What Is the Accounting Equation?

The accounting equation states that a company’s total assets are equal to the sum of its liabilities and its shareholders’ equity.

This straightforward relationship between assets, liabilities, and equity is considered to be the foundation of the double-entry accounting system. The accounting equation ensures that the balance sheet remains balanced. That is, each entry made on the debit side has a corresponding entry (or coverage) on the credit side.

The accounting equation is also called the basic accounting equation or the balance sheet equation.

Understanding the Accounting Equation

The financial position of any business, large or small, is based on two key components of the balance sheet: assets and liabilities. Owners’ equity, or shareholders’ equity, is the third section of the balance sheet.

The accounting equation is a representation of how these three important components are associated with each other.

Assets represent the valuable resources controlled by the company, while liabilities represent its obligations. Both liabilities and shareholders’ equity represent how the assets of a company are financed. If it’s financed through debt, it’ll show as a liability, but if it’s financed through issuing equity shares to investors, it’ll show in shareholders’ equity.

The accounting equation helps to assess whether the business transactions carried out by the company are being accurately reflected in its books and accounts. Below are examples of items listed on the balance sheet.

Assets

Assets include cash and cash equivalents or liquid assets, which may include Treasury bills and certificates of deposit.

Accounts receivables list the amounts of money owed to the company by its customers for the sale of its products. Inventory is also considered an asset.

The major and often largest value asset of most companies be that company’s machinery, buildings, and property. These are fixed assets that are usually held for many years.

Liabilities

Liabilities are debts that a company owes and costs that it needs to pay in order to keep the company running.

Debt is a liability, whether it is a long-term loan or a bill that is due to be paid.

Costs include rent, taxes, utilities, salaries, wages, and dividends payable.

Shareholders’ Equity

The shareholders’ equity number is a company’s total assets minus its total liabilities. 

It can be defined as the total number of dollars that a company would have left if it liquidated all of its assets and paid off all of its liabilities. This would then be distributed to the shareholders.

Retained earnings are part of shareholders’ equity. This number is the sum of total earnings that were not paid to shareholders as dividends.

Think of retained earnings as savings, since it represents the total profits that have been saved and put aside (or “retained”) for future use.

Accounting Equation Formula and Calculation

$\text{Assets}=(\text{Liabilities}+\text{Owner’s Equity})$Assets=(Liabilities+Owner’s Equity)

The balance sheet holds the elements that contribute to the accounting equation:

1. Locate the company’s total assets on the balance sheet for the period.
2. Total all liabilities, which should be a separate listing on the balance sheet.
3. Locate total shareholder’s equity and add the number to total liabilities.
4. Total assets will equal the sum of liabilities and total equity.

As an example, say the leading retailer XYZ Corporation reported the following on its balance sheet for its latest full fiscal year:

• Total assets: $170 billion
• Total liabilities: $120 billion
• Total shareholders’ equity: $50 billion

If we calculate the right-hand side of the accounting equation (equity + liabilities), we arrive at ($50 billion + $120 billion) = $170 billion, which matches the value of the assets reported by the company.

About the Double-Entry System

The accounting equation is a concise expression of the complex, expanded, and multi-item display of a balance sheet. 

Essentially, the representation equates all uses of capital (assets) to all sources of capital, where debt capital leads to liabilities and equity capital leads to shareholders’ equity.

For a company keeping accurate accounts, every business transaction will be represented in at least two of its accounts. For instance, if a business takes a loan from a bank, the borrowed money will be reflected in its balance sheet as both an increase in the company’s assets and an increase in its loan liability.

If a business buys raw materials and pays in cash, it will result in an increase in the company’s inventory (an asset) while reducing cash capital (another asset). Because there are two or more accounts affected by every transaction carried out by a company, the accounting system is referred to as double-entry accounting.

The double-entry practice ensures that the accounting equation always remains balanced, meaning that the left side value of the equation will always match the right side value.

In other words, the total amount of all assets will always equal the sum of liabilities and shareholders’ equity.

The global adherence to the double-entry accounting system makes the account keeping and tallying processes more standardized and more fool-proof.

The accounting equation ensures that all entries in the books and records are vetted, and a verifiable relationship exists between each liability (or expense) and its corresponding source; or between each item of income (or asset) and its source.

Limits of the Accounting Equation

Although the balance sheet always balances out, the accounting equation can’t tell investors how well a company is performing. Investors must interpret the numbers and decide for themselves whether the company has too many or too few liabilities, not enough assets, or perhaps too many assets, or whether its financing is sufficient to ensure its long-term growth.

Real-World Example

Below is a portion of Exxon Mobil Corporation’s (XOM) balance sheet in millions as of Dec. 31, 2019:

• Total assets were $362,597
• Total liabilities were $163,659
• Total equity was $198,938

The accounting equation is calculated as follows:

• Accounting equation = $163,659 (total liabilities) + $198,938 (equity) equals $362,597, (which equals the total assets for the period)

What Is Activity-Based Costing (ABC)?

Activity-based costing (ABC) is a costing method that assigns overhead and indirect costs to related products and services. This accounting method of costing recognizes the relationship between costs, overhead activities, and manufactured products, assigning indirect costs to products less arbitrarily than traditional costing methods. However, some indirect costs, such as management and office staff salaries, are difficult to assign to a product.

How Activity-Based Costing (ABC) Works

Activity-based costing (ABC) is mostly used in the manufacturing industry since it enhances the reliability of cost data, hence producing nearly true costs and better classifying the costs incurred by the company during its production process.

This costing system is used in target costing, product costing, product line profitability analysis, customer profitability analysis, and service pricing. Activity-based costing is used to get a better grasp on costs, allowing companies to form a more appropriate pricing strategy. 

The formula for activity-based costing is the cost pool total divided by cost driver, which yields the cost driver rate. The cost driver rate is used in activity-based costing to calculate the amount of overhead and indirect costs related to a particular activity. 

The ABC calculation is as follows:  

1. Identify all the activities required to create the product. 
2. Divide the activities into cost pools, which includes all the individual costs related to an activity—such as manufacturing. Calculate the total overhead of each cost pool.
3. Assign each cost pool activity cost drivers, such as hours or units. 
4. Calculate the cost driver rate by dividing the total overhead in each cost pool by the total cost drivers. 
5. Divide the total overhead of each cost pool by the total cost drivers to get the cost driver rate. 
6. Multiply the cost driver rate by the number of cost drivers. 

As an activity-based costing example, consider Company ABC that has a $50,000 per year electricity bill. The number of labor hours has a direct impact on the electric bill. For the year, there were 2,500 labor hours worked, which in this example is the cost driver. Calculating the cost driver rate is done by dividing the $50,000 a year electric bill by the 2,500 hours, yielding a cost driver rate of $20. For Product XYZ, the company uses electricity for 10 hours. The overhead costs for the product are $200, or $20 times 10.

Requirements for Activity-Based Costing (ABC)

The ABC system of cost accounting is based on activities, which are any events, units of work, or tasks with a specific goal, such as setting up machines for production, designing products, distributing finished goods, or operating machines. Activities consume overhead resources and are considered cost objects.

Under the ABC system, an activity can also be considered as any transaction or event that is a cost driver. A cost driver, also known as an activity driver, is used to refer to an allocation base. Examples of cost drivers include machine setups, maintenance requests, consumed power, purchase orders, quality inspections, or production orders.

There are two categories of activity measures: transaction drivers, which involves counting how many times an activity occurs, and duration drivers, which measure how long an activity takes to complete.

Unlike traditional cost measurement systems that depend on volume count, such as machine hours and/or direct labor hours to allocate indirect or overhead costs to products, the ABC system classifies five broad levels of activity that are, to a certain extent, unrelated to how many units are produced. These levels include batch-level activity, unit-level activity, customer-level activity, organization-sustaining activity, and product-level activity.

Benefits of Activity-Based Costing (ABC)

Activity-based costing (ABC) enhances the costing process in three ways. First, it expands the number of cost pools that can be used to assemble overhead costs. Instead of accumulating all costs in one company-wide pool, it pools costs by activity. 

Second, it creates new bases for assigning overhead costs to items such that costs are allocated based on the activities that generate costs instead of on volume measures, such as machine hours or direct labor costs. 

Finally, ABC alters the nature of several indirect costs, making costs previously considered indirect—such as depreciation, utilities, or salaries—traceable to certain activities. Alternatively, ABC transfers overhead costs from high-volume products to low-volume products, raising the unit cost of low-volume products.

What Is an Amortization Schedule?

Amortizing loans feature level payment amounts over the life of the loan, but with varying proportions of interest and principal making up each payment. A traditional mortgage is a prime example of such a loan.

A loan amortization schedule represents the complete table of periodic loan payments, showing the amount of principal and interest that comprise each level payment until the loan is paid off at the end of its term. Early in the schedule, the majority of each payment goes toward interest; later in the schedule, the majority of each payment begins to cover the loan’s remaining principal.

Understanding an Amortization Schedule

If you are taking out a mortgage or auto loan, your lender should provide you with a copy of your loan amortization schedule so you can see at a glance what the loan will cost and how the principal and interest will be broken down over its life.

In a loan amortization schedule, the percentage of each payment that goes toward interest diminishes a bit with each payment and the percentage that goes toward principal increases. Take, for example, a loan amortization schedule for a $165,000, 30-year fixed-rate mortgage with a 4.5% interest rate:

Amortization schedules can be customized based on your loan and your personal circumstances. With more sophisticated amortization calculators, like the templates you can find in Excel you can compare how making accelerated payments can accelerate your amortization. If for example, you are expecting an inheritance, or you get a set yearly bonus, you can use these tools to compare how applying that windfall to your debt can affect your loan’s maturity date and your interest cost over the life of the loan.

In addition to mortgages, car loans and personal loans are also amortizing for a term set in advance, at a fixed interest rate with a set monthly payment. The terms vary depending on the asset. Most conventional home loans are 15- or 30-year terms. Car owners often get an auto loan that will be repaid over five years or less. For personal loans, three years is a common term.

Formulas Used in Amortization Schedules

Borrowers and lenders use amortization schedules for installment loans that have payoff dates that are known at the time the loan is taken out, such as a mortgage or a car loan. There are specific formulas that are used to develop a loan amortization schedule. These formulas may be built into the software you are using, or you may need to set up your amortization schedule from scratch.

If you know the term of a loan and the total periodic payment amount, there is an easy way to calculate a loan amortization schedule without resorting to the use of an online amortization schedule or calculator. The formula to calculate the monthly principal due on an amortized loan is as follows:

Principal Payment = Total Monthly Payment – [Outstanding Loan Balance x (Interest Rate / 12 Months)]

To illustrate, imagine a loan has a 30-year term, a 4.5% interest rate, and a monthly payment of $1,266.71. Starting in month one, multiply the loan balance ($250,000) by the periodic interest rate. The periodic interest rate is one-twelfth of 4.5% (or 0.00375), so the resulting equation is $250,000 x 0.00375 = $937.50. The result is the first month’s interest payment. Subtract that amount from the periodic payment ($1,266.71 – $937.50) to calculate the portion of the loan payment allocated to the principal of the loan’s balance ($329.21).

To calculate the next month’s interest and principal payments, subtract the principal payment made in month one ($329.21) from the loan balance ($250,000) to get the new loan balance ($249,670.79), and then repeat the steps above to calculate which portion of the second payment is allocated to interest and which is allocated to the principal. You can repeat these steps until you have created an amortization schedule for the full life of the loan.

An Easier Way to Calculate an Amortization Schedule

Calculating an amortization schedule is as simple as entering the principal, interest rate, and loan term into a loan amortization calculator. But you can also calculate it by hand if you know the rate on the loan, the principal amount borrowed, and the loan term.

How to Calculate the Total Monthly Payment

Typically, the total monthly payment is specified by your lender when you take out a loan. However, if you are attempting to estimate or compare monthly payments based on a given set of factors, such as loan amount and interest rate, you may need to calculate the monthly payment as well.

If you need to calculate the total monthly payment for any reason, the formula is as follows:

Total Monthly Payment = Loan Amount [ i (1+i) ^ n / ((1+i) ^ n) – 1) ]

where:

• i = monthly interest rate. You’ll need to divide your annual interest rate by 12. For example, if your annual interest rate is 6%, your monthly interest rate will be .005 (.06 annual interest rate / 12 months).
• n = number of payments over the loan’s lifetime. Multiply the number of years in your loan term by 12. For example, a 30-year mortgage loan would have 360 payments (30 years x 12 months).

Using the same example from above, we will calculate the monthly payment on a $250,000 loan with a 30-year term and a 4.5% interest rate. The equation gives us $250,000 [(0.00375 (1.00375) ^ 360) / ((1.00375) ^ 360) – 1) ] = $1,266.71. The result is the total monthly payment due on the loan, including both principal and interest charges.

30-Year vs. 15-Year Amortization Table

If a borrower chooses a shorter amortization period for their mortgage—for example, 15 years—they will save considerably on interest over the life of the loan, and they will own the house sooner. That’s because they’ll make fewer payments for which interest will be amortized. Additionally, interest rates on shorter-term loans are often at a discount compared to longer-term loans.

There is a tradeoff, however. A shorter amortization window increases the monthly payment due on the loan. Short amortization mortgages are good options for borrowers who can handle higher monthly payments without hardship; they still involve making 180 sequential payments (15 years x 12 months).

It’s important to consider whether or not you can maintain that level of payment based on your current income and budget.

Using an amortization calculator can help you compare loan payments against potential interest savings for a shorter amortization to decide which option suits you best. Here’s what a $500,000 loan with a 6% interest rate would look like, with a hypothetical 30-year and 15-year schedule to compare:

What Is Additional Paid-in Capital (APIC)?

Additional paid-in capital (APIC) is an accounting term referring to money an investor pays above and beyond the par value price of a stock.

Often referred to as “contributed capital in excess of par,” APIC occurs when an investor buys newly-issued shares directly from a company during its initial public offering (IPO) stage. APIC, which is itemized under the shareholder equity (SE) section of a balance sheet, is viewed as a profit opportunity for companies as it results in them receiving excess cash from stockholders.

How Additional Paid-in Capital (APIC) Works

During its IPO, a firm is entitled to set any price for its stock that it sees fit. Meanwhile, investors may elect to pay any amount above this declared par value of a share price, which generates the APIC.

Let us assume that during its IPO phase the XYZ Widget Company issues one million shares of stock, with a par value of $1 per share, and that investors bid on shares for $2, $4, and $10 above the par value. Let us further assume that those shares ultimately sell for $11, consequently making the company $11 million. In this instance, the APIC is $10 million ($11 million minus the par value of $1 million). Therefore, the company’s balance sheet itemizes $1 million as “paid-in capital,” and $10 million as “additional paid-in capital.”

Once a stock trades in the secondary market, an investor may pay whatever the market will bear. When investors buy shares directly from a given company, that corporation receives and retains the funds as paid-in capital. But after that time, when investors buy shares in the open market, the generated funds go directly into the pockets of the investors selling off their positions.

Special Considerations

APIC is generally booked in the SE section of the balance sheet. When a company issues stock, there are two entries that take place in the equity section: common stock and APIC. The total cash generated by the IPO is recorded as a debit in the equity section, and the common stock and APIC are recorded as credits.

The APIC formula is:

APIC = (Issue Price – Par Value) x Number of Shares Acquired by Investors.

Par Value

Due to the fact that APIC represents money paid to the company above the par value of a security, it is essential to understand what par actually means. Simply put, “par” signifies the value a company assigns to stock at the time of its IPO, before there is even a market for the security. Issuers traditionally set stock par values deliberately low—in some cases as little as a penny per share—in order to preemptively avoid any potential legal liability, which might occur if the stock dips below its par value.

Market Value

Market value is the actual price a financial instrument is worth at any given time. The stock market determines the real value of a stock, which shifts continuously as shares are bought and sold throughout the trading day. Thus, investors make money on the changing value of a stock over time, based on company performance and investor sentiment.

Additional Paid-in Capital vs. Paid-in Capital

Paid-in capital, or contributed capital, is the full amount of cash or other assets that shareholders have given a company in exchange for stock. Paid-in capital includes the par value of both common and preferred stock plus any amount paid in excess.

Additional paid-in capital, as the name implies, includes only the amount paid in excess of the par value of stock issued during a company’s IPO.

Both of these items are included next to one another in the SE section of the balance sheet.

Benefits of Additional Paid-in Capital

For common stock, paid-in capital consists of a stock’s par value and APIC, the latter of which may provide a substantial portion of a company’s equity capital, before retained earnings begin to accumulate. This capital provides a layer of defense against potential losses, in the event that retained earnings begin to show a deficit. 

Another huge advantage for a company issuing shares is that it does not raise the fixed cost of the company. The company doesn’t have to make any payment to the investor; even dividends are not required. Furthermore, investors do not have any claim on the company’s existing assets.

After issuing stock to shareholders, the company is free to use the funds generated any way it chooses, whether that means paying off loans, purchasing an asset, or any other action that may benefit the company.

Correction—March 29, 2022: A previous version of this article inaccurately represented where APIC appears on the balance sheet.