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Mortgage Repayment Calculator

Repayment schedule for your mortgage. Free online Mortgage Repayment Calculator for financial — instant, accurate results, mobile-friendly, no signup needed.

Principal, interest, taxes and insurance (PITI).
Monthly
$1,432.86
Total paid
$343,886.91

Derivation

  1. ├── 01GivenP = 200000, r = 6, n = 20
  2. ├── 02FormulaMonthly: Zs(t,a / 100 / 12,12 × n)
  3. ├── 03SubstituteZs(t,a / 100 / 12,12 × 20)
  4. ├── 04Compute Monthly$1,432.86
  5. ├── 05FormulaTotal paid: Zs(t,a / 100 / 12,12 × n) × n × 12
  6. ├── 06SubstituteZs(t,a / 100 / 12,12 × 20) × 20 × 12
  7. └── 07Compute Total paid$343,886.91
Did you know?

Every calculator here runs 100% in your browser — nothing is sent to a server or stored in a database.

§01What is

Understanding the Mortgage Repayment Calculator

The Mortgage Repayment Calculator computes Monthly from 3 inputs: balance ($), rate (%), years remaining. Repayment schedule for your mortgage.

Quick calculators for the math that shouldn’t need a notepad — instant, accurate, private to your browser. The Mortgage Repayment Calculator sits in that toolkit — it repayment schedule for your mortgage. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

Monthly = Zs(t,a / 100 / 12,12 × n) | Total paid = Zs(t,a / 100 / 12,12 × n) × n × 12

Where

P
Balance ($)
r
Rate (%)
n
Years remaining
Monthly
Output value
Total paid
Output value
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Balance ($) = 200000, Rate (%) = 6, Years remaining = 20.

  1. 01Start by noting the input — Balance ($): 200000.
  2. 02Start by noting the input — Rate (%): 6.
  3. 03Start by noting the input — Years remaining: 20.
  4. 04Substitute these values into the formula: Monthly = Zs(t,a / 100 / 12,12 × n) | Total paid = Zs(t,a / 100 / 12,12 × n) × n × 12
  5. 05Compute Monthly: the calculator returns 1432.86.
  6. 06Compute Total paid: the calculator returns 343887.
  7. 07Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Mortgage Repayment Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

Balance ($) halved

P = 100000 (from 200000)

Keep every other input at its default and halve the balance ($). See how monthly responds.

  1. 01New Balance ($): 100000
  2. 02Baseline Monthly: 1432.86
  3. 03New Monthly: 716.431
  4. 04Monthly decreases by 50% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Balance ($) doubled

P = 400000 (from 200000)

Keep every other input at its default and double the balance ($). See how monthly responds.

  1. 01New Balance ($): 400000
  2. 02Baseline Monthly: 1432.86
  3. 03New Monthly: 2865.72
  4. 04Monthly increases by 100% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Rate (%) halved

r = 3 (from 6)

Keep every other input at its default and halve the rate (%). See how monthly responds.

  1. 01New Rate (%): 3
  2. 02Baseline Monthly: 1432.86
  3. 03New Monthly: 1109.2
  4. 04Monthly decreases by 22.6% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Rate (%) doubled

r = 12 (from 6)

Keep every other input at its default and double the rate (%). See how monthly responds.

  1. 01New Rate (%): 12
  2. 02Baseline Monthly: 1432.86
  3. 03New Monthly: 2202.17
  4. 04Monthly increases by 53.7% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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