Free · Debt management calculators 💳

Balloon Loan Payment & Remaining Principal

Estimate monthly payments on a longer amortization schedule and the remaining principal due at an earlier balloon date.

  • Formula & worked example
  • Private in your browser
  • No signup
Go to tool

Calculator inputs

Loading calculator…

How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Use the result with context

Results are estimates for planning and education. Confirm rates, taxes, fees, and legal requirements with the relevant institution or a qualified professional before making a financial decision.

Formula and method

A 12,000 zero-interest loan amortized over twelve months needs 1,000 monthly. After six payments, 6,000 remains as a balloon; installments plus balloon total 12,000.

Payment is based on n amortization months; balloon after k payments is the remaining scheduled principal

Worked example

Enter these known values and leave the other values blank.

Original financed principal
12000 USD
Annual nominal interest rate
0 %/yr
Full amortization duration
1:0 yrs / mos
Elapsed payments before the balloon
0:6 yrs / mos
Scheduled monthly installment
1000 USD
Installments paid before the balloon
6000 USD
Remaining principal at balloon date
6000 USD
Installments plus balloon payoff
12000 USD

Assumptions and limitations

  • The annual nominal rate is divided by twelve. Payments occur at the end of equal monthly periods; the rate and payment stay fixed.
  • The balloon is due immediately after the specified installment. Its elapsed term is between zero and the full positive amortization term.
  • Fractional terms are mathematical interpolation, not an exact dated schedule. Fees, extra payments, prepayment charges and lender rounding are excluded.
  • At the full amortization term the balloon is zero. A zero balloon at that full term alone cannot determine original principal. The total shown ends at the balloon date. Principal starts locked; unlock it to infer principal from an earlier nonzero balloon.

Common questions

Why does a longer amortization leave a balloon?

Monthly payments are sized to repay over the full amortization term. Ending the loan sooner leaves some principal unpaid.

Does the balloon include all future scheduled interest?

No. It is the remaining principal immediately after the modeled installments, excluding future unaccrued interest and separate payoff charges.

References

Bookify handles zero interest throughout the payment and balloon formulas and resolves the captured circular principal inverse. Bookify requires nonnegative rates and payments, positive principal and amortization duration, and a balloon date within that duration.

Explore debt management calculators 💳 or browse all finance calculators.