calculate-loan

01 Loan payments

Reg Z Payment Allocation: How Loan Payments Apply

Calculator No. 01-2909 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.67
= Monthly payment × loan term × 12 − loan amount
Loan amount
$20,000
Input
Interest rate (APR)
8 %
Input
You enter
Loan amount ($), Interest rate (APR) (%), Loan term (years)
You get
Monthly payment ($), Total interest ($)
Rounding
2 dp

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

“Reg Z payment allocation” usually refers to how payments are credited to a credit-card account under the U.S. Truth in Lending Act’s Regulation Z. For balances carrying different annual percentage rates, amounts above the required minimum generally go to the highest-rate balance first; the minimum payment itself is usually allocated according to the card issuer’s disclosed method.

Formula

This calculator estimates a fixed-rate, fully amortizing loan payment; it does not calculate credit-card payment allocation under Regulation Z. That distinction matters because Regulation Z’s allocation rules concern how a payment is distributed among balances, while this formula assumes one loan balance and one interest rate.

For principal P, annual percentage rate APR expressed as a percentage, and term Y in years:

  • Monthly rate: r = APR / 1200.
  • Number of monthly payments: n = 12Y.
  • Monthly payment: M = P × r / [1 − (1 + r)−n], rounded to cents.
  • Total interest estimate: I = M × n − P.

P and M are in dollars, APR is an annual percentage, and Y is in years. The formula is for a positive fixed rate and equal monthly payments. It uses the rounded monthly payment when estimating total interest.

Worked Example

Using the calculator’s default inputs—$20,000 principal, 8% APR, and five years:

  1. Convert the annual rate to a monthly decimal: 8 / 1200 = 0.0066667.
  2. Find the number of payments: 5 × 12 = 60.
  3. Apply the payment formula: $20,000 × 0.0066667 / [1 − (1.0066667)−60] = approximately $405.53 per month.
  4. Estimate interest using the displayed payment: $405.53 × 60 − $20,000 = $4,331.80.

The figures are estimates rounded to cents. A lender’s payment schedule may differ if it uses a different payment date convention, changes the rate, or includes charges in the amount financed.

Assumptions

  • The interest rate is fixed for the full term.
  • Payments are equal, monthly, and made at the end of each period.
  • Interest accrues monthly using APR divided by 12.
  • Fees, taxes, insurance, PMI, escrow, late charges, and payment-allocation rules are not included.

What Regulation Z Payment Allocation Means

Regulation Z is the Federal Reserve’s regulation implementing the Truth in Lending Act; rules are now administered by the Consumer Financial Protection Bureau. For credit cards, its payment-allocation provisions are relevant when an account has balances with different APRs, such as purchases, cash advances, or balance transfers.

In general, a card issuer may allocate the required minimum payment among balances using the method described in the account terms. For the portion of a payment that exceeds the required minimum, the law generally requires allocation to the balance with the highest APR first. If multiple balances share that highest rate, the issuer can apply the extra amount among them as its terms specify. The rule is about allocating a payment, not setting the APR or determining how much the minimum payment must be.

For example, imagine an account with a $500 purchase balance at 18% APR and a $1,000 promotional balance at 0% APR. If the minimum due is $40 and the cardholder pays $100, the $60 above the minimum would generally be directed to the 18% balance. The issuer’s disclosed method determines how the $40 minimum is divided. This example illustrates the general allocation principle; it does not calculate daily interest or account for other terms.

How Allocation Affects Interest and Payoff

When extra payment dollars reduce a balance with a higher APR, they can reduce the amount on which that higher rate accrues. The precise interest saved depends on the issuer’s balance calculation method, transaction dates, payment posting date, APRs, and any promotional terms. A payment allocation rule does not erase interest already accrued or guarantee a particular payoff date.

Credit-card interest is commonly calculated using daily balances, but account terms and applicable rules determine the specific method. A simplified loan calculator like the one above instead models one balance at a constant monthly rate. Do not use its total-interest figure as a credit-card forecast when balances have different rates or payments are uneven.

Another common misconception is that all of a card payment necessarily goes to the highest-rate balance. The general highest-rate-first protection applies to amounts above the minimum; it does not mean the entire payment is always allocated that way. Check the account agreement and periodic statement for the issuer’s minimum-payment allocation method and current balance categories.

Reading Your Statement and Checking the Method

Statements often show separate balances by rate or category, along with the required minimum and payment due date. The account agreement explains how payments are allocated, while the statement may show the resulting balance changes. If the allocation is unclear, compare the balance categories before and after payment and ask the issuer to explain its calculation.

  • Identify each balance category and its APR, including any promotional rate and its end date.
  • Find the required minimum and the payment amount that was actually credited.
  • Separate the payment into the minimum portion and any excess; the general highest-APR rule applies to the excess.
  • Review posting dates and terms for returned, late, or specially directed payments, which can affect account treatment.

Keep payment confirmations and statements if you need to resolve a discrepancy. An allocation question is different from a dispute over an unauthorized transaction, a promotional offer, or the calculation of interest; those issues can involve separate account terms and procedures.

Frequently Asked Questions

Does Regulation Z require the whole payment to go to the highest APR?
No. The general rule requires the amount paid above the required minimum to go to the highest-rate balance first. The issuer’s disclosed method generally governs allocation of the minimum.

Does this calculator show how my credit-card payment is allocated?
No. It estimates an equal monthly payment for a single fixed-rate installment loan. It does not model multiple card balances, minimum-payment allocation, or daily interest.

What if two balances have the same highest APR?
The excess payment is applied to balances at the highest rate, but the issuer may specify how it divides that amount among balances sharing the rate. Consult the account terms.

Where can I find my card’s allocation method?
Check the card agreement and statement. If the wording or the posted allocation is unclear, contact the issuer for an account-specific explanation.

Does paying extra always reduce the highest-rate balance?
Under the general rule, payment above the required minimum is allocated first to the highest-APR balance. The actual effect depends on the balances, rates, payment posting, and account terms.

This calculator is for educational estimates, not financial advice; the lender’s disclosure gives the exact figures.

Related

Formula used
in p | Loan amount | $ | 20000 | 1 | 100000000
in apr | Interest rate (APR) | % | 8 | 0.01 | 100
in yrs | Loan term | years | 5 | 0.0833 | 50
out pmt | Monthly payment | $ | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 2
out int | Total interest | $ | pmt * yrs * 12 - p | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.

More in this section

The whole Loan payments section →