Annual Percentage Rate

APR or Annual Percentage Rate should be known to everyone, at least by those who are having loan, mortgage, credit card etc., which deals with interest rate. In order to avoid bugger lenders or different credit card companies and compare the percentage rates on different loans or credit cards.

What is APR?

APR is the Annual Percentage Rate is the interest rate calculated for a whole year, rather than just a monthly fee/rate, as applied on a loan, mortgage, credit card, etc. APR tells you how much you are going to pay annually for the amount borrowed, so it is the cost of loan in terms of percentage. If your loan has a 10% rate, you’ll pay $10 per $100 you borrow annually. All other things being equal, you simply want the loan with the lowest APR.

Why it is necessary to know APR?

The fees included within the APR vary from one lender to another. The fees included within the APR involve charges related to the making of the loan and other fees such as title fee, escrow fee, attorney fee, tax service fee, home inspection fee, recording fee and credit report fee. The fees for the preparation of loans include loan processing fee, underwriting fee, document preparation fee, private mortgage insurance, loan application fee, credit life insurance and appraisal fee. Lenders often mislead borrowers by charging hidden fees. In order to reduce the confusion, US Government made the provision that the lenders have to quote APR to potential borrower, as per the Truth in Lending Act.

For example if the APR is 36%, the percentage is 3% per month, but the interest rate or cost of funds for the entire year may be greater than 36% due to the effects of compounding. By law, a credit card company or other lender must inform the customer of the APR before any agreement is signed. The APR provides the customer with a convenient number against which to compare the cost of funds for other loans or investments.

So you have to do some research work before applying for any loan, mortgage or credit card and find out which is having lowest APR.

How is APR Calculated?

APR is the equivalent interest rate considering all the added costs to a given loan. Naturally, it is a function of the loan amount, the interest rate, the total added cost, and the terms. The APR would equal the interest rate if there is no additional costs to a given loan.



1) For example, consider a $100 loan which must be repaid after one month, at 5% interest, plus a $10 fee. If the fee is neglected, this loan has a (year-long) effective APR of approximately 79% (1.05^12 =~1.7958). If the $10 fee were considered, the interest increases by 10% ($10/$100) for the month, with the effective APR being approximately 435% (1.15^12 =~5.3502, as 535%-100%=435%). Hence there are at least two possible "effective APRs": 79% and 435%.

2) For example, a credit card company might charge 1% a month, but the APR is 1% x 12 months = 12%. This differs from annual percentage yield, which also takes compound interest into account.


What are APR Limitations?

Unfortunately, all other things are not equal. APR can include more than just the interest cost of a loan. On a mortgage, APR might include Private Mortgage Insurance, processing fees, and discount points. There are other fees and charges that may or may not be included in a given APR quote. Therefore, you need to look closely at each and every APR.

You can’t simply rely on an APR quote to evaluate a loan. You need to look at each and every charge and expense related to your prospective loan in order to judge whether or not you’re getting a good deal. In addition, look at the bigger picture – you need to know how long you’ll be using a loan to make the best decision. For example, one-time charges up front may drive up your actual cost on a loan – even though an APR calculation might assume those charges are spread out over a longer lifetime (and therefore the APR would look lower).

APR Calculator:

1) Loan Amount (C):----------- 2) Extra Cost (E):---------- (The Extra Cost (E) is the lump sum of all extra costs involved in the loan, which include points, application fee, closing cost, processing fee, title fee, and so on. In short, it's the money you borrowed that you never saw.)
3) Interest Rate % (R):------- 3) No. of Months (N):-------
4) APR (A):------------------- 6) APR (A):----------------- Calculator

The calculator first calculates the monthly payment using C+E and the original interest rate r = R/1200:

P = (C+E)r(1+r)N/(1+r)N-1

The APR (a = A/1200) is then calculated iteratively by solving the following equation using the Newton-Raphson method:

{a(1+a)N)/(1+a)N-1) – P/C = 0