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Loan Repayment Calculator

Calculate your loan payments and payoff schedule

Loan Repayment Formulas
Monthly Payment:
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Total Interest:
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Remaining Balance:
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Repayment Analysis

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Monthly Payment
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Total Amount Paid
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Total Interest
Payoff Timeline
Payment Breakdown
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Interest

Quick Start: Plan Your Payoff

  1. Enter your current Loan Amount ($) — the remaining balance you still owe, not the original loan amount. Pull this from your latest statement.
  2. Enter the Annual Interest Rate (%) shown on your loan agreement. Use the note rate, not the APR (APR includes one-time fees you've already paid).
  3. Enter Loan Term (months) for the remaining schedule. A 30-year mortgage with 22 years left has 264 months remaining; a 5-year auto loan with 3 years left has 36.
  4. Enter an Extra Monthly Payment ($) to test a prepayment strategy. Try $100, $200, or your full bi-weekly equivalent (regular payment ÷ 12) to see interest and time saved.
  5. Compare scenarios by changing only the extra payment field. The widget shows how much interest you avoid and how many months you cut off the payoff timeline.

Examples

Mortgage payoff: $200K at 6% with $200 extra monthly

You're 5 years into a 30-year mortgage. Your remaining balance is $200,000, your rate is 6.0%, and 25 years (300 months) remain. You want to know what an extra $200 per month does.

ResultMonthly payment $1,288.60 base + $200 extra = $1,488.60. Loan pays off in roughly 19 years instead of 25, saving about 6 years and $78,000 in interest.

The base P&I payment is computed from PMT = 200000 × (0.005 × 1.005^300) / (1.005^300 − 1) ≈ $1,288.60. Adding $200/month to principal each cycle reduces the balance faster, so each subsequent interest charge (balance × 0.005) shrinks more quickly. The compounding effect of front-loaded principal reduction is what produces the outsized interest savings.

Auto loan: bi-weekly payment trick

A $30,000 auto loan at 7.0% APR over 60 months has a standard monthly payment of $594.04. Instead of paying monthly, you split it: $297.02 every two weeks.

Result26 bi-weekly payments per year equals 13 full monthly payments, equivalent to adding $49.50/month ($594.04 ÷ 12). The loan pays off about 4 months early and saves roughly $560 in interest.

Bi-weekly payments work because there are 52 weeks (26 fortnights) in a year, not 48 weeks (24 fortnights). The extra two half-payments per year act as principal prepayments. Important: your lender must apply each bi-weekly payment immediately, not hold them until a monthly amount accumulates. If they hold payments, you get no benefit—simulate the same effect by paying 1/12 extra each month, which this calculator does directly.

Lump-sum windfall: $10K bonus to a personal loan

You have a $25,000 personal loan at 11% APR with 48 months remaining (monthly payment $645.97). You receive a $10,000 work bonus and apply it as a single principal payment.

ResultAfter the $10K lump sum, your remaining balance is $15,000 at 11% over the original 48-month schedule. Re-running the calculator on that balance shows the loan now pays off in about 27 months at the same $645.97/month, saving roughly $3,100 in interest and 21 months.

Lump sums are effectively a one-time principal reduction. You re-amortize the smaller balance at the same rate and original payment. Most lenders allow you to either (a) keep the payment the same and shorten the term — the high-savings option — or (b) lower the payment and keep the term. Option (a) maximizes interest savings; option (b) maximizes cash flow flexibility. Confirm which option your servicer applies by default.

How the Repayment Math Works

Every amortizing loan obeys the same identity: monthly interest = current balance × monthly rate. The monthly rate is the annual rate divided by 12, so a 6% loan accrues 0.5% interest on the outstanding balance each month. Your scheduled payment first covers that interest charge; whatever's left reduces the principal.

Because the interest charge depends on the balance, every extra dollar you put toward principal saves you the future interest that dollar would have generated for the remaining life of the loan. A $1,000 prepayment in year 1 of a 30-year loan at 6% prevents roughly $1,400 of future interest; the same $1,000 in year 25 only prevents about $200. This is why prepayment timing matters as much as amount.

The widget simulates this month by month. It computes the standard payment using PMT = P × r(1+r)^n / ((1+r)^n − 1), then runs an amortization loop: subtract interest from your total payment, apply the rest plus your extra to principal, repeat until the balance hits zero. The 'months saved' and 'interest saved' figures compare this accelerated schedule against the baseline schedule with no extra payments.

When to Use This Calculator

  • Deciding whether to prepay a fixed-rate loan. You have extra cash and want to compare the interest savings from prepayment against the loan's stated rate. The calculator gives you an exact dollar-and-time answer so you can weigh it against alternative uses of that money.
  • Sizing a bi-weekly or 1/12 prepayment plan. You want to know whether splitting payments in half every two weeks (or adding 1/12 of the payment each month) is worth the operational hassle. Enter the equivalent monthly extra and see the savings.
  • Modeling a lump-sum prepayment after a windfall. Tax refund, bonus, inheritance, or sale proceeds — enter your post-windfall balance and the original payment to see your new payoff date and the interest you've avoided.
  • Comparing accelerated payoff against a refinance. Before paying refinance closing costs, check whether simply prepaying your current loan gets you to the same finish line faster and cheaper. Often the answer is yes if rates haven't dropped meaningfully.
  • Choosing which debt to attack with extra payments. Run the calculator on each loan with the same proposed extra amount. The loan with the largest interest savings per dollar of prepayment is usually the one to target (avalanche method).

Common Mistakes to Avoid

  • MistakeEntering the original loan amount instead of the current balance
    FixUse your most recent statement's principal balance. The original amount overstates the interest you'll still pay because part of it is already retired.
  • MistakeConfusing APR with the note rate
    FixEnter the note rate (also called the interest rate) from your promissory note, not the APR. APR includes one-time origination fees rolled into a single percentage and produces a slightly higher monthly payment in this formula than what you actually pay.
  • MistakeForgetting to tell the lender to apply extra to principal
    FixBy default, many servicers apply extra payments as a prepayment of the next month's bill — your loan doesn't accelerate at all. Send a written instruction (or use the 'principal-only' option in their portal) specifying that extra payments reduce principal.
  • MistakeIgnoring prepayment penalties on personal and auto loans
    FixFederal law bars most mortgage prepayment penalties (Dodd-Frank), but auto, personal, and student loans can still charge them. Read the loan agreement's 'Prepayment' clause before paying ahead. A 2% penalty on a $20,000 balance is $400.
  • MistakePrepaying low-rate debt while carrying high-rate debt
    FixIf you have a 3% mortgage and 22% credit card debt, every extra dollar belongs on the credit card first. The avalanche method (highest rate first) saves more than chronological or emotional ordering.
  • MistakePrepaying instead of funding an emergency reserve
    FixMoney paid into a loan is hard to retrieve. Keep three to six months of expenses in a liquid account before accelerating loan payoff, so a job loss or repair doesn't force new high-rate borrowing.

Frequently asked questions

Should I pay off my loan early or invest the money instead?

Compare your loan's after-tax interest rate to your expected after-tax investment return. Prepaying a 7% loan is a guaranteed 7% return; an S&P 500 index fund's long-run average is around 7-10% but with volatility and no guarantee. For low-rate mortgages (3-5%), investing typically wins long term; for high-rate debt (credit cards, personal loans above 8%), prepayment almost always wins because the 'return' is risk-free.

Is there a prepayment penalty on my loan?

Check the 'Prepayment' section of your loan agreement. The CFPB's qualified-mortgage rules bar prepayment penalties on most home loans originated after 2014, but auto, personal, student, and some older mortgages can still charge them. Typical penalties are 1-3% of the prepaid amount or a few months of interest. Call your servicer and ask: 'Is there a prepayment penalty if I pay extra toward principal this month?'

Bi-weekly vs monthly: does it actually matter?

Yes — bi-weekly produces 26 half-payments per year, which equals 13 monthly payments, not 12. That extra full payment per year goes entirely to principal. On a 30-year mortgage it shaves roughly 4-5 years off the term. But the benefit only materializes if your servicer applies each bi-weekly payment immediately. If they hold the first half until the second arrives (then apply them as one monthly payment), you save nothing. Many third-party 'bi-weekly programs' charge a fee for what you can do for free by adding 1/12 of the monthly payment to each payment.

Where should I apply extra payments — principal or interest?

Always principal. Interest is already calculated on the balance; you can't 'prepay interest' on a standard loan in any useful way. Reducing principal lowers every future interest charge for the rest of the loan, which is where the savings come from. When you send extra money, include written instructions: 'Apply to principal only. Do not advance the next payment due date.' Many servicers default to advancing the due date, which gives you no interest savings.

Should I prepay my loan or invest in the market instead?

Math says: if your loan's after-tax rate is below your expected investment return, invest. Behaviour says: if debt causes you stress or you might miss future investment contributions, prepay. The 'all of the above' compromise is splitting extra cash: enough prepayment to feel progress, enough investing to capture market growth. For most US households, the practical hierarchy is — (1) capture employer 401(k) match, (2) pay off any debt above 8%, (3) fully fund emergency reserve, (4) then split between retirement investing and lower-rate debt prepayment.

How do I tell my lender to apply extra payments to principal?

Most online portals have a 'Pay Extra Principal' or 'Principal-Only Payment' option separate from the regular payment field. If you're mailing a check, write 'For principal reduction only' on the memo line and include a brief letter saying: 'Please apply this $X payment entirely to principal and do not change the next scheduled payment date.' Then verify on your next statement that the principal balance dropped by your extra amount.

Does this calculator handle variable-rate loans?

No — it assumes a single fixed rate for the remaining term, like a fixed mortgage, auto loan, or personal loan. For an ARM after reset, an income-driven student loan, or a credit card with variable APR, the savings figures are only accurate until the rate changes. Re-run the calculator with the new rate and remaining balance whenever your rate adjusts.

What about taxes — does prepaying reduce my mortgage interest deduction?

Yes. If you itemize and deduct mortgage interest under IRS Publication 936, prepaying reduces the interest you pay and therefore your deduction. But the deduction only refunds a fraction of the interest (your marginal tax rate, typically 22-32% federal), so prepaying still saves more than the lost deduction. With the higher post-2017 standard deduction, many homeowners don't itemize anyway — confirm with your tax situation.

If I make one extra payment, will my monthly payment go down?

Not automatically. Most fixed-rate loans keep the scheduled payment unchanged and simply finish earlier. To lower the monthly payment instead of shortening the term, you typically need a 'recast' (mortgage) or 'reamortization,' which the servicer performs after a substantial principal prepayment — often for a small fee. Recasting is rare for auto and personal loans; the standard outcome is a shorter payoff date with the same monthly bill.

Why does the payoff date differ from my servicer's projection?

Three common reasons: (1) your servicer's projection assumes today's payment continues unchanged with no extras, while this calculator models your proposed extra; (2) timing of when extra payments post (mid-cycle vs end-of-cycle) shifts the result by a few months over a 30-year horizon; (3) your servicer may include scheduled escrow disbursements in its balance figure. For an authoritative payoff date, request a current amortization schedule from the servicer after a sample month of accelerated payments.

Does paying extra hurt my credit score?

No. Paying ahead reduces your reported balance and lowers your credit utilization on revolving accounts (a positive signal). For installment loans, prepayment doesn't hurt your score and paying the account off may temporarily shave a few points (you lose an active tradeline) but the long-term effect on financial health is overwhelmingly positive.

Sources

Methodology

This calculator simulates loan payoff month by month using the standard amortization identity: each month's interest charge equals the current balance times the monthly rate (annual rate ÷ 12), and the rest of your scheduled payment plus any extra payment is applied to principal. The base monthly payment is computed from PMT = P × r(1+r)^n / ((1+r)^n − 1). The 'interest saved' and 'months saved' figures compare your accelerated schedule against the baseline schedule with zero extra payments at the same rate and starting balance. Results assume a fixed rate, on-time payments, and that the lender applies extra payments to principal immediately rather than advancing the due date.

Pro Tips

  • Bookmark this calculator for quick access in the future
  • Use the share button to send your results to others
  • Try different scenarios to compare outcomes
  • Check out our related calculators for more insights

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