Originally posted by: dullard
Suppose you borrow $10,000 from me. And suppose I charge you interest once a year on the remaining balance at a 10% interest rate. After one year, you owe me $1,000 in interest (10% of $10,000). Total owed is $11,000.
Now suppose instead I charge you interest twice a year on the remaining balance. Six months in, you owe me $500 interest (half a years interest on $10,000). Then six months later you owe me $525 interst (half a years interest on $10,500). Total you owe me is $11,025.
See the difference? In the second case, you owe interest on the interest. So effectively you owed me 10.025% interest on that $10,000 after one year. This 10.025% number is the APR. The rate is the same in both cases: 10%. Note: mortgage interest is often done on a monthly basis, so you owe interest on the interest 12 times in that year. The APR can be noticibly higher than the rate in that case. Always use APR to compare one loan to another.