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Home-equity line · repayment-period conversion

HELOC draw-to-amortizing payment after the draw period ends

Price the payment a home-equity line converts to when the draw period ends: the balance standing at that moment, amortised in level instalments across the repayment period.

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What the engine returns
In every one of the three the amortising instalment stands well above the interest-only payment the same balance and rate produce, and the case with the shortest repayment period shows the largest jump of the three. Neither the balance nor the rate changed between the two readings: the entire difference is principal appearing in a payment that previously had none, squeezed into the years the agreement allows.
Balance at the start of repayment
HELOC annual percentage rate
Repayment period
MethodThe annuity payment formula applied to the balance standing at the end of the draw period, over the instalments in the repayment period, at a periodic rate derived from the annual rate — with the zero-rate case handled as an even division of the balance.
StandardLevel-payment amortisation applied to a home-equity line at repayment conversion
GuardA balance of nothing is refused rather than answered, and the pack pins that with a declared refusal vector: there is no schedule to build when there is nothing outstanding to repay.

What happens on the day the draw period ends

This is the ordinary level-payment relation, applied to the balance standing when the draw period ends. Every instalment now carries interest for the period AND a slice of principal, sized so the balance reaches exactly nothing on the final payment. Nothing about the arithmetic is exotic. What makes it consequential is the balance it inherits, because during the draw period nothing was reducing it.

The payment change is a multiple, not an increment. Adding principal to a payment that previously carried none, on a repayment period markedly shorter than a mortgage term, produces an instalment well above the interest-only one — and the borrower experiences the whole of it on a single billing date, with no ramp and no transition. This is the payment shock the instrument is known for, and it is entirely predictable years in advance.

The repayment period is the dominant lever on the size of the change, and it is fixed in the line agreement rather than chosen at conversion. A shorter repayment period compresses the same balance into fewer instalments, so the payment rises further above the interest-only figure — the shortest repayment period among the pack’s declared cases shows the largest jump relative to the same balance’s draw-period payment. Reading that clause when the line is opened costs nothing; discovering it at conversion costs the difference every month.

The rate is the second uncertainty and it compounds the first. A line priced off an index converts at whatever rate prevails on the conversion date, not the one that applied when the balance was drawn, so the instalment can be sized by a rate the borrower never agreed to at draw time. Pricing the conversion at a rate above today’s is not a pessimistic exercise — it is the only version of the exercise that reflects how the instrument works.

The best time to run this calculation is before the line is opened, and the second best is any time during the draw period, because both leave options open. Voluntary principal payments during the draw are the direct lever: every unit repaid early is a unit the repayment period never has to amortise, and it lowers this instalment in the same proportion. A rate of nothing is handled as its own case rather than as a limit — the balance simply divides evenly across the instalments.

The annuity payment formula applied to the balance standing at the end of the draw period, over the instalments in the repayment period, at a periodic rate derived from the annual rate — with the zero-rate case handled as an even division of the balance.

When this calculation is used

  • Pricing the conversion before opening a line, when the terms are still a choice rather than a schedule.
  • Testing whether a balance intended for the draw period can actually be carried once it has to be repaid.
  • Comparing the interest-only payment against its amortising successor on the same balance and rate — the pairing this cluster is built around.
  • Seeing how much a voluntary principal payment during the draw period lowers the instalment that follows it.
  • Stress-testing the conversion at a rate above the one applying today, since the conversion is priced when it happens rather than when the balance was drawn.

Worked example

The pack’s declared vectors are three balances at ordinary home-equity rates — the same balances and rates the interest-only calculator declares — each amortised over a different repayment period, from a decade to two.

In every one of the three the amortising instalment stands well above the interest-only payment the same balance and rate produce, and the case with the shortest repayment period shows the largest jump of the three. Neither the balance nor the rate changed between the two readings: the entire difference is principal appearing in a payment that previously had none, squeezed into the years the agreement allows.

Lower the balance and re-run, as a voluntary principal payment during the draw period would do, and the instalment falls in exact proportion — the clearest available demonstration that the draw period is where this payment is actually decided. Every figure is produced by the certified engine at mount; this page stores none. The pack also declares a refusal: a balance of nothing is declined, since a line with nothing outstanding has no schedule to convert to.

What each input represents

Balance at the start of repayment

The amount outstanding on the day the draw period ends. Absent voluntary principal payments this is simply the balance drawn, since interest-only billing leaves it untouched — which is why a balance drawn early in the draw period should be assumed to arrive at conversion intact rather than diminished.

HELOC annual percentage rate

The annual rate applying to the repayment period, divided into monthly periods. On a variable line this is the rate at conversion rather than the rate at draw, so the value worth entering is a considered guess about a future date and not a figure copied off today’s statement. A rate of nothing is permitted and gives an even division of the balance.

Repayment period

How long the repayment phase runs, in years, as set out in the line agreement. It is the lever with the most authority over the size of the payment change, and it is almost always shorter than a mortgage term — which is precisely why the same balance costs so much more to amortise here than it would inside a first mortgage.

Assumptions and limits

  • The rate is fixed for the whole repayment period. Real home-equity lines are typically variable, so an instalment priced here describes a rate held constant that may not be.
  • The balance entered is the balance at conversion. Draws taken later in the draw period and voluntary principal payments both change it, and neither is modelled.
  • Every instalment is level, falls at the end of its period, and is paid exactly as scheduled — no overpayments, no arrears.
  • The balance reaches exactly nothing on the final instalment; there is no balloon payment or residual, which some line agreements do provide for.
  • The periodic rate is the annual rate divided by the months in a year — the nominal convention lenders quote, not an effective annual rate compounded down.
  • Fees, insurance and any charges attached to the line are excluded, so this is not a total cost of credit for the borrowing.

What the guards protect against

  • A balance of nothing is refused rather than answered, and the pack pins that with a declared refusal vector: there is no schedule to build when there is nothing outstanding to repay.
  • The repayment period must be greater than nothing, so the instalment count is a real count — a repayment phase with no duration would ask the whole balance to clear in no payments.
  • The rate is bounded to the range a secured home-equity line is priced within, and a rate of nothing is routed to its own branch rather than through a formula that divides by it, so the interest-free case answers instead of failing.

Provenance

Level-payment amortisation applied to a home-equity line at repayment conversion

The annuity payment formula applied to the balance standing at the end of the draw period, over the instalments in the repayment period, at a periodic rate derived from the annual rate — with the zero-rate case handled as an even division of the balance.

Educational reference, not financial advice, and not a total cost of credit: fees and insurance are excluded and the rate on a real line is typically variable. The signed pack carries its own citation, which displays from the verified leaf once the calculator loads; the page reports the verification state of the release it mounted rather than asserting one.