finance calculator

Amortization with Prepayments (Recurring + Lump Sum)

Model an amortization schedule with both recurring extra monthly payments and a one-time lump-sum prepayment. See payoff months, total interest, and savings.

Results

Standard monthly payment (P&I)
$1,580
Monthly payment with recurring extra
$1,580
Months to payoff with prepayment
360.00
Years to payoff with prepayment
30.00
Total interest with prepayment
$318,861
Total interest without prepayment
$318,861
Interest saved vs no prepayment
$0
Total paid with prepayment
$568,861

Overview

This amortization with prepayments calculator lets you see how both recurring extra monthly payments and a one-time lump-sum prepayment affect your loan’s payoff timeline and total interest.

By combining a small extra amount every month with a larger lump sum when you receive a bonus, tax refund, or other windfall, you can significantly shorten your loan term and reduce interest paid. The calculator simulates the loan month by month and compares the prepayment scenario to a baseline schedule with no extra payments.

Use it to test different payoff strategies for mortgages, auto loans, or other fixed-rate loans before you commit to a plan.

How to use this calculator

  1. Enter your loan amount, annual interest rate (APR), and term in years for a fixed-rate loan.
  2. Choose a recurring extra monthly payment you can realistically afford and enter it, or leave it at zero if you only want to model a lump sum.
  3. If you expect a one-time windfall, enter the lump-sum prepayment amount and the month when you plan to apply it (1 for the first payment, 13 for after the first year, etc.).
  4. Review the standard monthly payment and the effective payment when your recurring extra is added.
  5. Check the payoff months and years with prepayments and compare to your original term to see how much sooner you can be debt-free.
  6. Compare total interest with and without prepayments, along with the interest saved and total amount paid under your plan.
  7. Experiment with different extra amounts, lump-sum sizes, and timing to find a payoff strategy that aligns with your budget and goals.

Inputs explained

Loan amount
The original principal or current balance of the loan you want to model, in dollars. For an existing loan, use the outstanding principal balance.
Annual interest rate (APR %)
The fixed annual interest rate on your loan, expressed as a percentage. This calculator assumes a fixed-rate amortizing loan.
Term (years)
The scheduled length of the loan in years (such as 15, 20, or 30). It determines the number of monthly payments in the base schedule.
Recurring extra monthly payment
A fixed amount you add to every monthly payment, directed entirely to principal. This models rounding up payments or dedicating a recurring portion of your budget to extra payoff.
Lump-sum prepayment
A one-time extra payment toward principal, such as from a bonus, tax refund, or asset sale. Enter 0 if you do not plan a lump-sum prepayment.
Month to apply lump sum
The month number when the lump-sum prepayment is applied (1 for the first payment, 12 for the end of year one, 13 for the start of year two, etc.). Earlier months usually produce more interest savings.

Outputs explained

Standard monthly payment (P&I)
The base fully amortizing monthly principal-and-interest payment without any extra payments, calculated from the loan amount, rate, and term.
Monthly payment with recurring extra
The effective monthly payment when you include your chosen recurring extra amount in addition to the standard principal-and-interest payment.
Months to payoff with prepayment
The number of months it will take to pay the loan in full when both the recurring extra and any single lump-sum prepayment are applied.
Years to payoff with prepayment
The same payoff timeframe expressed in years, making it easy to compare against your original term.
Total interest with prepayment
The sum of all interest paid over the life of the loan when you follow the prepayment plan defined by your recurring extra and lump sum inputs.
Total interest without prepayment
The total interest that would be paid if you only made the standard monthly payment over the entire term with no extra payments.
Interest saved vs no prepayment
The difference between total interest without prepayments and total interest with your prepayment plan. It represents the interest you avoid by paying down principal early.
Total paid with prepayment
The total of all payments (principal plus interest) made over the life of the loan when following your prepayment strategy.

How it works

We calculate the standard fully amortizing monthly principal-and-interest payment based on the loan amount, annual interest rate, and term in years.

Using that base payment, we simulate the loan on a monthly basis: each month, interest accrues on the remaining balance and the scheduled payment reduces principal.

If you enter a recurring extra monthly payment, we add that extra amount to every scheduled payment and apply the additional portion directly to principal.

If you enter a lump-sum prepayment and month, we apply that lump sum toward principal in the specified month, in addition to the regular payment and any recurring extras.

We continue the simulation until the loan balance reaches zero, at which point we record the payoff month, payoff years, total interest paid, and total amount paid under the prepayment plan.

Separately, we compute total interest and payoff timing for the baseline schedule with no prepayments, so we can show interest saved and time saved by following your prepayment strategy.

Formula

Standard fixed-rate payment:
Let L = loan amount
Let r = monthly interest rate (APR ÷ 12)
Let n = total number of months (years × 12)

Base payment = L × [ r × (1 + r)^n ] ÷ [ (1 + r)^n − 1 ]

Simulation with prepayments:
For each month i until payoff:
  Interest_i = Balance_{i-1} × r
  Principal_base_i = Base payment − Interest_i
  Principal_extra_i = Recurring extra (if any)
  Principal_lump_i = Lump sum (only in the chosen lump month)
  Total principal_i = Principal_base_i + Principal_extra_i + Principal_lump_i
  New balance = max(0, Balance_{i-1} − Total principal_i)

Total interest with prepayments = Σ Interest_i
Interest saved = Total interest without prepayments − Total interest with prepayments

When to use it

  • Modeling how a tax refund, bonus, or one-time cash infusion combined with rounding up monthly payments affects your mortgage or other loan payoff.
  • Comparing recurring extra payments versus a lump-sum-only approach to see which yields more interest savings and faster payoff.
  • Planning debt payoff strategies across multiple loans by modeling different extra payment levels for each loan before prioritizing where to focus.
  • Preparing talking points for coaching, advising, or family discussions about the benefits of prepaying debt.
  • Trying out aggressive payoff goals (such as retiring a mortgage in 15 years instead of 30) and seeing what extra payments are needed to get there.

Tips & cautions

  • Prepayments applied earlier in the loan usually save more interest than the same dollars applied later because interest accrues on a smaller balance for longer.
  • If you only want recurring extras, set the lump-sum amount to zero. For lump-sum-only scenarios, set the recurring extra to zero.
  • Always check your loan documents for prepayment penalties, restrictions, or requirements about how extra payments must be labeled to ensure they go to principal.
  • Remember that this calculator focuses on principal and interest only; your real monthly payment may be higher due to taxes, insurance, PMI, and other fees.
  • Use the interest-saved figure as one input when deciding whether to prepay versus invest, alongside risk tolerance, expected returns, and your broader financial plan.
  • Assumes a fixed-rate, fully amortizing loan with level monthly payments and does not support adjustable-rate mortgages, interest-only loans, or negative amortization.
  • Ignores escrow for taxes and insurance, PMI, HOA dues, and fees; it models principal and interest components only.
  • Assumes a constant recurring extra payment and a single lump-sum prepayment; it does not itemize multiple lump sums or variable extra payments.
  • Does not mimic lender-specific rules about rounding, payment timing, or how partial payments are handled, which can slightly change real payoff dates and totals.
  • Not a substitute for official payoff quotes or lender-provided amortization schedules; always verify with your lender before making large prepayment decisions.

Worked examples

$250,000 loan, 6.5% APR, 30 years, $150 recurring extra, $10,000 lump sum in month 24

  • Calculate the base monthly payment for a $250,000 loan at 6.5% over 30 years.
  • Add $150 to each scheduled payment and apply a $10,000 lump-sum prepayment in month 24.
  • Simulate month by month until the loan is paid off and record payoff time and total interest with prepayments.
  • Compare total interest to the no-prepayment baseline; the difference is interest saved by the $150 recurring extra and $10,000 lump sum.

Recurring extra vs lump sum only

  • Scenario A: $200 recurring extra each month, no lump sum.
  • Scenario B: no recurring extra, but a $15,000 lump sum in month 60.
  • Run the calculator for each scenario and compare payoff years and interest saved.
  • Use the results to decide whether a steady monthly extra or a delayed lump sum has a bigger impact for your situation.

Targeting a shorter payoff horizon

  • Enter your current loan terms and start with a guess for the recurring extra payment.
  • Check the payoff years with prepayments and see how close it is to your desired horizon (for example, 10 years instead of 15).
  • Increase or decrease the recurring extra and rerun until the payoff years align with your goal.
  • This helps translate a time-based payoff goal into a concrete extra payment amount.

Deep dive

Model a loan amortization schedule with both recurring extra payments and a one-time lump-sum prepayment to see how much sooner you can pay off your loan and how much interest you might save.

Enter loan details, a recurring extra amount, and a lump-sum prepayment month and amount to compare your prepayment plan against the baseline schedule instantly.

FAQs

Will my required payment change when I make prepayments?
This calculator assumes the required monthly principal-and-interest payment remains constant and that extra amounts reduce principal and shorten the term. Some lenders may recast loans after large lump-sum payments to lower the required payment instead. Check with your lender to see how prepayments are handled.
Is paying extra on my loan always better than investing the money?
Not always. Prepaying a 6% loan is like earning a guaranteed 6% return, but investing may or may not outperform that rate. Your decision should consider loan terms, risk tolerance, alternative investment opportunities, liquidity needs, and taxes. A financial professional can help you weigh these factors.
Does this calculator include PMI, escrow, or fees?
No. It models only principal and interest on a fixed-rate loan. PMI, property taxes, homeowner's insurance, HOA dues, and lender fees are not included, though paying down principal faster may help you reach thresholds where PMI can be removed.
Can I use this for car loans, student loans, or personal loans?
Yes, as long as the loan is a standard fixed-rate installment loan with regular payments. For variable-rate loans, lines of credit, or loans with unusual payment structures, the results will only be rough approximations.
Why doesn’t this show a full amortization table?
To keep the interface simple and fast, this tool summarizes key metrics like payment amounts, payoff time, and total interest with and without prepayments. If you need a detailed month-by-month breakdown, you can use these results as a starting point in a spreadsheet or specialized amortization software.

Related calculators

This amortization with prepayments calculator is for educational purposes only and provides simplified estimates of payments, payoff timing, and interest savings based on your inputs and a fixed-rate amortization model. It is not a loan offer, payoff quote, or financial advice. Actual loan terms, interest charges, and prepayment handling depend on your lender's policies and your loan agreement. Always review official loan documents and consult qualified professionals before making borrowing, refinancing, or prepayment decisions.