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rule of 78?

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  1. #4
    Valued Forum Contributor ratcat's Avatar
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    Definition:
    A formula used to determine rebates on interest for installment loans. For a 12month loan: 1 + 2 + ... + 12 = 78.
    After the first month, 12/78th of the interest is owed, 11/78ths after the second month, etc.

    EXAMPLE OF A RULE OF 78s
    The following formula is the simplest method of computing the refunds by the Rule of 78s.
    (U * (U + 1)) \ (T * (T + 1)) = Rule of 78s refund decimal * F = Rebate
    U = Unearned term periods
    T = Term periods
    F = Finance Charge

    Example
    This example is for a 12 month contract which prepaid at 3 months (9 months unearned) with a finance charge of $100.00.

    U = 9
    T = 12
    F = $100.00
    (9 * (9 + 1)) \ (12 (12 + 1)) = (9 * 10) \ (12 * 13) = 90 \ 156 = .5769 Rule of 78s refund decimal,
    .5769 * $100.00 = $57.69 Refund
    Source of Information above in pdf format.

    -----------------
    www.filedudes.com
    Software AmortizeIT download page (freeware)
    A fast, easy-to-use collection of 10 financial calculators. Amortization schedule has support for: extra and skipped payments or deposits; Adjustable rates; Rule-of-78's; Canadian type loans; APR disclosure statements; evaluation of loan acceleration scenarios. Payment & compounding periods may be independently set. 10 payment periods: daily, weekly, biweekly, twice monthly, every 4 weeks, monthly, bimonthly, quarterly, semiannually & annually. Additionally, there is support for simple interest and continuous compounding. Exact day payment and interest calculations also supported.
    Edit: I, ratcat is not apart or connected to filedudes nor Software AmortizeIT or its programmer(s), and not a fanboy either.

    Well I hope that helps
    Last edited by ratcat; 04-02-2008 at 09:00 AM.

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