Buying
Example Disclaimer. This example illustrates one application
of the method. The results shown here and the results in your situation
may differ. These differences occur for three reasons: (1) Laws
vary from state to state, (2) the computer programs used by lenders
differ, and (3) the contracts used by lenders differ. In the example,
the monthly interest is calculated as 1/12 of the annual interest.
Your finance agreement, even if it uses this method, may not work
like the one in this example. The example addresses the rebating
of interest only, not any other charges that may be included in
the loan. |
Example: Daily Simple Interest Method
The Daily Simple Interest method is similar to the Simple Interest method
except that interest is calculated on the actual balance each day. Payments
are credited and the loan balance is reduced on the day the payment is
received, rather than on the due date, as is done under the Simple Interest
method. Daily Simple Interest loans have the same advantage as the Simple
Interest loans by allowing principal amounts to be prepaid during the
loan, thereby reducing the outstanding balance and the interest portion
of subsequent payments if all subsequent payments are made on the due
date. The term of the loan and total interest are reduced when additional
principal payments are made if all subsequent payments are made on the
due date. However, if the payments are made a few days after the due date
each month, the interest paid will be higher than under the Simple Interest
method (and higher than under the Constant Yield (Actuarial) method if
no prepayments of principal are made).
Amount financed |
$18,800.00 |
Term | 48 months |
APR |
9.00% |
Monthly payment | $467.84 |
Assuming that each payment is made exactly on its due date:
|
First payment interest |
= |
$18,800 × 9% ÷ 12 |
= |
$141.00 |
First payment principal |
= |
$467.84 – $141.00 |
= |
$326.84 |
End of month 1 net loan balance |
= |
$18,800.00 – $326.84 |
= |
$18,473.16 |
Second payment interest |
= |
$18,473.16 × 9% ÷ 12 |
= |
$138.55 |
Second payment principal |
= |
$467.84 – $138.55 |
= |
$329.29 |
End of month 2 net loan balance |
= |
$18,473.16 – $329.29 |
= |
$18,143.87 |
Full-term interest if each
payment is made on the due date |
= |
($467.84 × 48) – $18,800 |
= |
$3,656.32 |
If an additional $1,000 principal is paid at the end of the first month, the
loan balance is reduced from $18,473.16 to $17,473.16. Month 2 interest
charges will be based on this reduced balance, so more principal will
be credited from each payment if all subsequent payments are made on the
due date. If the remaining payments are made on time, the loan will be
repaid in 45 months rather than 48 months because of the extra $1,000
principal payment in month 1. The total interest paid will be $3,224.84
instead of $3,656.32, a savings of $431.48 in interest. However, if no
extra principal is paid and every payment is made 5 days after the due
date, the total additional interest paid will be $30.38. The early termination
balance at month 24 will be $27.91 higher than under the Simple Interest
or Constant Yield (Actuarial) method but $26.90 less than under the Rule
of 78 method.
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