Also known as the sum-of-the-digits method, the Rule of 78s is a term used in lending that refers to a method of yearly interest calculation. The name comes from the total number of months' interest that is being calculated in a year (the first month is 1 month's interest, whereas the second month contains 2 months' interest, etc.). This is an accurate interest model only based on the assumption that the borrower pays only the amount due each month. If the borrower pays off the loan early, this method maximizes the amount paid by applying funds to interest before principal.
A simple fraction (as with 12/78) consists of a numerator (the top number, 12 in the example) and a denominator (the bottom number, 78 in the example). The denominator of a Rule of 78 loan is the sum of the digits, the sum of the number of monthly payments in the loan. For a 12 month loan, the sum of numbers from 1 to 12 is 78 (1 + 2 + 3 + . . . +12 = 78). For a 24 month loan, the denominator is 300. The sum of the numbers from 1 to n is given by the equation n * (n+1) / 2. If n were 24, the sum of the numbers from 1 to 24 is 24 * (24+1) / 2 = 12 x 25 = 300, which is the loan's denominator, D.
For a 12 month loan, 12/78s of the finance charge is assessed as the first month's portion of the finance charge, 11/78s of the finance charge is assessed as the second month's portion of the finance charge and so on until the 12th month at which time 1/78s of the finance charge is assessed as that month's portion of the finance charge. Following the same pattern, 24/300 of the finance charge is assessed as the first month's portion of a 24 month precomputed loan.
Formula for calculating the unearned interest:
u = f * k(k+1)/n(n+1) u = unearned interest; f = total agreed finance charges; k = number of months paying off early; n = total term of loan in months
_____________________________________What Does Rule Of 78 Mean?
A method of allocating the interest charge on a loan across its payment periods. Under the Rule of 78, periods are weighted by comparing their numerical values to the sum of all the digits of the periods. The weights are applied in reverse, applying large weights to early periods.
A method of allocating the interest charge on a loan across its payment periods. Under the Rule of 78, periods are weighted by comparing their numerical values to the sum of all the digits of the periods. The weights are applied in reverse, applying large weights to early periods.
Investopedia explains Rule Of 78
When paying off a loan, the repayments consist of two parts: the principal and the interest charge. The Rule of 78 weights earlier payments with more interest than later ones. If the loan is not terminated or prepaid early, the total interest paid between simple interest and the Rule of 78 will be equal. However, because the Rule of 78 weights the earlier payments with more interest than a simple interest method, paying off a loan early will result in the borrower paying more interest overall.
This method of allocating interest was commonplace in loans for consumer goods, such as automobiles. However, the U.S. government has outlawed the use of the Rule of 78 for loans longer than five years. This is largely because this method penalizes borrowers who pay off debts early.
When paying off a loan, the repayments consist of two parts: the principal and the interest charge. The Rule of 78 weights earlier payments with more interest than later ones. If the loan is not terminated or prepaid early, the total interest paid between simple interest and the Rule of 78 will be equal. However, because the Rule of 78 weights the earlier payments with more interest than a simple interest method, paying off a loan early will result in the borrower paying more interest overall.
This method of allocating interest was commonplace in loans for consumer goods, such as automobiles. However, the U.S. government has outlawed the use of the Rule of 78 for loans longer than five years. This is largely because this method penalizes borrowers who pay off debts early.
Read more: http://www.investopedia.com/terms/r/ruleof78.asp#ixzz1fi3mwO35
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A Quick explanation of the Rule of 78 - http://www.tiac.net/~mabaker/rule_of_78.html
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Rule 78 Loan Calculator - http://www.hughchou.org/calc/rule78.cgi
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Rebate Rule of 78s most unfair to Malaysians - http://thestar.com.my/news/story.asp?file=/2011/2/16/sarawak/8071342&sec=sarawak
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What is the Rule-of-78's — And how it works... - http://www.pine-grove.com/reading-room/rule-of-78s.htm
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How Rule of 78 of car loans work - http://www.sgcarmart.com/news/writeup.php?AID=61
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Rule of 78 - http://www.businessdictionary.com/definition/rule-of-78.html
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