Paying off a loan early should save you money — but with the Rule of 78, it might save far less than you expect. The Rule of 78 is a front-loaded interest calculation that ensures you pay the lion’s share of interest in the first half of the loan. If you pay off early, you’ll have already handed over most of the interest without getting the benefit of reducing future payments proportionally.
What Is the Rule of 78?
The Rule of 78 — also called the sum-of-digits method — is a way of calculating how much of your total interest is allocated to each monthly payment. Instead of accruing interest daily on the remaining balance (simple interest), the Rule of 78 assigns a fixed portion of the total interest to each month, weighted heavily toward the beginning.
Where the name comes from: Add up the digits 1 through 12 (the months in a one-year loan): 1 + 2 + 3 + … + 12 = 78. This sum is the denominator in the interest allocation formula.
How the Rule of 78 Allocates Interest
For a 12-month loan, each month’s interest share is:
| Month | Fraction of Interest | Cumulative Share |
|---|---|---|
| 1 | 12/78 = 15.4% | 15.4% |
| 2 | 11/78 = 14.1% | 29.5% |
| 3 | 10/78 = 12.8% | 42.3% |
| 4 | 9/78 = 11.5% | 53.8% |
| 5 | 8/78 = 10.3% | 64.1% |
| 6 | 7/78 = 9.0% | 73.1% |
| 7–12 | 6+5+4+3+2+1/78 | remaining 26.9% |
By month 6, you’ve paid 73% of all interest but only made 50% of payments. Compare this to a simple interest loan where you’d have paid roughly 50% of interest at the halfway point.
Rule of 78 vs. Simple Interest — Worked Example
Say you borrow $10,000 at 24% APR for 12 months. Your monthly payment is $945. Total interest is approximately $1,345.
If you pay off at month 6:
| Method | Interest Already Paid | Remaining Interest Saved | You Pay at Payoff |
|---|---|---|---|
| Simple Interest | ~$672 | ~$673 | ~$5,000 + $673 remaining = ~$5,000 |
| Rule of 78 | ~$983 | ~$362 | ~$5,000 + $362 remaining |
The Rule of 78 costs you roughly $311 more in this scenario. The gap grows larger with higher interest rates and longer original loan terms.
Is the Rule of 78 Legal?
Yes, in many circumstances — but with limits:
- Loans longer than 61 months: The Rule of 78 is banned under the Truth in Lending Act (15 U.S.C. § 1615) for loans exceeding 61 months.
- Loans 61 months or shorter: Still legal federally, though several states ban it for consumer loans entirely.
- State bans: States including North Carolina, Massachusetts, and New Mexico prohibit the Rule of 78 on consumer loans. Check your state’s consumer lending laws.
Where You’re Most Likely to Encounter the Rule of 78
- Buy-here-pay-here auto dealers
- High-rate personal loan companies
- Older finance company loans
- Some payday alternative loans (PALs) from smaller institutions
- Short-term installment loans from non-bank lenders
You’re unlikely to find it at: Major banks, credit unions, or reputable online lenders like SoFi, LightStream, Upgrade, or LendingClub — these all use simple interest.
How to Calculate Your Rule of 78 Payoff Amount
For a loan with N total months and M months remaining at payoff:
$$\text{Unearned interest} = \text{Total interest} \times \frac{M \times (M + 1)}{N \times (N + 1)}$$
Example: 12-month loan, $1,345 total interest, paying off after month 6 (6 months remaining):
$$\text{Unearned interest} = $1,345 \times \frac{6 \times 7}{12 \times 13} = $1,345 \times \frac{42}{156} = $362$$
So you’d save $362 in interest — but would have paid $983 of $1,345 total interest in just 6 months.
How to Avoid the Rule of 78
- Ask the right question: “Is this a simple interest or precomputed interest loan?”
- Read the contract: Look for “precomputed,” “sum-of-digits,” or prepayment penalty language
- Check TILA disclosures: Your Truth in Lending disclosure must state the prepayment penalty conditions
- Choose established lenders: Banks, credit unions, and major online lenders almost universally use simple interest
- Refinance if stuck: If you’re in a Rule of 78 loan and it makes financial sense, refinancing with a simple interest lender may save money even after accounting for origination fees
What to Do If You Have a Rule of 78 Loan
- Run the payoff math before paying off early — your lender must provide a payoff quote
- Compare the payoff quote to what you’d expect from simple interest on the remaining balance
- Factor this into any early payoff decision — the savings may be smaller than you think
- Check your state’s rights — if your loan violates state anti-precomputed-interest laws, you may have a legal claim
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