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Annual Percentage Rate
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Annual Percentage Rate or (APR) is an expression
of the effective interest rate that will be paid on a loan, taking
into account one-time fees and standardizing the way the rate is expressed.
In other words the APR is the total cost of credit to the consumer
expressed as an annual percentage of the amount of credit granted.
APR is intended to make it easier to compare lenders and loan options.
The APR is likely to differ from the "note rate" or "headline rate"
advertised by the lender. The concept of APR can be generalized. For
example lenders use the same concept to calculate their total earnings
on loans and for determining their margin on the loan. Consumers can
use the APR concept to compare savings accounts and calculate the
earnings on a savings account, taking transaction costs into account.
In the US and the UK, lenders are required to disclose the APR before
the loan (or credit application) is finalized. APR is a term used
with regards to deposit accounts as well. However, when dealing with
deposit accounts, Annual Percentage Yield APY or Annual Equivalent
Rate AER is the number to be quoted to consumers for comparison purposes. |
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Rates
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An effective
annual interest rate of 10% can also be expressed in several ways:
0.7974% effective monthly interest rate
9.569%
annual interest rate compounded monthly
9.091% annual rate in advance.
These rates are all equivalent, but to a consumer who is not trained
in the mathematics of finance, this can be confusing. APR helps
to standardize how interest rates are compared, so that a 10% loan
is not made to look cheaper by calling it a loan at "9.1% annually
in advance".
The APR also takes into account when a loan is paid back. Suppose
a loan of $100,000 is paid back in 12 monthly terms of $8771.56.
Then at the end of the year a total of $105,258.72 has been paid.
The APR is not, however, 5.26% but 10% because the principal amount
has been paid back earlier: throughout the year instead of at the
end of the year.
In addition the APR takes costs into account. Suppose for instance
that $100,000 is borrowed with $1000 one-time fees paid in advance.
If, in the second case, equal monthly payments are made of $946.01
against 9.569% compounded monthly then it takes 240 months to pay
the loan back. If the $1000 one-time fees are taken into account
then the yearly interest rate paid is effectively equal to 10.31%.
The APR concept can also be applied to savings accounts: imagine
a savings account with 1% costs at each withdrawal and again 9.569%
interest compounded monthly. Suppose that the complete amount including
the interest is withdrawn after exactly one year. Then, taking this
1% fee into account, the savings effectively earned 8.9% interest
that year.
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Pitfalls
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Despite repeated attempts by regulators
to establish usable and consistent standards, APR does not represent
the total cost of borrowing nor does it really create a comparable
standard. Nevertheless, it is considered a reasonable starting point
for an ad-hoc comparison of lenders.
Does not represent the total cost of borrowing. Credit card
holders should be aware that most US credit cards are quoted in terms
of nominal APR compounded monthly, which is not the same as the effective
annual rate (EAR). Despite the "Annual" in APR, it is not necessarily
a direct reference for the interest rate paid on a stable balance
over one year. The more direct reference for the one-year rate of
interest is EAR. The general conversion factor for APR to EAR is EAR=((1+APR/n)^n)-1,
where n represents the number of compounding periods of the APR per
EAR period. E.g., for a common credit card quoted at 12.99% APR compounded
monthly, the one year EAR is (1+.129949/12)^12-1, or 13.7975% (see
Credit card interest for the .000049 addition to the 12.99% APR).
Note that a high US APR of 29.99% carries an effective annual rate
of 34.48%.
While the difference between APR and EAR may seem trivial, because
of the exponential nature of interest these small difference can have
a large effect over the life of a loan. For example, consider a 30-year
loan of $200,000 with a stated APR of 10.00%, i.e., 10.0049% APR or
the EAR equivalent of 10.4767%. The monthly payments, using APR, would
be $1755.80. However, using an EAR of 10.00% the monthly payment would
be $1691.78. The difference between the EAR and APR amounts to a difference
of $64.09 per month. Over the life of a 30-year loan, this amounts
to $23,070.90, which is over 11% of the original loan amount.
Some classes of fees are deliberately not included in the calculation
of APR. Because these fees are not included, some consumer advocates
claim that the APR does not represent the total cost of borrowing.
Excluded fees may include:
(1) routine one-time fees which are paid to someone other than the
lender (such as a real estate attorney's fee)
(2)penalties such as late fees or service reinstatement fees without
regard for the size of the penalty or the likelihood that it will
be imposed.
Lenders argue that the real estate attorney's fee, for example, is
a pass-through cost, not a cost of the lending. In effect, they are
arguing that the attorney's fee is a separate transaction and not
a part of the loan. Consumer advocates argue that this would be true
if the customer is free to select which attorney is used. If the lender
insists on using a specific attorney however, then the cost should
be looked at as a component of the total cost of doing business with
that lender. This area is made more complicated by the practice of
contingency fees - for example, when the lender receives money from
the attorney and other agents to be the one used by the lender. Because
of this, US regulators require all lenders to produce an affiliated
business disclosure form which shows the amounts paid between the
lender and the appraisal firms, attorneys, etc.
Lenders argue that including late fees and other conditional charges
would require them to make assumptions about the consumer's behavior
— assumptions which would bias the resulting calculation and create
more confusion than clarity. |
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