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How Much Loan Can I Afford?

Determine your maximum loan amount. Free online How Much Loan Can I Afford? for financial — instant, accurate results, mobile-friendly, no signup needed.

Monthly payment = P·r/(1 − (1+r)^−n).
Max loan
$15,517.67

Derivation

  1. ├── 01Givenpay = 300, r = 6, n = 5
  2. ├── 02Formulat × (1-(1+a / 100 / 12)^(12 × -n)) / (a / 100 / 12)
  3. ├── 03Substitutet × (1-(1+a / 100 / 12)^(12 × -5)) / (a / 100 / 12)
  4. └── 04Compute Max loan$15,517.67
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§01What is

Understanding the How Much Loan Can I Afford?

The How Much Loan Can I Afford? computes Max loan from 3 inputs: monthly payment ($), rate (%), years. Determine your maximum loan amount.

Quick calculators for the math that shouldn’t need a notepad — instant, accurate, private to your browser. The How Much Loan Can I Afford? sits in that toolkit — it determine your maximum loan amount. 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

t × (1-(1+a / 100 / 12)^(12 × -n)) / (a / 100 / 12)

Where

pay
Monthly payment ($)
r
Rate (%)
n
Years
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Monthly payment ($) = 300, Rate (%) = 6, Years = 5.

  1. 01Start by noting the input — Monthly payment ($): 300.
  2. 02Start by noting the input — Rate (%): 6.
  3. 03Start by noting the input — Years: 5.
  4. 04Substitute these values into the formula: t × (1-(1+a / 100 / 12)^(12 × -n)) / (a / 100 / 12)
  5. 05Compute Max loan: the calculator returns 15517.7.
  6. 06Cross-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 Loan 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

Monthly payment ($) halved

pay = 150 (from 300)

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

  1. 01New Monthly payment ($): 150
  2. 02Baseline Max loan: 15517.7
  3. 03New Max loan: 7758.83
  4. 04Max loan decreases by 50% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Monthly payment ($) doubled

pay = 600 (from 300)

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

  1. 01New Monthly payment ($): 600
  2. 02Baseline Max loan: 15517.7
  3. 03New Max loan: 31035.3
  4. 04Max loan 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 max loan responds.

  1. 01New Rate (%): 3
  2. 02Baseline Max loan: 15517.7
  3. 03New Max loan: 16695.7
  4. 04Max loan increases by 7.6% → 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 max loan responds.

  1. 01New Rate (%): 12
  2. 02Baseline Max loan: 15517.7
  3. 03New Max loan: 13486.5
  4. 04Max loan decreases by 13.1% → 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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