Rule of 78: Definition, How Lenders Use It, and Calculation (2024)

What Is the Rule of 78?

The Rule of 78 is a method used by some lenders to calculate interest charges on a loan. The Rule of 78 requires the borrower to pay a greater portion of interest in the earlier part of a loan cycle, which decreases the potential savings for the borrower in paying off their loan.

Key Takeaways

  • The Rule of 78 is a method used by some lenders to calculate interest charges on a loan.
  • The Rule of 78 allocates pre-calculated interest charges that favor the lender over the borrower for short-term loans or if a loan is paid off early.
  • The Rule of 78 methodology gives added weight to months in the earlier cycle of a loan, so a greater portion of interest is paid earlier.

Understanding the Rule of 78

The Rule of 78 gives greater weight to months in the earlier part of a borrower’s loan cycle when calculating interest, which increases the profit for the lender. This type of interest calculation schedule is primarily used on fixed-rate non-revolving loans. The Rule of 78 is an important consideration for borrowers who potentially intend to pay off their loans early.

The Rule of 78 holds that the borrower must pay a greater portion of the interest rate in the earlier part of the loan cycle, which means the borrower will pay more than they would with a regular loan.

Calculating Rule of 78 Loan Interest

The Rule of 78 loan interest methodology is more complex than a simple annual percentage rate (APR) loan. In both types of loans, however, the borrower will pay the same amount of interest on the loan if they make payments for the full loan cycle with no pre-payment.

The Rule of 78 methodology gives added weight to months in the earlier cycle of a loan. It is often used by short-term installment lenders who provide loans to subprime borrowers.

In the case of a 12-month loan, a lender would sum the number of digits through 12 months in the following calculation:

  • 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 78

For a one year loan, the total number of digits is equal to 78, which explains the term the Rule of 78. For a two year loan, the total sum of the digits would be 300.

With the sum of the months calculated, the lender then weights the interest payments in reverse order applying greater weight to the earlier months. For a one-year loan, the weighting factor would be 12/78 of the total interest in the first month, 11/78 in the second month, 10/78 in the third month, etc. For a two-year loan, the weighting factor would be 24/300 in the first month, 23/300 in the second month, 22/300 in the third month, etc.

Rule of 78 vs. Simple Interest

When paying off a loan, the repayments are composed of two parts: the principal and the interest charged. The Rule of 78 weights the earlier payments with more interest than the later payments. 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 slightly more interest overall.

In 1992, the legislation made this type of financing illegal for loans in the United States with a duration of greater than 61 months. Certain states have adopted more stringent restrictions for loans less than 61 months in duration, while some states have outlawed the practice completely for any loan duration. Check with your state's Attorney General's office prior to entering into a loan agreement with a Rule of 78 provision if you are unsure.

The difference in savings from early prepayment on a Rule of 78 loan versus a simple interest loan is not significantly substantial in the case of shorter-term loans. For example, a borrower with a two-year $10,000 loan at a 5% fixed rate would pay total interest of $529.13 over the entire loan cycle for both a Rule of 78 and a simple interest loan.

In the first month of the Rule of 78 loan, the borrower would pay $42.33. In the first month of a simple interest loan, the interest is calculated as a percent of the outstanding principal, and the borrower would pay $41.67. A borrower who would like to pay the loan off after 12 months would be required to pay $5,124.71 for the simple interest loan and $5,126.98 for the Rule of 78 loan.

Rule of 78: Definition, How Lenders Use It, and Calculation (2024)

FAQs

Rule of 78: Definition, How Lenders Use It, and Calculation? ›

The Rule of 78 formula

What is the Rule of 78 calculation? ›

Calculating Rule of 78 Loan Interest

It is often used by short-term installment lenders who provide loans to subprime borrowers. In the case of a 12-month loan, a lender would sum the number of digits through 12 months in the following calculation: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 78.

What is the Rule of 78 insurance? ›

The Rule of 78s is commonly, even widely, used but is understood by very few people. It is a method of refunding finance charges and/or credit insurance premiums on consumer credit precomputed transactions when the borrower prepays the account in full.

What is the Rule of 78 in business? ›

Just multiply the amount of new revenue you expect to bring in each month by 78 to get your yearly sales forecast. A caveat to the Rule of 78 formula is that it assumes you'll gain just one new customer per month – and that every customer is paying the same monthly fee.

How to calculate loan settlement amount? ›

To calculate a personal loan settlement, assess the outstanding balance, including interest and fees. Propose a reasonable settlement amount, often a percentage of the total owed. Negotiate terms with the lender, considering your financial circ*mstances.

What is a calculation rule? ›

Calculation rules are used to automatically populate attribute configurations on a feature. They can be created as immediate calculation rules or batch calculation rules, depending on when the rule needs to be evaluated as follows: Immediate calculation rules—Rule evaluation occurs immediately during edit operations.

Does the Rule of 78 still apply? ›

Though it was outlawed in 1992 for loans longer than 61 months, some lenders still use this practice. It's widely viewed as unfair to borrowers who may decide to pay off their loans early to save money on interest.

How to calculate interest refund? ›

Interest is calculated using the compound interest formula of: (((1 + (RATE/NBR OF DAYS IN YR)) ^ NO OF DAYS) - 1) MULTIPLIED BY THE BILL/REFUND AMOUNT. Basically, each day the amount is outstanding, interest accrues at the rate in effect for that day.

What is the Rule of 78 for hire purchase? ›

Rule of 78 is also known as sum of digits: the number of months in a year i.e. 1 + 2 + 3 + 4+ 5 + 6 + 7+ 8 + 9 + 10 + 11+ 12 equals to 78. This formula is commonly used in hire purchase (HP) or personal loans where the interest is added to the principal before the calculation of the fixed/ monthly instalment.

What is the Rule of 78 vs actuarial method? ›

The Rule of 78 accelerates the accrual of interest at the start of the loan, and the purpose of using the actuarial method for posting to income is to avoid having that acceleration reflected in the ledger.

What are the alternatives to the Rule of 78? ›

Amortization Schedule: An alternative to the Rule of 78 is an amortization schedule, which follows a more favorable path for borrowers aiming to reduce their principal. With an amortization schedule, each payment is divided between interest and principal, with the proportion of interest decreasing over time.

What is the Rule of 78 commission? ›

Typically, the Rule of 78 is used with sales quotas. If a salesperson must bring in a set amount of new revenue each month and that revenue is recurring, you can multiply the quota X 78 to get the total amount each salesperson will bring in for the year.

How do lenders calculate? ›

Lenders look at a debt-to-income (DTI) ratio when they consider your application for a mortgage loan. A DTI ratio is your monthly expenses compared to your monthly gross income. Lenders consider monthly housing expenses as a percentage of income and total monthly debt as a percentage of income.

How do lenders calculate loan to value? ›

To figure out your LTV ratio, divide your current loan balance (you can find this number on your monthly statement or online account) by your home's appraised value. Multiply by 100 to convert this number to a percentage.

What is the formula used to calculate a loan? ›

FORMULA. The amount of interest, I I , to be paid for one period of a loan with remaining principal P P is I = P × r n I = P × r n , where r r is the interest rate in decimal form and n n is he number of payments in a year (most often n n = 12).

What is the 78 percent rule? ›

The Rule of 78 formula

The lender allocates a fraction of the interest for each month in reverse order. For example, you would pay 12/78 of the interest in the first month of the loan, 11/78 of the interest in the second month and so on. The result is that you pay more interest than you should.

What is the Rule of 72 and how do you calculate using this rule? ›

The Rule of 72 is a calculation that estimates the number of years it takes to double your money at a specified rate of return. If, for example, your account earns 4 percent, divide 72 by 4 to get the number of years it will take for your money to double.

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