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Financial

How Much House Can I Afford?

Estimate your max home budget. Free online How Much House Can I Afford?. Calculate how much house can i afford? online — fast, accurate, mobile-friendly, no sig

Max home price
$240,492.11

Derivation

  1. ├── 01Givenincome = 90000, debt = 500, r = 7, n = 30
  2. ├── 02Formula{let t=e.income,a=e.debt,n=e.r,r=e.n;return(t / 12 × .28-a) × (1-(1+n / 100 / 12)^(12 × -r)) / (n / 100 / 12)}
  3. ├── 03Substitute{let t=e.90000,a=e.500,30=e.7,7=e.30;return(t / 12 × .28-a) × (1-(1+30 / 100 / 12)^(12 × -7)) / (30 / 100 / 12)}
  4. └── 04Compute Max home price$240,492.11
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§01What is

Understanding the How Much House Can I Afford?

The How Much House Can I Afford? computes Max home price from 4 inputs: annual income ($), monthly debts ($), mortgage rate (%), years. Estimate your max home budget.

Quick calculators for the math that shouldn’t need a notepad — instant, accurate, private to your browser. The How Much House Can I Afford? sits in that toolkit — it estimate your max home budget. 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

{let t=e.income,a=e.debt,n=e.r,r=e.n;return(t / 12 × .28-a) × (1-(1+n / 100 / 12)^(12 × -r)) / (n / 100 / 12)}

Where

income
Annual income ($)
debt
Monthly debts ($)
r
Mortgage rate (%)
n
Years
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Annual income ($) = 90000, Monthly debts ($) = 500, Mortgage rate (%) = 7, Years = 30.

  1. 01Start by noting the input — Annual income ($): 90000.
  2. 02Start by noting the input — Monthly debts ($): 500.
  3. 03Start by noting the input — Mortgage rate (%): 7.
  4. 04Start by noting the input — Years: 30.
  5. 05Substitute these values into the formula: {let t=e.income,a=e.debt,n=e.r,r=e.n;return(t / 12 × .28-a) × (1-(1+n / 100 / 12)^(12 × -r)) / (n / 100 / 12)}
  6. 06Compute Max home price: the calculator returns 240492.
  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 How Much House Can I Afford? 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

Annual income ($) halved

income = 45000 (from 90000)

Keep every other input at its default and halve the annual income ($). See how max home price responds.

  1. 01New Annual income ($): 45000
  2. 02Baseline Max home price: 240492
  3. 03New Max home price: 82669.2
  4. 04Max home price decreases by 65.6% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Annual income ($) doubled

income = 180000 (from 90000)

Keep every other input at its default and double the annual income ($). See how max home price responds.

  1. 01New Annual income ($): 180000
  2. 02Baseline Max home price: 240492
  3. 03New Max home price: 556138
  4. 04Max home price increases by 131.2% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Monthly debts ($) halved

debt = 250 (from 500)

Keep every other input at its default and halve the monthly debts ($). See how max home price responds.

  1. 01New Monthly debts ($): 250
  2. 02Baseline Max home price: 240492
  3. 03New Max home price: 278069
  4. 04Max home price increases by 15.6% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Monthly debts ($) doubled

debt = 1000 (from 500)

Keep every other input at its default and double the monthly debts ($). See how max home price responds.

  1. 01New Monthly debts ($): 1000
  2. 02Baseline Max home price: 240492
  3. 03New Max home price: 165338
  4. 04Max home price decreases by 31.2% → 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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