Excluding
property taxes and insurance, a 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. 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.
In
the beginning... you pay 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,
let's calculate the principle and interest for the
very 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
is to calculate the annual interest by multiplying
$100,000 x .075 (7.5 %). This equals $7,500, which
we then 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. |