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traditional fixed-rate mortgage payment consist of two parts: (1) interest on
the loan and (2) payment towards the principal, or unpaid balance of the loan.
(There are also taxes and insurance but let's concentrate on just the mortgage
here.)
Many people are surprised
to learn, however, that the amount you pay towards interest and principal varies
dramatically over time. This is because mortgage loans work in such a way that
the early payments are primarily in interest, and
the later payments are primarily towards the principal.
How much interest?
To help calculate monthly payments for loans based on different
interest rates, lenders long ago developed what are known as "amortization
tables." These tables also make it fairly easy to calculate how much money
of each payment is interest, and how much goes towards the principal balance.
For example, consider
the first monthly payment of a 30-year, $100,000 mortgage loan at 7.5 percent
interest. According to the amortization tables, the monthly payment on this loan
is fixed at $699.21.
The first step in calculating
the annual interest is multiplying $100,000 x .075 (7.5 %). This equals $7,500,
which we now divide by 12 (for the number of months in a year), which equals $625.
If you subtract $625 from
the monthly payment of $699.21, we see that:
- $625 of the first payment
is interest
- $74.21 of the first payment
goes towards the principal
Next, if we subtract $74.21
(the first principal payment) from the $100,000 of the loan, we come up with a
new unpaid principal balance of $99,925.79. To determine the next month's principal
and interest payments, we just repeat the steps already described.
Thus, we now multiply
the new principal balance (99,925.79) times the interest rate (7.5%) to get an
annual interest payment of $7,494.43. Divided by 12, this equals $624.54. So during
the second month's payment:
- $624.54 is interest
- $74.67 goes towards the
principal.
Note: In Canada, payments
are compounded semi-annually instead of monthly.
Equity
As you can see from
the above example, even though you pay a lot of interest up front, you're also
slowly paying down the overall debt. This is known as building
equity. Thus, even if you sell a house before the loan is paid in full,
you only have to pay off the unpaid principal balance--the difference between
the sales price and the unpaid principle is your equity.
In order to build equity
faster--as well as save money on interest payments--some homeowners choose
loans with faster repayment schedules (such as a 15-year loan).
Time versus savings
To help illustrate how this works, consider our previous example of a $100,000
loan at 7.5 percent interest. The monthly payment is around $700, which over 30
years adds up to $252,000. In other words, over the life of the loan you would
pay $152,000 just in interest.
With the aggressive repayment
schedule of a 15-year loan, however, the monthly payment jumps to $927-for a total
of $166,860 over the life of the loan. Obviously, the monthly payments are more
than they would be for a 30-year mortgage, but over the life of the loan you would
save more than $85,000 in interest.
Bear in mind that shorter
term loans are not the right answer for everyone, so make sure to ask your lender
or real estate agent about what loan makes the best sense for your individual
situation. |