Amortisation schedules: understanding the outstanding principal

Your payment does not change, but its composition changes with every instalment. That is why, after ten years of a twenty year loan, you have not repaid half of it.

Publisher: WM STUDIOS. Last updated: 21 August 2026. This page describes a calculation mechanism and the applicable French law. It is neither lending advice nor financial planning advice.

Every payment splits in two

A fixed payment loan is repaid according to a plan known in advance, the amortisation schedule. Each instalment is split in two: the interest, which pays for the money you still owe, and the principal, which actually reduces your debt.

The payment itself stays the same. What changes is the proportion between the two parts, and the mechanism is straightforward: the interest on an instalment is computed on the outstanding principal at that moment. As that balance falls, the interest share falls with it, and the principal share grows by the same amount.

What that looks like, with numbers

Take a 200,000 € loan over 20 years at 3.50 %. The monthly payment works out at 1,159.92 €. Here are four instalments from the schedule.

InstalmentInterestPrincipalOutstanding principal after
1st583.33 €576.59 €199,423.41 €
2nd581.65 €578.27 €198,845.15 €
120th (10 years)344.50 €815.42 €117,298.81 €
240th (last)3.37 €1,156.55 €0.00 €

Look at the first row: more than half of the first payment goes to interest. By the last instalment, interest is down to 3.37 € out of 1,159.92 €. Between the two, the shift is gradual and never abrupt.

Halfway through, you have not repaid half

This is the least intuitive consequence of the mechanism, and the one that surprises people most when they come to sell or refinance.

AfterPrincipal repaidShare of the loanOutstanding principal
5 years37,746.85 €18.9 %162,253.15 €
10 years (halfway)82,701.19 €41.4 %117,298.81 €
20 years200,000.00 €100 %0.00 €

Half the term elapsed therefore does not mean half the debt extinguished, but roughly 41 %. A quarter of the term clears only 19 %. Over the full life of the loan, interest totals 78,380.66 €, or 39.2 % of the amount borrowed.

0 k€ 50 k€ 100 k€ 150 k€ 200 k€ 0 yr 5 yr 10 yr 15 yr 20 yr 117,299 € left at the halfway point, 41.4 % repaid straight-line repayment: 100,000 € outstanding principal · 200,000 € at 3.50 % over 20 years
The curve runs above the diagonal, and that is the whole point. At the halfway mark 117,299 € remain rather than 100,000: only 41.4 % of the principal has been repaid, because the early payments are mostly interest. The dashed diagonal is straight-line repayment, which does not exist in a constant-payment loan. Curve recomputed instalment by instalment.

The two formulas, if you want to recompute

The payment on a fixed rate loan follows from the amount borrowed, the periodic rate and the number of instalments. Writing C for the principal, i for the monthly rate (the annual rate divided by twelve) and n for the number of payments:

payment = C × i / (1 − (1 + i)−n)

And the outstanding principal, writing r for the number of payments still to come, follows from the payment:

outstanding principal = payment × (1 − (1 + i)−r) / i

That second formula is the only one that matters for tracking wealth: this amount, and not the sum of the instalments still to come, is your real debt. The point is developed in the page on calculating net worth.

What the schedule does not include

What actually leaves your account each month is often more than the scheduled payment, and the difference amortises nothing.

Borrower's insurance is added to the instalment but does not reduce the principal by a single cent. It covers a risk; it does not repay a debt. Confusing it with the payment leads to overestimating how fast the loan is being cleared.

Arrangement fees and the cost of the guarantee (a surety or a mortgage charge) are paid up front. They make the credit more expensive without appearing in the schedule.

This is also why two rates circulate. The nominal rate is what builds the amortisation schedule. The annual percentage rate additionally includes compulsory insurance, fees and the guarantee: it measures the real cost of the credit, but it is not used to compute the instalments.

Where the schedule is different

Everything above assumes a conventional fixed rate loan with constant payments. Four arrangements fall outside it.

Variable or reviewable rates. The schedule only holds until the next review. A tracker therefore cannot rely on a plan drawn up once and for all: the outstanding principal has to be read from the lender's statement.

Interest only loans. You pay interest alone for the whole term and repay the principal in one go at maturity. The outstanding principal therefore stays equal to the amount borrowed until the very last day, which changes the reading of net worth entirely.

Deferred amortisation. Common for off plan purchases or building works. During the deferral no principal is repaid, and if the deferral is total the interest itself is capitalised, so the debt grows before it starts to fall.

Stepped loans and payment modulation. Several loans secured on the same property, or a payment deliberately varied along the way, produce as many schedules as there are lines. Each has its own outstanding principal, and it is their sum that belongs in the liability side.

Early repayment: what French law says

Repaying all or part of the principal ahead of schedule removes the corresponding future interest, since it was paying for capital that is no longer owed. The lender may however charge an indemnity, and that indemnity is capped.

Article R313-25 of the French Consumer Code sets a double cap for a residential mortgage: the indemnity may not exceed six months of interest on the capital repaid at the loan's average rate, nor 3 % of the outstanding principal before repayment. The lower of the two amounts applies.

On our example, after five years the outstanding principal is 162,253.15 €. Settling it in full:

Statutory capCalculationAmount
3 % of outstanding principal162,253.15 × 3 %4,867.59 €
6 months of interest at the loan rate162,253.15 × 3.50 % ÷ 22,839.43 €
Indemnity applicablethe lower of the two2,839.43 €

These are caps, not amounts due: a contract may provide for less, or for nothing. The exact terms are in your loan offer, and the law exempts certain circumstances from any indemnity at all.

Where to find this calculation in PulseMyPortfolio

You declare a loan with its amount, rate, term and start date. The application derives the outstanding principal as of today, keeps it updated over time, and deducts it from your assets to establish net worth. Several loans can sit side by side, each with its own amortisation.

The application describes your situation; it does not tell you what to do about it. It recommends no early repayment, no renegotiation, no trade off. Every calculation runs on your device.

Sources

Every amount on this page is computed on a conventional constant payment amortisation: 200,000 € over 20 years at a 3.50 % nominal rate, excluding insurance and fees. Rounding may differ from your lender's by a few cents depending on its calculation convention.

Further reading

The page on calculating net worth shows where this outstanding principal fits, and the gap created by confusing it with the remaining payments. The frequently asked questions cover how the application works.