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 Thank You Letter Scholarships
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Find a Job You Really Want In
 Glossary
 What Is Gross Monthly Income?
 What Is Management?
 What Is A Problem Statement?
 What Is Annual Net Income?
 What Is A Letter Of Transmittal?
 What Is Attrition?
 What Doe White Collar Mean?
 What Doe Blue Collar Mean?
 What Is Efficiency Vs Effectiveness?
 What Is A Dislocated Worker?
 What Is Human Resource (HR)?
 Thank You Letter Scholarships
 What Is Constructive Criticism?
 What Is A Quarter Life Crisis?
 What Is Imposter Syndrome?
 What Is Notes Payable?
 Types Of Communication
 Formulas
Your annual percentage rate (APR) is the interest rate paid each year on your loan, credit card, or another form of credit. Borrowing money from an institution has a cost to it. Banks and other financial institutions charge a certain percentage of the money borrowed from them to make a profit. APR is a percentage of your total balance due.
When borrowing money, it’s essential to keep in mind that the cost of the goods or services you bought with that money will increase with interest. For many people, we are most familiar with borrowing money in the form of a credit card. Being knowledgeable about your APR helps you make the best decisions around your loans and credit cards, and reminds you that there can be a real cost of convenient paying.
In this article, we explain how APR and associated concepts are defined, as well as types of APR and how to calculate it.
What Is Annual Percentage Rate (APR)?
APR is the full cost of borrowing from a bank or financial institution over the course of one year. It considers all the various costs associated with borrowing money, such as late fees, extra charges, administrative fees, and more. This makes it a great way to calculate the total cost of borrowing.
Put another way, the APR of a given loan is the total amount of interest paid each year, represented as a percentage of the loan. For instance, if a credit card has an APR of 10%, you would pay around $1,000 a year for every $10,000 borrowed. However, keep in mind that APR does not consider the possible compounding effect of interest.
APR is used to compare the costs of borrowing money from different lenders. If all other factors are equivalent, the credit card or loan with the lowest APR is going to be the least expensive.
However, a critical factor to consider is whether or not there is a “grace period” associated with your credit card (or other borrowed money). Grace periods, which most credit cards have, allow you to avoid paying any interest on your credit card if you can pay off your balance in full each month.
With this in mind, grace periods can help you to avoid the associated costs of APR. It’s always a good idea to check with your credit card issuer to determine your grace period’s terms and conditions.
Generally, credit card owners who can completely pay off their bills on time are not affected by APR. APR is determined based on the remaining unpaid balance, so if the card is regularly paid in full by the time the money is due, the APR does not apply.
Types of APR
A credit card’s APRs depend on the charges made. For instance, your lender may charge one APR for balance transfers from a different card, a second APR for purchases, and a third APR for cash advances. It’s also likely that your lender has penalty APRs set at high rates for customers who violate the terms of their cardholder agreement or don’t pay off their balance on time.
Some credit card companies may use an introductory APR as a marketing tactic to incentivize signing up for their card. These APRs are low or even 0%, in an attempt to attract new customers.
Your specific APRs are usually going to be based mainly on your credit score. Those with excellent credit are offered loans with much lower interest rates than those with bad credit.
Unfortunately, if you have been unable to pay off loans in time, your interest rates on borrowed money will be higher. That’s because you are seen as more of a potential liability to the financial institution (and more of a potential source of profit, but that is a discussion for another day).
Typically, loans come with either a fixed APR or a variable APR. The fundamental difference between these two is that a fixed APR loan has a set interest rate that will not change, and a variable APR loan has an interest rate that can change at any time.
In a fixed APR loan, the interest rate applied to a principal amount borrowed is guaranteed not to change. This means that the APR you calculate based upon your interest rate will also not change. The amount paid each year for money borrowed will remain at the same proportional rate.
In a variable APR loan, the interest rate applied to the principal amount occasionally changes, and the APR changes along with it. This change is dependent on changes in the U.S. prime lending rate or other indexes. The borrower is subject to pay more if there is an upward change in interest.
Typically, credit cards come with a variable rate, but certain cards, such as retail store cards, may have a fixed rate. Even a fixed rate is subject to change, though, but there are usually policies outlining how many days in advance you must be notified before this change occurs.
How to Calculate APR
Calculating the APR of a loan involves, as you might have guessed, a fair bit of mathematics. For those of us who are not so excited at the prospect of solving math equations by hand, this online APR calculator may be of great use.
However, suppose you’d like to get into the specifics of how to calculate APR. In that case, you need to consider the principal amount, the number of years the loan lasts, and all of the extra charges associated with the loan outside of the interest.
The steps for calculating APR are as follows:

Calculate interest rate.

Add administrative fees to the amount of interest.

Divide by principal amount and number of periods of the loan, multiply all by one year and 100 .
The Formula for calculating APR looks like this:
APR = (Fees + Interest) x 1 year x 100 / Principal amount, number of periods for loan
Here’s an example to help clarify:
You borrow $2,000 at a 5% interest rate for two years. The administrative fees amount to $200.
To find your APR, first, you’ll calculate the interest on the loan by using the following formula:
A = (P(1+rt)
A = total accumulated amount, P = principal amount, r = interest rate, t = time period.Following our example, P = $2000, r = 5% and t = 2 years. Thus, A = (2000(1+0.05×2)). When we solve this, it works out to A = $2,200.
Interest accumulated = A – P. $2200 – $2000 = $200, so we have interest = $200.
In the next step, you’ll add this interest to the administrative fees (fees + interest in the APR formula). The administrative fees are $200, so $200 + $200 = $400.
In the final step, you’ll divide the principal loan amount and the number of periods. Then you’ll multiply by one and 100 to come up with a percentage.
APR = (400/2000) / 2 x 1 x 100 = 10%
Now we know that the APR on this loan is 10%
These calculations can help find out the true cost of loans. It may appear at first that the interest rate on this loan is only 5%, but after calculating all of the charges, it turns out that this loan is actually 10% annually.
APR vs. APY
You may be in a situation where your loan is not calculated based on a simple interest rate. For instance, if your interest is compounded, as is the case for longterm loans such as mortgages and student loans, calculating APR will not be specific. This is because these loans are not based on simple interest models.
If you want to calculate the interest on a loan while taking into account the compounding effect of the interest, you should use annual percentage yield (APY) rather than APR.
APY is also the amount earned from a savings deposit, taking into consideration the compounding interest. APY will tell you the full amount that savings or investments will net over a given period of time.
APY tends to measure what a lender might gain when investing money somewhere, accounting for the number of times the investment is compounded.
The formula for finding APY is as follows:
APY = 100[(1 + interest/ principal amount) ^ (365/days in loan term) – 1]
And here’s an example to clarify:
You receive an interest of $40 for depositing an amount of $2000 in the bank.
APY = 100[(1 + 40/2000)^(365/365) 1], when we solve this, we get APY = 2%
Differences Between APR and Nominal Interest Rate
A nominal interest rate is sort of like a fake interest rate. It represents the interest rate without accounting for inflation, and it is not used in any official calculations by financial institutions. To get the real interest rate, you have to adjust the nominal interest rate for inflation.
The use of nominal interest rates is in creating a foundational interest rate that can then be further calculated to determine the actual interest rate. It is also usually the interest rate that banks use in advertisements and promotional material.
If you make an investment or a deposit within a bank, the money you make on this investment will be determined by the real interest rate. The real interest rate, again, is the nominal rate adjusted for inflation. This rate can increase, earning more money for the investor, or decrease, making less money for the investor.
The differences between APR and nominal interest rate, in general, have to do with the factors involved in the calculations and how these calculations are used. APR tells you the total cost of borrowing each year, whereas the nominal interest rate is used to determine how much money will be earned from a borrowed amount.
The APR is usually a more useful tool, as it is adjusted for inflation and considers the other noninterest costs associated with borrowing money. APR can help to more accurately compare loans, while nominal interest rate comparisons might be misleading.
Disadvantages of APR
APR can be a helpful tool for determining how much, in full, it will cost to borrow money. However, APR also has some downsides as a comparison tool, especially if it is the only tool being used.
If you plan to pay your loan in fullterm, APR can be useful, but if you for any reason have to refinance your loan, its usefulness goes out the window. Your initial APR calculations and comparisons may prove to be obsolete if you refinance your loan, as the terms and conditions of getting a new APR from a new lender will be different.
It’s essential to calculate the APR of all of the lenders you are considering, as they can vary greatly. Make sure to be aware of any extra costs associated with borrowing and whether the interest rate is fixed or variable. In the case of variable interest rates, APR will typically not be a great tool of comparison because it can change at any time.
Finally, as mentioned previously, if there is a compounding effect on your interest rate, APR will likely not be an accurate tool of comparison.
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