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Loan repayment calculator

Compare equal payment vs equal principal repayment methods and visualize grace periods, total interest, and balance trends.

Inputs

MethodSame total each month
Total interest
$247.2K
$247,220
Total repayment
$547.2K
Principal $300.0K
First payment
$1.5K
Monthly
Last payment
$1.5K
Same in equal-payment

Yearly balance · monthly payment

BalanceMonthly
If you switch to Equal principal
Total interest $44.2K
1st $2.0K · last $836

How the loan repayment calculator works

A loan charges interest each month on the outstanding principal, and how you split that interest over time greatly affects both your monthly payment and the total interest paid through maturity. This tool simulates two repayment methods — equal payment and equal principal — plus an interest-only grace period, month by month, instantly showing your first payment, total interest, and the curve of your shrinking balance. Below we walk through the logic of both methods, a concrete numeric example, the US mortgage context around qualifying and taxes, and common mistakes with practical tips.

How the two repayment methods are calculated

The calculator divides your annual interest rate by 12 to get a monthly rate (r) applied to the balance each month. Equal payment keeps the total of 'principal + interest' constant every month using payment = principal × r(1+r)^n ÷ ((1+r)^n − 1), where n is the number of repayment months; each month it deducts balance × r as interest and applies the rest to principal. Early on the balance is large, so interest dominates; later, principal dominates. Equal principal repays the same principal each month (loan ÷ number of months) while interest is recomputed on the shrinking balance, so the first month is heaviest and it gets lighter over time. The final month clears whatever balance remains down to zero.

Worked example — $300,000 at 4.5% for 30 years

Suppose you borrow $300,000 at 4.5% a year (0.375% a month) for 30 years, or 360 months. Under equal payment you pay about $1,520 every month, and total interest through maturity reaches roughly $247,200 — 82% of what you borrowed. The same loan under equal principal starts heavier at about $1,958 ($833 of principal plus $1,125 of interest) and falls to about $836 by the final month, with total interest near $203,100 — some $44,100 less, at the cost of a first payment 29% larger. Add a 3-year interest-only period and the balance does not move at all while you pay $1,125 a month; the payment then jumps to about $1,601 for the remaining 27 years and lifetime interest climbs about $12,100. Term matters most of all: at the same $300,000 and 4.5%, a 20-year schedule costs $1,898 a month but only about $155,500 in interest — 63% of the 30-year figure. One caveat when comparing against a real quote: these are principal-and-interest numbers, while property tax, homeowners insurance, and mortgage insurance ride on top in an escrowed payment.

The US context — DTI, PMI, points, and the interest deduction

This calculator assumes a fixed rate and equal days each month. In practice how much you can borrow is set by your debt-to-income ratio: lenders total every monthly debt payment, not just this one, against gross income, and conventional loans backed by Fannie Mae and Freddie Mac generally stop in the 45–50% range, with FHA allowing more when compensating factors are strong. Put less than 20% down on a conventional loan and you also pay private mortgage insurance, which you can ask to cancel at 80% loan-to-value and which must terminate automatically at 78% under the Homeowners Protection Act. Discount points let you buy the rate down, one point costing 1% of the loan amount, which only pays off if you hold the loan past its break-even. On taxes, mortgage interest is deductible only if you itemize, and only on up to $750,000 of acquisition debt ($375,000 if married filing separately) for loans secured after December 15, 2017. Check the arithmetic before assuming it helps: first-year interest on this example is about $13,400, well under the 2026 standard deduction of $16,100 single or $32,200 married filing jointly, so many borrowers deduct nothing at all. This is information only, not tax advice.

Common mistakes and practical tips

First, choosing equal principal just because total interest is lower is risky — its first payment is about 29% heavier than equal payment, so for cash-strapped first-time buyers the steady equal payment can be the safer choice. Second, treating the grace period as merely 'the easy option' is a trap: during grace the principal does not shrink at all, raising total interest, and the monthly payment jumps once grace ends. Third, your lender's first payment may differ slightly because interest is often prorated by day from the closing date to month-end, and a variable rate changes things at every reset. This calculator is a fixed-rate estimate, so for variable-rate loans it is wise to also run a rate-rise scenario (e.g. +1–2 percentage points).

FAQ

Which is better: equal payment or equal principal?

By total interest, equal-principal wins. For the same $100,000 at 5% over 30 years, equal-principal's total interest is roughly 15-20% lower than equal-payment's. But equal-principal has the highest first-month payment, so the early burden is heavier. If cash flow is tight, the constant equal-payment is safer; if you have early headroom and want to save interest, equal-principal is better. Compare both methods' first payment and total interest right here.

Is taking a grace period a bad idea?

An interest-only stretch means the balance never shrinks — you cover interest and nothing else. It is uncommon in standard US mortgages since the post-2010 qualified-mortgage rules, but you still meet it in construction-to-permanent loans, the 10-year draw period on a HELOC, and some jumbo or portfolio products. On the $300,000 example at 4.5%, three interest-only years cost $1,125 a month, add about $12,100 to lifetime interest, and push the later payment up to roughly $1,601 because the same principal now has 27 years instead of 30 to amortize. The case for it is cash flow: it can bridge a renovation, a stretch of tuition bills, or income you expect but do not yet have. If you can afford principal from month one, starting amortization immediately is always cheaper.

How is the prepayment penalty calculated?

Prepayment penalties are far less common in the US than abroad — most conforming, qualified mortgages carry none. When one does apply, federal rules limit it to the first three years (generally up to 2% of the prepaid balance in years 1-2 and 1% in year 3), and it's often a 'soft' penalty triggered only by a full payoff or refinance, not by extra principal payments. For example, paying off a $200,000 balance in year 1 at a 2% penalty would cost about $4,000. This calculator assumes normal repayment to maturity, so check your loan note for any prepayment penalty separately.

What are front-end and back-end DTI, and how do they differ?

Both are debt-to-income ratios measured against gross monthly income. Front-end DTI counts only the housing payment — principal, interest, property tax, insurance, and any HOA dues. Back-end DTI adds every other monthly obligation: car loans, student loans, minimum credit-card payments, child support. The old rule of thumb was 28% front-end and 36% back-end, but conventional loans through Fannie Mae and Freddie Mac routinely reach 45% and go as high as 50% with strong credit or reserves, and FHA is more permissive still. The federal qualified-mortgage standard once imposed a hard 43% back-end cap; the CFPB replaced it in 2021 with a price-based test tied to the loan's APR, so DTI is now an underwriting judgment rather than a bright line. Back-end DTI is also where revolving balances quietly disqualify people — a card's minimum payment counts in full even if you intend to clear it at closing.

How do I lower my rate after closing?

There is no statutory right to demand a lower rate from your lender in the US — you refinance instead, replacing the old note with a new one. The arithmetic is a break-even: divide closing costs by the monthly saving. Refinancing this $300,000 loan from 6% to 4.5% cuts the payment from about $1,799 to $1,520, a $279 saving, so $6,000 of closing costs pays back in roughly 22 months — worth doing if you will stay well past that, not if you may sell or move sooner. Watch two traps: resetting to a fresh 30-year term can raise lifetime interest even at a lower rate, and rolling closing costs into the balance hides them rather than removing them. FHA and VA borrowers have streamlined refinance programs with lighter documentation. A cheaper alternative some servicers offer is a recast — you pay a lump sum toward principal and they re-amortize the remaining balance over the original term for a small fee, lowering the payment without a new loan or a new rate.

Variable or fixed rate — which is better?

Adjustable wins if rates fall, fixed wins if they rise — and in the US the asymmetry favors fixed, because you can refinance downward later while the lender can never push your rate up. The 30-year fixed mortgage is a distinctly American product, sustained by the agency securitization market, and it dominates the market for exactly that reason. Adjustable-rate loans are quoted as 5/1, 7/1, or 10/1: a fixed introductory stretch, then annual resets against an index — SOFR-based since LIBOR was retired — plus a fixed margin. The caps matter more than the headline rate and are written as three numbers such as 2/2/5 or 5/2/5, meaning the largest first adjustment, each later adjustment, and the lifetime increase over the starting rate. Read the lifetime cap as your worst case and confirm you could still afford it. This calculator assumes one fixed rate, so to model an adjustable loan, run the introductory rate and then run the fully-capped rate as a stress case.

Why does this calculator differ from my bank app?

Banks often prorate the first month's interest from the disbursement date to month-end, so the first payment can differ slightly here. Variable rates change the payment at each reset, and some banks fix the repayment date to a set day, changing the interest day-count. This calculator uses a fixed-rate, equal-days-per-month estimate — best for comparing total interest size and repayment methods.

How much interest can I save by repaying early?

Equal-payment loans front-load interest, so prepaying early has the biggest effect. For $100,000 at 5% over 30 years (equal payment), an extra $20,000 repayment in year 5 can save thousands of dollars in total interest and shorten the term by several years. But weigh any prepayment penalty (usually only within the first three years) and your emergency fund. As a rule, if the loan rate exceeds safe-asset returns, repaying wins.

What if my DTI is too high to qualify?

A high back-end DTI restricts what you can borrow, but several levers move it. Lengthening the term lowers the monthly payment that feeds the ratio — on $300,000 at 4.5%, moving from a 20-year to a 30-year schedule drops the payment from about $1,898 to $1,520 — though it raises lifetime interest from roughly $155,500 to $247,200, so it is a real trade rather than a free win. Paying off credit cards and auto loans first removes their minimum payments from the numerator, often the fastest fix. A larger down payment shrinks the loan itself and can also drop private mortgage insurance out of the housing payment. You can add a co-borrower whose income counts, or document bonus, commission, or rental income that underwriting will accept with a two-year history. Buying discount points lowers the payment used in the ratio too. Compare the total-interest cost of each path here before committing to one.

Can I repay principal during the grace period?

Most loans allow prepayment (ad-hoc repayment) of principal even during grace. Grace is a period where you 'may pay interest only,' not one that forbids principal payment — so repaying whenever you have room shrinks the balance and reduces later interest. Note that prepayment penalties may still apply during grace, so check your contract's prepayment terms.

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This calculator is for informational purposes only. Actual tax and returns vary by individual circumstances and market conditions. Consult a tax advisor or financial professional for important decisions.