100% free
Annuity loan calculator
Calculate monthly payment, interest, and amortization for an annuity loan — loan amount, rate, and repayment only.
Monthly payment
€500.00
Schedule over fixed-rate period
| Month | Interest | Repayment | Remaining debt |
|---|---|---|---|
| 1 | €333.33 | €166.67 | €99,833.33 |
| 2 | €332.78 | €167.22 | €99,666.11 |
| 3 | €332.22 | €167.78 | €99,498.33 |
| 4 | €331.66 | €168.34 | €99,329.99 |
| 5 | €331.10 | €168.90 | €99,161.09 |
| 6 | €330.54 | €169.46 | €98,991.63 |
| 7 | €329.97 | €170.03 | €98,821.60 |
| 8 | €329.41 | €170.59 | €98,651.01 |
| 9 | €328.84 | €171.16 | €98,479.84 |
| 10 | €328.27 | €171.73 | €98,308.11 |
| 11 | €327.69 | €172.31 | €98,135.80 |
| 12 | €327.12 | €172.88 | €97,962.92 |
Showing 12 of 331 months (includes fixed-period end).
Calculations are indicative only and do not constitute a financing offer. No guarantee of accuracy. This tool does not replace professional legal, tax, or financial advice.
How does a repayment calculator work out the payment on an annuity loan?
Payment = loan amount × (interest rate + initial repayment) ÷ 12. On €100,000 at 4% interest and 2% repayment that is €500 a month. Instead of the percentage, you can also enter the repayment in the calculator as a fixed monthly amount.
Interest is calculated monthly on the remaining debt: remaining debt × interest rate ÷ 12. Whatever is left of the payment is repayment. In the first month that is €333.33 of interest and €166.67 of repayment, in the second €332.78 of interest and €167.22 of repayment.
What is the formula for an annuity loan?
With monthly interest rate i (annual rate ÷ 12) and a term of n months: payment = loan × i × (1 + i)^n ÷ ((1 + i)^n − 1). The remaining debt after m months is: loan × (1 + i)^m − payment × ((1 + i)^m − 1) ÷ i.
In Germany the contract usually fixes the initial repayment rate and not the term. The payment then follows from interest plus repayment, and the term follows from that.
At 4% interest and 2% repayment it takes about 27.5 years to repay the loan in full, at 3% repayment about 21 years. That only holds if the interest rate stays the same the whole time.
If you want to fix the term, you calculate the other way round: €100,000 over 20 years at 4% interest needs a payment of €605.98. That equals an initial repayment of about 3.27%.
What does the repayment schedule show?
The repayment schedule lists interest, repayment and remaining debt for every month. The calculator shows the first twelve months as a table, the remaining debt at the end of the fixed-rate period as a figure, and a chart over the whole fixed-rate period.
The most important figure is the remaining debt after the fixed period. You need follow-up financing for it, and nobody knows today what rate that will carry. The higher the initial repayment, the smaller this amount.
Total interest shows what the loan costs up to the end of the fixed-rate period.
A check with the remaining debt formula for the example: €100,000 × 1.490833 − €500 × 147.2498 = about €75,458.
Worked example
Loan amount €100,000, example interest rate 4%, initial repayment 2%, fixed-rate period 10 years.
Monthly payment: €100,000 × 6% ÷ 12 = €500.
Total interest over 10 years: €35,458.37. Repaid: €24,541.63.
Remaining debt after the fixed period: €75,458.37.
Guide
How it works
Enter the loan
Enter loan amount, nominal rate, and fixed-rate period.
Set repayment
Choose initial repayment as a percent or fixed monthly amount.
Read the schedule
See annuity, total interest, and month-by-month amortization.
Questions
Frequently asked questions
More tools
More free tools
Interest-only period calculator
Simulate a loan with an initial interest-only period, then annuity repayment.
Open toolBullet loan calculator
Calculate interest cost and balloon payment for a bullet loan during the fixed-rate period.
Open toolRepayment substitute calculator
Model repayment substitute: bank interest plus savings with expected return until payoff.
Open toolMortgage calculator
Calculate closing costs, monthly annuity, and amortization for your property loan.
Open toolHome affordability calculator
Find out what purchase price you can afford based on income, costs, and financing.
Open toolMore than a calculator?
Save calculations, screen deals, and let Nora handle due diligence.
Try Leverage for free