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PMI Calculator

Annual PMI premium estimate. Free online PMI Calculator. Calculate pmi online — fast, accurate, mobile-friendly, no signup needed.

Annual PMI
$1,600.00
Monthly
$133.33

Derivation

  1. ├── 01Givenloan = 320000, rate = 0.5
  2. ├── 02FormulaAnnual PMI: e.loan × e.rate / 100
  3. ├── 03Substitutee.320000 × e.0.5 / 100
  4. ├── 04Compute Annual PMI$1,600.00
  5. ├── 05FormulaMonthly: e.loan × e.rate / 100 / 12
  6. ├── 06Substitutee.320000 × e.0.5 / 100 / 12
  7. └── 07Compute Monthly$133.33
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§01What is

Understanding the PMI Calculator

The PMI Calculator computes Annual PMI from 2 inputs: loan ($), pmi rate (%). Annual PMI premium estimate.

Quick calculators for the math that shouldn’t need a notepad — instant, accurate, private to your browser. The PMI Calculator sits in that toolkit — it annual PMI premium estimate. 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

Annual PMI = e.loan × e.rate / 100 | Monthly = e.loan × e.rate / 100 / 12

Where

loan
Loan ($)
rate
PMI rate (%)
Annual PMI
Output value
Monthly
Output value
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Loan ($) = 320000, PMI rate (%) = 0.5.

  1. 01Start by noting the input — Loan ($): 320000.
  2. 02Start by noting the input — PMI rate (%): 0.5.
  3. 03Substitute these values into the formula: Annual PMI = e.loan × e.rate / 100 | Monthly = e.loan × e.rate / 100 / 12
  4. 04Compute Annual PMI: the calculator returns 1600.
  5. 05Compute Monthly: the calculator returns 133.333.
  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 PMI 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

Loan ($) halved

loan = 160000 (from 320000)

Keep every other input at its default and halve the loan ($). See how annual pmi responds.

  1. 01New Loan ($): 160000
  2. 02Baseline Annual PMI: 1600
  3. 03New Annual PMI: 800
  4. 04Annual PMI decreases by 50% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Loan ($) doubled

loan = 640000 (from 320000)

Keep every other input at its default and double the loan ($). See how annual pmi responds.

  1. 01New Loan ($): 640000
  2. 02Baseline Annual PMI: 1600
  3. 03New Annual PMI: 3200
  4. 04Annual PMI increases by 100% → use this sensitivity to plan for real-world variation.
03 · PATTERN

PMI rate (%) halved

rate = 0.25 (from 0.5)

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

  1. 01New PMI rate (%): 0.25
  2. 02Baseline Annual PMI: 1600
  3. 03New Annual PMI: 800
  4. 04Annual PMI decreases by 50% → use this sensitivity to plan for real-world variation.
04 · PATTERN

PMI rate (%) doubled

rate = 1 (from 0.5)

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

  1. 01New PMI rate (%): 1
  2. 02Baseline Annual PMI: 1600
  3. 03New Annual PMI: 3200
  4. 04Annual PMI increases by 100% → 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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