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The denominator of a Rule of 78s loan is the sum of the integers between 1 and n, inclusive, where n is the number of payments. For a twelve-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.
Using the Rule of 78, a $5,000 personal loan with an interest rate of 11 percent over 48 months and a $150/mo payment would incur an interest charge of $89.80 in the first month.
In a one-year loan, in the first month, 12/78 of all interest owed over the life of the loan is due; in the second month, 11/78; progressing to the twelfth month where only 1/78 of all interest is due. The practical effect of the Rule of 78s is to make early pay-offs of term loans more expensive.
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The Rule of 72 works best in the range of 5 to 10 percent, but it’s still an approximation. To calculate based on a lower interest rate, like 2 percent, drop the 72 to 71. To calculate based on ...
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In 1874, the U.S. government created the United States Reports, and retroactively numbered older privately-published case reports as part of the new series. As a result, cases appearing in volumes 1–90 of U.S. Reports have dual citation forms; one for the volume number of U.S. Reports, and one for the volume number of the reports named for the relevant reporter of decisions (these are called ...