finance calculator

Rule of 78 Loan Calculator

See how interest is front-loaded on a Rule of 78 (sum of digits) loan, including monthly payment and first/last month interest.

Results

Monthly payment
$870
Total interest
$439
Interest first month
$67
Interest last month
$6

How to use this calculator

  1. Enter the loan amount, APR, and term in months for the loan you want to analyze.
  2. We calculate the standard fixed-rate monthly payment and total interest for reference.
  3. We then apply the Rule of 78 allocation to show how much interest is assigned to the first and last months.
  4. Review the monthly payment, total interest, and the contrast between first-month and last-month interest to see how front-loaded the charges are.
  5. Use this information to decide whether a Rule of 78 loan is acceptable or if you should seek a simple-interest alternative.

Inputs explained

Loan amount
The principal you are borrowing. The Rule of 78 method allocates the finance charge on this balance.
APR (%)
The stated annual percentage rate. Rule of 78 loans often quote an APR similar to simple-interest loans but back-load less of the interest into later months.
Term (months)
Number of scheduled monthly payments. The Rule of 78 uses the sum of the digits from 1 to N (for example, a 12‑month loan uses 12+11+…+1) as the denominator for interest allocation.

How it works

We first compute a reference monthly payment and total interest using standard fixed-rate amortization for context.

Under the Rule of 78, total finance charges are fixed up front, then allocated to each month based on a sum-of-digits weighting (for an N‑month loan, weights run from N down to 1).

Each month’s share of interest is: interest for a given month = total interest × (month weight ÷ sum of 1..N). The first month gets the highest weight, the last month the lowest.

This means a large portion of total interest is paid in the early months, which reduces the amount of interest refunded if you pay off the loan early.

We highlight the first- and last-month interest amounts so you can see how front-loaded the schedule is.

When to use it

  • Understanding how a personal loan, auto loan, or small closed-end credit contract that uses the Rule of 78 front-loads interest.
  • Comparing a Rule of 78 loan to a standard simple-interest amortizing loan before signing an agreement.
  • Estimating why you might receive a small interest refund if you pay off a Rule of 78 loan early.
  • Explaining to clients, students, or team members how the sum-of-digits method affects effective cost of borrowing.
  • Stress-testing how shorter or longer terms change the degree of front-loading for the same loan amount and APR.

Tips & cautions

  • Front-loading means that paying off early rarely refunds interest proportionally; read your loan documents carefully for precomputed interest language.
  • Shorter terms still exhibit front-loading, but the effect can be especially noticeable on multi-year contracts.
  • When shopping for loans, ask whether interest is calculated using simple interest or a precomputed Rule of 78 method.
  • If you already have a Rule of 78 loan and plan to pay off early, use this calculator alongside your lender’s payoff quote to set expectations.
  • Consider the total cost of borrowing and prepayment flexibility—not just the APR—when comparing loan offers.
  • Simplified illustration; actual Rule of 78 implementations may vary by lender and jurisdiction.
  • Does not show a full month-by-month schedule; it highlights first and last month interest and assumes a standard precomputed interest approach.
  • Assumes a fixed APR and term; does not handle variable-rate or revolving credit products.
  • Does not calculate actual early payoff refunds; real refunds may follow specific contractual or regulatory rules.

Deep dive

See how Rule of 78 loans front-load interest using the sum-of-digits method; view monthly payment, total interest, and first vs last month interest.

Enter loan amount, APR, and term to understand how much more interest you pay in the early months of a Rule of 78 loan compared to a level-interest loan.

Use this Rule of 78 loan calculator to spot precomputed interest and evaluate whether an offer is truly competitive.

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