APR is a representation of the interest rate. However, the two are not exactly the same. As the name suggests, APR is an annualized term. As many of you are probably aware, interest doesn’t wait around a whole year before it kicks in. In fact, most credit cards will compound interest on a daily basis. We explain how to convert APR into an effective interest rate (which is what you actually pay) below. Here we'll focus on giving you an idea of the total scope of APR - from its different forms to when it applies.
If you’ve looked at the terms & conditions of a credit card, you’ll notice that there is a number of different APR rates. These all apply to different ways in which you choose to take out credit with your financial organization:
Purchase APR. The APR that will be applied to all purchases you make with your credit card. Pretty self-explanatory, as far as these terms go. This is the most common interest rate, and the one we tend to think of first when looking at credit cards.
Balance Transfer APR. If you moved or transferred an old balance onto your new credit card, it will be charged this APR. While uncommon, it is possible for the balance transfer APR of a card to be greater than the Purchase APR.
Penalty APR. If you become delinquent in credit card payments – that is, if you don’t pay the minimum amount due for 60+ days – all the balances on your account will begin getting charged this rate. As you might have guessed, this is not a favorable deal – unless you’re the bank. Penalty APR is significantly higher than any other interest rate. The typical penalty APR is 29.9%. This number is no coincidence – banks are not allowed to charge you an interest higher than this. We will explore this topic more in a section below.
Cash Advance APR. If you use your credit card to get funds (via an ATM withdrawal, etc.), you will be charged this rate of interest – separate from all the others. This is usually not as high as the Penalty APR, but tends to be greater than purchase/balance transfer APRs. What makes cash advance APR a dangerous foe is that it does not come with a grace period. That is, you start getting charged the cash advance interest the day you take it out. We explain what a “grace period” is in the section below.
APR vs Interest Rate: How to Calculate Credit Card Interest
Unfortunately, the way in which APR is expressed is not very intuitive. Knowing your credit card charges 15% interest, for example, doesn’t give you an immediate understanding of how much interest you will pay on your next month’s bill, if you have a balance of $5,000. In this section, we will work through an example of how credit card interest is determined, in order to show you how to calculate actual credit card interest from APR.
To calculate credit card interest for the month, you must use the following formula (with a few variations included):
Total Credit Card Interest for Month = Balance x Daily Periodic Rate x Number of Days in Billing Cycle
You might wondering: where is the APR in that formula? It’s in there, just hidden. The key figure used in calculating your monthly interest is called the Daily Periodic Rate (DPR). This is because, as stated previously, interest is accumulated daily, while APR is the annual periodic rate. Therefore, to obtain your DPR you simply divide APR by the number of days in a year. Which, assuming the rotation or revolution velocities of Earth do not change, is 365 days. Therefore, we can rewrite the above formula as:
Total Interest = Balance x (APR / 365) x Number of Days in Billing Cycle
The number of days in a billing cycle is the simplest term. It’s just the number of days between bills. Therefore this number will vary with the number of days in a month.
The term “balance” is the most confusing topic that deserves its own article. It’s really a placeholder for one of many different terms, such as “average daily balance” or “adjusted balance”. Different financial institutions will have different ways of calculating that balance – the two methods we mentioned here are the most common. Average daily balance, the most common, is calculated by adding up your balance at the end of each day, then dividing the sum total by the number of days in the billing cycle. This means even if you only buy one thing at the beginning of the month, that balance will carry throughout the month when determining interest expense. Therefore, we can once again re-write the formula for interest, with our newfound knowledge of average daily balance as:
Total Interest = Sum of Daily Balances X (APR / 365)
You’ll note that the number of days in a period canceled out, after we combined the two formulas. The result is nice and simple. If your balance has more than one APR, the result is a little more complicated. Total interest in that case is just the sum of the above formula, for each individual APR and balance. We can write that in an elegant way using the following formula: ∑ Balance_n x (APR_n / 365), where n is the number of APRs and their corresponding balances.
Let’s get back to the example we had in the beginning of this section. Say you have an APR of 15%, and a balance of $5,000. For simplicity’s sake, we will assume that you made that $5,000 charge on the last day of your billing cycle. In that case the interest paid will be: ($5,000) x (0.15/365) = $2.05.
Why is Paying APR a Bad Deal?
If you read the above example, you may get the impression that APR is a joke. A $2 fee on a $5,000 line of credit doesn’t seem so bad. It comes out to just 0.041% of the total. However, don’t forget that we assumed the purchase was made at the end of the billing cycle – you effectively paid it off the day after your purchase. But, think about what happens if that same scenario is changed slightly. Instead of making that $5,000 purchase at the end of the billing cycle, you make it at the beginning. The sum of daily balances equals $125,000 (assuming a 25 day billing cycle). The interest rate, therefore, becomes $125,000 x (0.15/365) = $51.40! The interest all of a sudden goes from being just 0.041% of the total, to 1%!
By paying interest, you are paying more for items than they are worth. Let’s continue with our example from above. If you bought a $5,000 TV, you probably did so because you deemed it to be worth $5,000. However, if it takes you a long time to pay that item off, and by the time you are done, you have paid $200 in interest, that purchase ended up costing you a total of $5,200. It’s an often overlooked concept. It is important that we understand the true cost of the items and services we purchase – otherwise, we might end up making a decision we otherwise would not have, given all the information.
This is why we always urge our readers to pay off their credit card balances in full – before interest is charged. Small purchases like socks, meals, and movie tickets are rarely worth more than what you are paying for them. Therefore, paying interest on top of that price is a bad deal.
By: Robert Harrow
SOURCE: Value Penguin