Annual Percentage Rate (APR)
In comparing any type of loan, whether it be a fixed rate loan
to a fixed rate loan, adjustable rate loan to adjustable rate
loan or fixed rate loan to adjustable rate loan, there is one
way that can be used to compare apples to apples and even apples
to oranges.
APRs are designed to do just that. APRs are a
way to calculate the annual cost of loans, taking into consideration
loan origination fees (points) and the other costs associated
with securing a loan. The additional costs include appraisal
and credit report fees as well as processing and document fees.
One confusing aspect of APRs is that the APR
on 15 year loans will carry a higher relative rate due to the
fact that the points are amortized over the 15 year term rather
than the 30 year term. When a Regulation Z (Reg Z, the mortgage
companies disclosure of cost for the loan) is prepared for a
buyer/borrower the prepaid interest is also included in the
APR calculation. For our illustrations we will use only the
points, appraisal, credit report, processing and document fees.
As a means of protecting consumers from companies
who did not disclose the fees associated with a particularly
low start rate on an adjustable rate loan or below market rate
on a fixed rate loan, APRs give consumers a way to check the
true cost of a loan.
One common situation that occurs when a borrower
receives a Reg Z, and a copy of their note, is the column that
indicates the amount financed is less than the loan amount the
borrower is actually financing. It is here that many borrowers
leap before they look and call to find out why they are only
receiving a $146,925 loan when they applied for a $150,000 loan.
It is here that APRs enter the picture.
Let's look at how APRs are calculated. For our
illustration we will assume a 8.50% fixed rate interest. For
a 30 year loan the monthly payments for a $150,000 loan are
$1,153.37.
In order to calculate the APR for this loan we
subtract $2,250.00 (1.50 points), $275.00 appraisal fee, $50.00
credit report fee, $500.00 processing, document and other fees.
($150,000 - $3,0750 = $146,925). The $146,925 is then used as
the present value/loan amount to determine the true cost of
this loan. By solving for the new interest rate for a $146,925
loan with the same payment of $1,153.37, the APR is calculated
as 8.73%.
How does this compare to a 30 year fixed rate
loan with a 8.00% interest rate and 3.50 points? The monthly
payments for this loan is $1,100.65.
In order to calculate the APR for this
loan we subtract $5,255.00 (3.50 points), $275.00 appraisal
fee, $50.00 credit report fee, $500.00 processing, document
and other fees. ($150,000 - $6,075 = $143,925). The $143,925
is then used as the present value/loan amount to determine the
true cost of this loan. By solving for the new interest rate
for a $143,925 loan with the payment of $1,100.65 the APR is
calculated as 8.44%.
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