thus part of its trade payables. Meanwhile, obligations to other companies, such as the company that cleans the restaurant’s staff uniforms, fall into the accounts payable category. Both of these categories fall under the broader accounts payable category, and many companies combine both under the term accounts payable.

Accounts Payable vs. Accounts Receivable

Accounts receivable (AR) and accounts payable are essentially opposites. Accounts payable is the money a company owes its vendors, while accounts receivable is the money that is owed to the company, typically by customers. When one company transacts with another on credit, one will record an entry to accounts payable on their books while the other records an entry to accounts receivable.

The Bottom Line

Accounts payable (AP) refer to the obligations incurred by a company during its operations that remain due and must be paid in the short term. As such, AP is listed on the balance sheet as a current liability. Typical payables items include supplier invoices, legal fees, contractor payments, and so on.

What Is Form 1040: U.S. Individual Tax Return?

Form 1040 is the standard Internal Revenue Service (IRS) form that individual taxpayers use to file their annual income tax returns. The form contains sections that require taxpayers to disclose their taxable income for the year to determine whether additional taxes are owed or whether the filer will receive a tax refund.

Understanding Form 1040

Form 1040 needs to be filed with the IRS by April 15 in most years. Everyone who earns income over a certain threshold must file an income tax return with the IRS. Keep in mind that businesses have different forms to report their profits.

Form 1040 is available on the IRS website and has two pages that must be filled out. Form 1040 can be mailed in or e-filed. Tax filers are asked for their filing status along with their personal information, such as their name, address, Social Security number (some information on one’s spouse may also be needed), and the number of dependents. The form also asks about full-year health coverage and whether the taxpayer wishes to contribute $3 to presidential campaign funds.

The 1040 income section asks the filer to report wages, salary, taxable interest, capital gains, pensions, Social Security benefits, and other types of income. The new tax legislation eliminated many deductions, including for unreimbursed employee expenses, tax-preparation fees, and moving for a job (except for military on active duty).

The form uses what the IRS terms a building block approach and allows taxpayers to add only the schedules they need to their tax returns. Some individuals may need to file one or more of six new supplemental schedules with their 1040 in addition to long-standing schedules for items like business income or loss. This depends on whether they’re claiming tax credits or owe additional taxes. Many individual taxpayers, however, only need to file a 1040 and no schedules.

Types of Form 1040

Taxpayers in certain situations may need to file a different variant of the 1040 form instead of the standard version. Below are the options.

Form 1040-NR

A number of nonresident aliens or their representatives need to file this form, including:

• Those who are engaged in trade or business in the United States
• Representatives of a deceased person who would have had to file a Form 1040-NR
• Those who represent an estate or trust that had to file a 1040-NR

The IRS also produces the 1040-SS and 1040-PR. The 1040-SS is for residents of American Samoa, the CNMI, Guam, Puerto Rico, or the U.S. Virgin Islands who have net self-employment income and do not have to file Form 1040 with the U.S. Form 1040-PR is the Spanish-language equivalent of Form 1040-SS.

Form 1040-ES

This form is used to determine and pay estimated quarterly taxes. The estimated tax applies to income that isn’t subject to withholding, which includes earnings from self-employment, interest, dividends, and rents. This may also include unemployment compensation, pension income, and the taxable portion of Social Security benefits.

Form 1040-V

This is a statement accompanying a taxpayer’s payment for any balance on the “Amount you owe” line of the 1040 or 1040-NR.

Form 1040-X

If a filer makes a mistake or forgets to include information on any 1040 form, Form 1040-X is used for making changes to previously filed 1040s.

Form 1040-SR

The IRS introduced a new 1040 form for seniors in 2019, Form 1040-SR. Changes include a larger font, no shading (shaded sections can be hard to read), and a standard deduction chart that includes the extra standard deduction for seniors. Seniors who fill out their taxes online won’t notice the difference, but those who do it on paper should benefit.

Standard Deductions on Form 1040

The 1040 income section asks taxpayers for their filing status. This filing determines the taxpayer’s standard deduction. The table below highlights the deductions for the 2022 and 2023 tax years. Keep in mind that you file 2022 taxes in 2023 and 2023 taxes in 2024.

What Is a 10-K?

A 10-K is a comprehensive report filed annually by a publicly-traded company about its financial performance and is required by the U.S. Securities and Exchange Commission (SEC). The report contains much more detail than a company’s annual report, which is sent to its shareholders before an annual meeting to elect company directors.

Some of the information a company is required to document in the 10-K includes its history, organizational structure, financial statements, earnings per share, subsidiaries, executive compensation, and any other relevant data.

The SEC requires this report to keep investors aware of a company’s financial condition and to allow them to have enough information before they buy or sell shares in the corporation, or before investing in the firm’s corporate bonds.

Understanding 10-Ks

Because of the depth and nature of the information they contain, 10-Ks are fairly long and tend to be complicated. But investors need to understand that this is one of the most comprehensive and most important documents a public company can publish on a yearly basis. The more information they can gather from the 10-K, the more they can understand the company.

The government requires companies to publish 10-K forms so investors have fundamental information about companies so they can make informed investment decisions. This form gives a clearer picture of everything a company does and what kinds of risks it faces.

The 10-K includes five distinct sections:

• Business. This provides an overview of the company’s main operations, including its products and services (i.e., how it makes money).
• Risk factors. These outline any and all risks the company faces or may face in the future. The risks are typically listed in order of importance.
• Selected financial data. This section details specific financial information about the company over the last five years. This section presents more of a near-term view of the company’s recent performance.
• Management’s discussion and analysis of financial condition and results of operations. Also known as MD&A, this gives the company an opportunity to explain its business results from the previous fiscal year. This section is where the company can tell its story in its own words.
• Financial statements and supplementary data. This includes the company’s audited financial statements including the income statement, balance sheets, and statement of cash flows. A letter from the company’s independent auditor certifying the scope of their review is also included in this section.

A 10-K filing also includes signed letters from the company’s chief executive officer and chief financial officer. In it, the executives swear under oath that the information included in the 10-K is accurate. These letters became a requirement after several high-profile cases involving accounting fraud following the dot-com bust.

Where to Find a 10-K

Notably, 10-K filings are public information and readily available through a number of sources. In fact, the vast majority of companies include them in the Investor Relations section of their website. The information included in a 10-K can be difficult to move through, but the more familiar investors become with the layout and the type of information included, it will likely become easier to identify the most important details.

10-K Filing Deadlines

Filing deadlines for the 10-K vary based on the size of the company. According to the SEC, companies with a public float—shares issued to the public that are available to trade—of $700 million or more must file their 10-K within 60 days after the end of their fiscal year. Companies with a float between $75 million and $700 million have 75 days, while companies with less than $75 million in their float have 90 days.

Forms 10-Q and 8-K

Along with the 10-K, the SEC requires that public companies regularly file forms 10-Q and 8-K.

Form 10-Q must be submitted to the SEC on a quarterly basis. This form is a comprehensive report of a company’s performance and includes relevant information about its financial position. Unlike the 10-K, the information in the 10-Q is usually unaudited. The company is only required to file it three times a year as the 10-K is filed in the fourth quarter.

The form 8-K though is required by the SEC whenever companies announce major events of which shareholders must be made aware. These events may include (but aren’t limited to) sales, acquisitions, delistings, departures, and elections of executives, as well as changes in a company’s status or control, bankruptcies, information about operations, assets, and any other relevant news.