What Is Annual Percentage Rate (APR)?

Annual percentage rate (APR) refers to the yearly interest generated by a sum that’s charged to borrowers or paid to investors. APR is expressed as a percentage that represents the actual yearly cost of funds over the term of a loan or income earned on an investment. This includes any fees or additional costs associated with the transaction but does not take compounding into account. The APR provides consumers with a bottom-line number they can compare among lenders, credit cards, or investment products.

How the Annual Percentage Rate (APR) Works

An annual percentage rate is expressed as an interest rate. It calculates what percentage of the principal you’ll pay each year by taking things such as monthly payments and fees into account. APR is also the annual rate of interest paid on investments without accounting for the compounding of interest within that year.

The Truth in Lending Act (TILA) of 1968 mandates that lenders disclose the APR they charge to borrowers. Credit card companies are allowed to advertise interest rates on a monthly basis, but they must clearly report the APR to customers before they sign an agreement.

How Is APR Calculated?

APR is calculated by multiplying the periodic interest rate by the number of periods in a year in which it was applied. It does not indicate how many times the rate is actually applied to the balance.

$\begin{aligned} &\text{APR} = \left ( \left ( \frac{ \frac{ \text{Fees} + \text{Interest} }{ \text {Principal} } }{ n } \right ) \times 365 \right ) \times 100 \\ &\textbf{where:} \\ &\text{Interest} = \text{Total interest paid over life of the loan} \\ &\text{Principal} = \text{Loan amount} \\ &n = \text{Number of days in loan term} \\ \end{aligned}$​APR=((nPrincipalFees+Interest​​)×365)×100where:Interest=Total interest paid over life of the loanPrincipal=Loan amountn=Number of days in loan term​

Types of APRs

Credit card APRs vary based on the type of charge. The credit card issuer may charge one APR for purchases, another for cash advances, and yet another for balance transfers from another card. Issuers also charge high-rate penalty APRs to customers for late payments or violating other terms of the cardholder agreement. There’s also the introductory APR—a low or 0% rate—with which many credit card companies try to entice new customers to sign up for a card.

Bank loans generally come with either fixed or variable APRs. A fixed APR loan has an interest rate that is guaranteed not to change during the life of the loan or credit facility. A variable APR loan has an interest rate that may change at any time.

The APR borrowers are charged also depends on their credit. The rates offered to those with excellent credit are significantly lower than those offered to those with bad credit.

APR vs. Annual Percentage Yield (APY)

Though an APR only accounts for simple interest, the annual percentage yield (APY) takes compound interest into account. As a result, a loan’s APY is higher than its APR. The higher the interest rate—and to a lesser extent, the smaller the compounding periods—the greater the difference between the APR and APY.

Imagine that a loan’s APR is 12%, and the loan compounds once a month. If an individual borrows $10,000, their interest for one month is 1% of the balance, or $100. That effectively increases the balance to $10,100. The following month, 1% interest is assessed on this amount, and the interest payment is $101, slightly higher than it was the previous month. If you carry that balance for the year, your effective interest rate becomes 12.68%. APY includes these small shifts in interest expenses due to compounding, while APR does not.

Here’s another way to look at it. Say you compare an investment that pays 5% per year with one that pays 5% monthly. For the first month, the APY equals 5%, the same as the APR. But for the second, the APY is 5.12%, reflecting the monthly compounding.

Given that an APR and a different APY can represent the same interest rate on a loan or financial product, lenders often emphasize the more flattering number, which is why the Truth in Savings Act of 1991 mandated both APR and APY disclosure in ads, contracts, and agreements. A bank will advertise a savings account’s APY in a large font and its corresponding APR in a smaller one, given that the former features a superficially larger number. The opposite happens when the bank acts as the lender and tries to convince its borrowers that it’s charging a low rate. A great resource for comparing both APR and APY rates on a mortgage is a mortgage calculator.

APR vs. APY Example

Let’s say that XYZ Corp. offers a credit card that levies interest of 0.06273% daily. Multiply that by 365, and that’s 22.9% per year, which is the advertised APR. Now, if you were to charge a different $1,000 item to your card every day and waited until the day after the due date (when the issuer started levying interest) to start making payments, you’d owe $1,000.6273 for each thing you bought.

To calculate the APY or effective annual interest rate—the more typical term for credit cards—add one (that represents the principal) and take that number to the power of the number of compounding periods in a year; subtract one from the result to get the percentage:

$\begin{aligned} &\text{APY} = (1 + \text{Periodic Rate} ) ^ n – 1 \\ &\textbf{where:} \\ &n = \text{Number of compounding periods per year} \\ \end{aligned}$​APY=(1+Periodic Rate)n−1where:n=Number of compounding periods per year​

In this case your APY or EAR would be 25.7%:

$\begin{aligned} &( ( 1 + .0006273 ) ^ {365} ) – 1 = .257 \\ \end{aligned}$​((1+.0006273)365)−1=.257​

If you only carry a balance on your credit card for one month’s period, you will be charged the equivalent yearly rate of 22.9%. However, if you carry that balance for the year, your effective interest rate becomes 25.7% as a result of compounding each day.

APR vs. Nominal Interest Rate vs. Daily Periodic Rate

An APR tends to be higher than a loan’s nominal interest rate. That’s because the nominal interest rate doesn’t account for any other expense accrued by the borrower. The nominal rate may be lower on your mortgage if you don’t account for closing costs, insurance, and origination fees. If you end up rolling these into your mortgage, your mortgage balance increases, as does your APR.

The daily periodic rate, on the other hand, is the interest charged on a loan’s balance on a daily basis—the APR divided by 365. Lenders and credit card providers are allowed to represent APR on a monthly basis, though, as long as the full 12-month APR is listed somewhere before the agreement is signed.

Disadvantages of Annual Percentage Rate (APR)

The APR isn’t always an accurate reflection of the total cost of borrowing. In fact, it may understate the actual cost of a loan. That’s because the calculations assume long-term repayment schedules. The costs and fees are spread too thin with APR calculations for loans that are repaid faster or have shorter repayment periods. For instance, the average annual impact of mortgage closing costs is much smaller when those costs are assumed to have been spread over 30 years instead of seven to 10 years.

APR also runs into some trouble with adjustable-rate mortgages (ARMs). Estimates always assume a constant rate of interest, and even though APR takes rate caps into consideration, the final number is still based on fixed rates. Because the interest rate on an ARM will change when the fixed-rate period is over, APR estimates can severely understate the actual borrowing costs if mortgage rates rise in the future.

Mortgage APRs may or may not include other charges, such as appraisals, titles, credit reports, applications, life insurance, attorneys and notaries, and document preparation. There are other fees that are deliberately excluded, including late fees and other one-time fees.

All this may make it difficult to compare similar products because the fees included or excluded differ from institution to institution. In order to accurately compare multiple offers, a potential borrower must determine which of these fees are included and, to be thorough, calculate APR using the nominal interest rate and other cost information.

The Bottom Line

The APR is the basic theoretical cost or benefit of money loaned or borrowed. By calculating only the simple interest without periodic compounding, the APR gives borrowers and lenders a snapshot of how much interest they are earning or paying within a certain period of time. If someone is borrowing money, such as by using a credit card or applying for a mortgage, the APR can be misleading because it only presents the base number of what they are paying without taking time into the equation. Conversely, if someone is looking at the APR on a savings account, it doesn’t illustrate the full impact of interest earned over time.

APRs are often a selling point for different financial instruments, such as mortgages or credit cards. When choosing a tool with an APR, be careful to also take into account the APY because it will prove a more accurate number for what you will pay or earn over time. Though the formula for your APR may stay the same, different financial institutions will include different fees in the principal balance. Be aware of what is included in your APR when signing any agreement.

What Is an Asset-Backed Security (ABS)?

An asset-backed security (ABS) is a type of financial investment that is collateralized by an underlying pool of assets—usually ones that generate a cash flow from debt, such as loans, leases, credit card balances, or receivables. It takes the form of a bond or note, paying income at a fixed rate for a set amount of time, until maturity. For income-oriented investors, asset-backed securities can be an alternative to other debt instruments, like corporate bonds or bond funds.

Understanding Asset-Backed Securities (ABSs)

Asset-backed securities allow their issuers to raise cash, which can be used for lending or other investment purposes. The underlying assets of an ABS are often illiquid and can’t be sold on their own. So, pooling assets together and creating a financial instrument out of them—a process called securitization—allows the issuer to make illiquid assets marketable to investors. It also allows them to get shakier assets off their books, thus alleviating their credit risk.

The underlying assets of these pools may be home equity loans, automobile loans, credit card receivables, student loans, or other expected cash flows. Issuers of ABSs can be as creative as they desire. For example, asset-backed securities have been built based on cash flows from movie revenues, royalty payments, aircraft landing slots, toll roads, and solar photovoltaics. Just about any cash-producing vehicle or situation can be securitized into an ABS.

For investors, buying an ABS affords the opportunity of a revenue stream. The ABS allows them to participate in a wide variety of income-generating assets, sometimes (as noted above) exotic ones that aren’t available in any other investment.

How an Asset-Backed Security Works

Assume that Company X is in the business of making automobile loans. If a person wants to borrow money to buy a car, Company X gives that person the cash, and the person is obligated to repay the loan with a certain amount of interest. Perhaps Company X makes so many loans that it starts to run out of cash. Company X can then package its current loans and sell them to Investment Firm X, thus receiving the cash, which it can then use to make more loans.

Investment Firm X will then sort the purchased loans into different groups called tranches. These tranches contain loans with similar characteristics, such as maturity, interest rate, and expected delinquency rate. Next, Investment Firm X will issue securities based on each tranche it creates. Similar to bonds, each ABS has a rating indicating its degree of riskiness—that is, the likelihood the underlying loans will go into default.

Individual investors then purchase these securities and receive the cash flows from the underlying pool of auto loans, minus an administrative fee that Investment Firm X keeps for itself.

Special Considerations

An ABS will usually have three tranches: class A, B, and C. The senior tranche, A, is almost always the largest tranche and is structured to have an investment-grade rating to make it attractive to investors.

The B tranche has lower credit quality and, thus, has a higher yield than the senior tranche. The C tranche has a lower credit rating than the B tranche and might have such poor credit quality that it can’t be sold to investors. In this case, the issuer would keep the C tranche and absorb the losses.

Types of Asset-Backed Securities

Theoretically, an asset-based security (ABS) can be created out of almost anything that generates an income stream, from mobile home loans to utility bills. But certain types are more common. Among the most typical ABS are:

Collateralized Debt Obligation (CDO)

A CDO is an ABS issued by a special purpose vehicle (SPV). The SPV is a business entity or trust formed specifically to issue that ABS. There are a variety of subsets of CDOs, including:

• Collateralized loan obligations (CLOs) are CDOs made up of bank loans.
• Collateralized bond obligations (CBOs) are composed of bonds or other CDOs.
• Structured finance-backed CDOs have underlying assets of ABS, residential or commercial mortgages, or real estate investment trust (REIT) debt. 
• Cash CDOs are backed by cash-market debt instruments, while other credit derivatives support synthetic CDOs.
• Collateralized mortgage obligations (CMOs) are composed of mortgages—or, more precisely, mortgage-backed securities, which hold portfolios of mortgages (see below).

Though a CDO is essentially structured the same as an ABS, some consider it a separate type of investment vehicle. In general, CDOs own a wider and more diverse range of assets—including other asset-based securities or CDOs.

Home Equity ABS

Home equity loans are one of the largest categories of ABSs. Though similar to mortgages, home equity loans are often taken out by borrowers who have less-than-stellar credit scores or few assets—the reason they didn’t qualify for a mortgage. These are amortizing loans—that is, payment goes towards satisfying a specific sum and consists of three categories: interest, principal, and prepayments.

Auto Loan ABS

Car financing is another large category of ABS. The cash flows of an auto loan ABS include monthly interest payments, principal payments, and prepayments (though the latter is rarer for an auto loan ABS is much lower when compared to a home equity loan ABS). This is another amortizing loan.

Credit Card Receivables ABS

Credit card receivables—the amount due on credit card balances—are a type of non-amortizing asset ABS: They go to a revolving line of credit, rather than towards the same set sum. So they don’t have fixed payment amounts, while new loans and changes can be added to the composition of the pool. The cash flows of credit card receivables include interest, principal payments, and annual fees.

There is usually a lock-up period for credit card receivables where no principal will be paid. If the principal is paid within the lock-up period, new loans will be added to the ABS with the principal payment that makes the pool of credit card receivables staying unchanged. After the lock-up period, the principal payment is passed on to ABS investors.

Student Loan ABS

ABSs can be collateralized by either government student loans, guaranteed by the U.S. Dept. of Education, or private student loans. The former have had a better repayment record, and a lower risk of default.

An ABS will usually have three tranches: class A, B, and C. The senior tranche, A, is almost always the largest tranche and is structured to have an investment-grade rating to make it attractive to investors.

The B tranche has lower credit quality and, thus, has a higher yield than the senior tranche. The C tranche has a lower credit rating than the B tranche and might have such poor credit quality that it can’t be sold to investors. In this case, the issuer would keep the C tranche and absorb the losses.

The Bottom Line

Asset Backed Securities (ABS) are pools of loans that are packaged together into an investable security, which can in turn be bought by investors, predominantly large institutions, like hedge funds, insurance companies, and pension funds. ABS provide a method of diversification from typical bond mutual funds or individual bonds themselves. Most importantly, they are income generating assets, typically with a higher return than a normal corporate bond, all depending on the credit rating assigned to the ABS.

The underlying assets of an ABS could consist of auto loans, credit card receivables, and even more exotic investments, such as utility bills and toll roads. Such categories of ABS are referred to by different names such as CDO’s (Collateralized Debt Obligations), which are broken down into further sub-categories, such as CLO’s (Collateralized Loan Obligations). However, by far, the most popular and therefore liquid ABS are MBS (Mortgage Backed Securities), which provide an income stream from mortgage payments.

For the investor, ABS provide an income stream in line with the credit rating of the security, and offer an alternative to standard bond mutual funds.

What Is an Allowance for Doubtful Accounts?

An allowance for doubtful accounts is a contra account that nets against the total receivables presented on the balance sheet to reflect only the amounts expected to be paid. The allowance for doubtful accounts estimates the percentage of accounts receivable that are expected to be uncollectible. However, the actual payment behavior of customers may differ substantially from the estimate.

Understanding the Allowance for Doubtful Accounts

Regardless of company policies and procedures for credit collections, the risk of the failure to receive payment is always present in a transaction utilizing credit. Thus, a company is required to realize this risk through the establishment of the allowance for doubtful accounts and offsetting bad debt expense. In accordance with the matching principle of accounting, this ensures that expenses related to the sale are recorded in the same accounting period as the revenue is earned. The allowance for doubtful accounts also helps companies more accurately estimate the actual value of their account receivables.

Because the allowance for doubtful accounts is established in the same accounting period as the original sale, an entity does not know for certain which exact receivables will be paid and which will default. Therefore, generally accepted accounting principles (GAAP) dictate that the allowance must be established in the same accounting period as the sale, but can be based on an anticipated or estimated figure. The allowance can accumulate across accounting periods and may be adjusted based on the balance in the account.

How to Estimate the Allowance for Doubtful Accounts

Two primary methods exist for estimating the dollar amount of accounts receivables not expected to be collected.

Percentage of Sales Method

The sales method applies a flat percentage to the total dollar amount of sales for the period. For example, based on previous experience, a company may expect that 3% of net sales are not collectible. If the total net sales for the period is $100,000, the company establishes an allowance for doubtful accounts for $3,000 while simultaneously reporting $3,000 in bad debt expense.

If the following accounting period results in net sales of $80,000, an additional $2,400 is reported in the allowance for doubtful accounts, and $2,400 is recorded in the second period in bad debt expense. The aggregate balance in the allowance for doubtful accounts after these two periods is $5,400.

Accounts Receivable Aging Method

The second method of estimating the allowance for doubtful accounts is the aging method. All outstanding accounts receivable are grouped by age, and specific percentages are applied to each group. The aggregate of all group results is the estimated uncollectible amount.

For example, a company has $70,000 of accounts receivable less than 30 days outstanding and $30,000 of accounts receivable more than 30 days outstanding. Based on previous experience, 1% of accounts receivable less than 30 days old will be uncollectible, and 4% of those accounts receivable at least 30 days old will be uncollectible.

Therefore, the company will report an allowance of $1,900 (($70,000 * 1%) + ($30,000 * 4%)). If the next accounting period results in an estimated allowance of $2,500 based on outstanding accounts receivable, only $600 ($2,500 – $1,900) will be the adjusting entry amount.

Risk Classification Method

Some companies may classify different types of debt or different types of vendors using risk classifications. For example, a start-up customer may be considered a high risk, while an established, long-tenured customer may be a low risk. In this example, the company often assigns a percentage to each classification of debt. Then, it aggregates all receivables in each grouping, calculates each group by the percentage, and records an allowance equal to the aggregate of all products.

Historical Percentage Method

If a company has a history of recording or tracking bad debt, it can use the historical percentage of bad debt if it feels that historical measurement relates to its current debt. For example, a company may know that its 10-year average of bad debt is 2.4%. Therefore, it can assign this fixed percentage to its total accounts receivable balance since more often than not, it will approximately be close to this amount. The company must be aware of outliers or special circumstances that may have unfairly impacted that 2.4% calculation.

Pareto Analysis Method

A Pareto analysis is a risk measurement approach that states that a majority of activity is often concentrated among a small amount of accounts. In many different aspects of business, a rough estimation is that 80% of account receivable balances are made up of a small concentration (i.e. 20%) of vendors. This 80%/20% ratio is used throughout business.

Though the Pareto Analysis can not be used on its own, it can be used to weigh accounts receivable estimates differently. For example, a company may assign a heavier weight to the clients that make up a larger balance of accounts receivable due to conservatism.

Specific Identification Method

Assume a company has 100 clients and believes there are 11 accounts that may go uncollected. Instead of applying percentages or weights, it may simply aggregate the account balance for all 11 customers and use that figure as the allowance amount. Companies often have a specific method of identifying the companies that it wants to include and the companies it wants to exclude.

How to Account for the Allowance for Doubtful Accounts

Establishing the Allowance

The first step in accounting for the allowance for doubtful accounts is to establish the allowance. This is done by using one of the estimation methods above to predict what proportion of accounts receivable will go uncollected. For this example, let’s say a company predicts it will incur $500,000 of uncollected accounts receivable.

To create the allowance, the company must debit a loss. Most often, companies use an account called ‘Bad Debt Expense’. Then, the company establishes the allowance by crediting an allowance account often called ‘Allowance for Doubtful Accounts’. Though this allowance for doubtful accounts is presented on the balance sheet with other assets, it is a contra asset that reduces the balance of total assets.

• DR Bad Debt Expense $500,000
• CR Allowance for Doubtful Accounts $500,000

Adjusting the Allowance

Let’s say six months passes. The company now has a better idea of which account receivables will be collected and which will be lost. For example, say the company now thinks that a total of $600,000 of receivables will be lost. This means its allowance of $500,000 is $100,000 short. The company must record an additional expense for this amount to also increase the allowance’s credit balance.

• DR Bad Debt Expense $100,000
• CR Allowance for Doubtful Accounts $100,000

Writing Off Account

Now, let’s say a specific customer that owes a company $50,000 officially files for bankruptcy. This client’s account had previously been included in the estimate for the allowance. Because the company has a very low priority claim without collateral to the debt, the company decides it is unlikely it will every receive any of this $50,000. To properly reflect this change, the company must reduce its accounts receivable balance by this amount. On the other hand, once the receivable is removed from the books, there is no need to record an associated allowance for this account.

• DR Allowance for Doubtful Accounts $50,000
• CR Accounts Receivable $50,000

Note that the debit to the allowance for doubtful accounts reduces the balance in this account because contra assets have a natural credit balance. Also, note that when writing off the specific account, no income statement accounts are used. This is because the expense was already taken when creating or adjusting the allowance.

Recovering an Account

By miracle, it turns out the company ended up being rewarded a portion of their outstanding receivable balance they’d written off as part of the bankruptcy proceedings. Of the $50,000 balance that was written off, the company is notified that they will receive $35,000.

The company can recover the account by reversing the entry above to reinstate the accounts receivable balance and the corresponding allowance for doubtful account balance. Then, the company will record a debit to cash and credit to accounts receivable when the payment is collected. You’ll notice that because of this, the allowance for doubtful accounts increases. A company can further adjust the balance by following the entry under the “Adjusting the Allowance” section above.

• DR Accounts Receivable $35,000
• CR Allowance for Doubtful Accounts $35,000
• DR Cash $35,000
• CR Accounts Receivable $35,000

The Bottom Line

The allowance for doubtful accounts is a general ledger account that is used to estimate the amount of accounts receivable that will not be collected. A company uses this account to record how many accounts receivable it thinks will be lost. The balance may be estimated using several different methods, and management should periodically evaluate the balance of the allowance account to ensure the appropriate bad debt expense and net accounts receivables are being recorded.

What Is an Account Balance?

An account balance is the amount of money present in a financial repository, such as a savings or checking account, at any given moment. The account balance is always the net amount after factoring in all debits and credits. An account balance that falls below zero represents a net debt—for example, when there is an overdraft on a checking account. For financial accounts that have recurring bills, such as an electric bill or a mortgage, an account balance may also reflect an amount owed.

Understanding an Account Balance

Your account balance shows your total assets minus total liabilities. Sometimes this can be referred to as your net worth or total wealth because it subtracts any debts or obligations from positive sums. For specific accounts at a financial institution, such as a checking account or a brokerage account, your account balance will reflect the current sum of funds or value of that account. For investments or other risky assets, your account balance will tend to change over time as security prices rise and fall in the market.

Many other financial accounts also have an account balance. Everything from a utility bill to a mortgage account needs to show you the balance of the account. For financial accounts that have recurring bills, such as a water bill, your account balance usually shows the amount owed. An account balance can also refer to the total amount of money you owe to a third party, such as a credit card company, utility company, mortgage banker, or another type of lender or creditor.

In banking, the account balance is the amount of money you have available in your checking or savings account. Your account balance is the net amount available to you after all deposits and credits have been balanced with any charges or debits. Sometimes your account balance does not reflect the most accurate representation of your available funds, due to pending transactions or checks that have not been processed.

Examples of Account Balances

In the case of a credit card, you may have made various purchases of $100, $50, and $25 and returned another item costing $10. The account balance includes the purchases made, which total $175, but also the item returned for $10. The net of the debits and credits is $165, or $175 minus $10, and that amount is your account balance.

In the case of a checking account, if your starting balance is $500, and you received a check for $1,500 and also wrote a check or scheduled an automatic payment for $750, then your account balance might show $2,000 immediately, depending on the banking establishment. However, the true account balance is $1,250. It is important to keep track of account balances by recording every credit and debit and then reconciling your calculated balance with the bank statement balance each month.

Account Balance vs. Available Credit

For credit cards, account balances are the total amount of debt owed at the start of the statement date. Your account balance on a credit card also includes any debt rolled over from previous months, which may have accrued interest charges. Available credit is the term used alongside the account balance to indicate how much of the credit line you have left to spend.

For some bank accounts, deposits may not clear in whole or in part immediately, taking up to a few business days to show up in your account. In such situations the bank will usually indicate to you the current available balance alongside the unavailable amount that is waiting to clear.