A deferred payment amortization schedule shows how a loan balance changes when scheduled payments start after a delay. Enter the principal, APR, total term, and number of months before payments begin to estimate the regular payment, interest, and balance over the loan’s full life.
Formula
This estimate assumes interest accrues monthly during the deferral and that the loan is repaid with equal monthly payments afterward. It treats the entered term as the total time from the start of the loan, including the deferred months.
- Monthly rate: r = APR / 1200, where APR is entered as a percentage per year.
- Balance when payments begin: B = P × (1 + r)d.
- Number of payments: n = 12 × T − d.
- Payment after the deferral: M = B × r / [1 − (1 + r)−n].
- Estimated total interest: I = M × n + B − P.
P is the original loan amount in dollars; r is the monthly interest rate as a decimal; d is the deferral in months; T is the total loan term in years; B is the balance at the end of the deferral; n is the remaining number of monthly payments; and M is the monthly payment in dollars. Total interest includes interest accrued during deferral and interest paid through the scheduled installments. The outputs are rounded to cents for display; calculations retain the formula’s unrounded values.
Worked Example
Using the calculator’s defaults: principal $20,000, APR 8%, total term 5 years, and a 6-month deferral.
- Monthly rate: 8 / 1200 = 0.0066667.
- Balance after six months: $20,000 × (1.0066667)6 = about $20,814.74.
- Remaining payment count: 5 × 12 − 6 = 54 months.
- Payment: $20,814.74 × 0.0066667 / [1 − (1.0066667)−54] = about $469.43 per month.
- Total interest: the interest accrued during deferral, about $814.74, plus 54 scheduled payments of about $469.43 less the balance at payment start, about $4,532.27 in total when calculated before display rounding.
The monthly payment and total-interest outputs are computed from the formulas and rounded to cents. Because the displayed payment is rounded, multiplying that displayed amount by the payment count may differ slightly from the total calculated using full precision.
Assumptions
- The APR is fixed throughout the modeled period.
- Payments occur monthly at the end of each monthly period after deferral.
- Interest compounds monthly at APR divided by 12, including while payments are deferred.
- The entered term includes the deferral, leaving fewer payment months afterward.
- Fees, taxes, insurance, escrow, and lender-specific capitalization or payment rules are not included.
What a Deferred Payment Schedule Shows
An amortization schedule is a month-by-month account of how each payment is divided between interest and principal. In a conventional fully amortizing loan, each scheduled payment covers that period’s interest first; the remainder reduces principal. Early payments commonly devote a larger share to interest because the outstanding balance is higher. As principal falls, the interest portion generally declines.
With a payment deferral, the schedule has an initial period with no scheduled installment. That does not necessarily mean interest stops. Under the calculator’s assumption, interest is added to the balance each month, so the amount owed grows before regular payments begin. A lender’s contract may instead handle accrued interest differently, so its payment disclosure and account records control the actual schedule.
How to Read the Estimate
The monthly payment is the modeled installment after the deferral, not a payment due during the deferred months. The balance-at-start output shows the estimated amount to be amortized once installments begin. The total-interest figure covers both the assumed interest accumulated during the delay and interest over the repayment period.
For example, a six-month delay with a five-year total term leaves 54 payments in this model, not 60. If a contract instead starts a fresh five-year repayment term after the deferred period, the payment count would be 60 and the total duration would be longer. Check how the lender defines the term before comparing an estimate with a loan disclosure.
Choosing Inputs and Checking the Contract
Use the principal and APR shown in the loan documents or a written lender estimate. The APR is entered as a percentage, so 8 means 8%, not 0.08. Enter the total term in years and the length of the payment pause in months. The deferral must be shorter than the total term so at least one payment month remains.
- Confirm whether interest accrues during the delay and whether it is added to principal.
- Check whether the stated term includes the deferral or begins after it.
- Find out when the first payment is due and whether the payment frequency is monthly.
- Compare the estimate with the lender’s disclosed payment schedule, including any fees or other charges omitted here.
Common Limitations and Misconceptions
“Deferred payment” describes when payments are postponed; it does not by itself establish that interest is waived. A no-payment period can still increase the balance if interest accrues. Conversely, some arrangements may treat interest or repayment timing differently from this simplified model. The term “deferred” alone is not enough to determine the cost.
This calculator uses a fixed APR and equal monthly payments. It does not model variable rates, irregular payment dates, partial payments, fees, a balloon payment, or a change in repayment terms. Real lenders may calculate interest daily, round each period differently, capitalize interest at a particular time, or use other contract-specific methods. A small discrepancy from a statement can therefore arise from timing and rounding as well as from an omitted charge.
Frequently Asked Questions
Does a deferred payment mean no interest is charged?
No. A deferral postpones payments, but interest may continue to accrue. Check the loan terms to see whether interest is charged, waived, or added to the balance during the pause.
Does the deferral extend the loan term?
It depends on the contract. This calculator treats the entered term as including the deferred months, so fewer payments remain afterward. A lender may instead extend the schedule, which changes the total duration and payment calculation.
Why can the balance rise while no payments are due?
If interest accrues and is added to the amount owed, the balance grows even though no installment is required. The amount and timing depend on the loan’s terms and interest method.
How do I calculate the payment after a deferral?
First estimate the balance after the deferred months by applying the monthly rate for each month. Then amortize that balance over the number of scheduled payment months remaining in the stated total term.
Why does my lender’s schedule differ from this estimate?
Possible reasons include a different term convention, daily rather than monthly interest calculations, fees, different rounding, variable rates, or a different treatment of deferred interest. Use the lender’s disclosure for the contract-specific figures.
This result is an estimate for educational arithmetic; 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 in def | Payment deferral | months | 6 | 0 | 599 out pmt | Monthly payment after deferral | $ | (p * (1 + apr / 1200) ^ def) * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12 - def)) | 2 out int | Total interest over full term | $ | pmt * (yrs * 12 - def) + p * ((1 + apr / 1200) ^ def - 1) | 2 out bal | Balance when payments begin | $ | p * (1 + apr / 1200) ^ def | 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.
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