Private Mortgage Insurance Calculator
The formula
What the equity-rent tax tells you
PMI protects the lender while your equity is thin; monthly premium keyed to loan size and LTV band.
Calculation: Monthly PMI = loan × annual rate ÷ 12 until 78% LTV on schedule. Enter your inputs and every substitution is shown below the result.
Reading the result
At 90% LTV, PMI runs ~0.5–0.75% of the loan annually for the first years — then vanishes at 78% by law.
Rules of thumb: Homeowners Protection Act: cancel at 78%, request at 80%
Limitations and best practice
The cancellation law applies to the original schedule; appreciation lets you petition early with a new appraisal.
This calculator gives an estimate based on standard formulas; it is not professional financial, medical, legal or engineering advice. Verify anything you plan to act on with a qualified professional and your own records.
Frequently asked questions
Lender-paid vs borrower-paid?
Single-premium PMI?
Does paydown beat PMI?
Source & methodology
HPA 1998 cancellation rules.
How Private Mortgage Insurance works — and what your result really means
Nobody reads loan offers for pleasure — this page exists so you can check the lender’s arithmetic against your own. There are plenty of pages about Private Mortgage Insurance; almost none of them show the working. This one does: the formula, every input, a fully computed example, and a sensitivity analysis calculated live from this engine’s own defaults.
Property numbers are big, slow and full of embedded opinions — which makes a mechanical Private Mortgage Insurance genuinely valuable. Monthly PMI = loan × annual rate ÷ 12 until 78% LTV on schedule removes sentiment, and the result $331.96 speaks to whatever the market claims about Home Buying.
The useful way to hold Private Mortgage Insurance is as a ratio with a story attached: Monthly PMI = loan × annual rate ÷ 12 until 78% LTV on schedule says how the parts combine, and the $331.96 figure above is simply that sentence written in numbers. Everything that follows unpacks one clause of the sentence at a time.
Nothing below is stock text pasted around a number: the worked example computes PMI monthly cost = $331.96 from this tool’s own defaults, and the sensitivity section ranks the inputs that move the result — Loan amount first, at ≈10.0 % of the headline for a ten-percent error either way in that input. Work down the page and by the end you could re-derive the result in a spreadsheet from memory.
Inside the Private Mortgage Insurance calculation: formula and every input
One formula, published in full: Monthly PMI = loan × annual rate ÷ 12 until 78% LTV on schedule. Anything you can read, you can reproduce in a spreadsheet, and that reproducibility is the whole point of printing it rather than hiding it behind a button.
Loan amount ($) (example value 642,500) is a measured number in the unit named by the label; the formula does not convert for you. Use the figure exactly as the source document states it, not a rounded memory of it — an omitted line is the classic silent error.
Loan-to-value (%) (example value 125) is a numeric input whose unit is fixed by the label; a wrong unit is a wrong answer wearing a plausible disguise. Enter it exactly as your document states it — quoted annual, monthly and effective rates are three different numbers.
PMI annual rate (%) (example value 1) is a quantity rather than a category — precision here is cheap and worth having. Rates are the most mis-transcribed input on any page like this; copy it from the document rather than retyping from memory.
Auto-cancel point (%) (example value 78) is a quantity rather than a category — precision here is cheap and worth having. Enter it exactly as your document states it — quoted annual, monthly and effective rates are three different numbers.
The default Private Mortgage Insurance calculation, written out in full
Abstract formulas are hard to trust, so here is the complete substitution using the default inputs, written the way an examiner would want it. Starting figures: Loan amount ($), Loan-to-value (%), PMI annual rate (%), Auto-cancel point (%). The computed PMI monthly cost comes out at $331.96, which the interpretation band labels “It cancels at 78% LTV by schedule — about month 360 — unless appraisal-driven value does it sooner”.
- Monthly = $642,500 × 0.62% ÷ 12 = $332
- Balance hits $400,920 at month 360
- Total PMI ≈ $119,505
Annual PMI — $3,984. Compare it against the main result of $331.96 before drawing conclusions.
Months until auto-cancel — 360. This is the number experienced users quote when the headline alone would mislead.
Lifetime PMI paid — $119,505. Read next to the headline, this is the figure that shows the shape of the trade-off.
Value of +2% extra down — $14,938. Compare it against the main result of $331.96 before drawing conclusions.
Keep this worked example open while you enter your own figures: matching the shape of the substitution is the fastest way to spot a unit or convention mistake.
The Private Mortgage Insurance corridor: your result across a realistic band
The honest version of any estimate is a corridor, and this one is cheap to produce: Private Mortgage Insurance was recomputed at 5 points along the dominant input, with every other field left untouched.
| Loan amount setting | PMI monthly cost |
|---|---|
| 80 % of the example value | $265.57 |
| 90 % of the example value | $298.76 |
| example inputs | $331.96 |
| 110 % of the example value | $365.15 |
| 120 % of the example value | $398.35 |
Across 5 settings of Loan amount, the result spans $265.57 to $398.35. A decision that only works at one row of this table is a decision waiting for an input to move. Reproduce it in the form above by editing Loan amount alone; the substitution steps will follow your figures exactly.
Where Private Mortgage Insurance is fragile — and where it is not
Generic advice says “it depends on your inputs”; this section says exactly how much. Each field was perturbed by ±10 % in isolation and the PMI monthly cost recomputed, so the ranking below is measured rather than asserted. It is the fastest honest answer to “what matters most in Private Mortgage Insurance?” — and it is specific to these defaults, because sensitivity moves with the starting point.
- Nudge Loan amount by ±10 % and Private Mortgage Insurance lands between $298.76 and $365.15 (sensitivity ≈10.0 %)
- PMI annual rate +10 % → Private Mortgage Insurance = $365.15 · −10 % → $298.76 (the PMI monthly cost shifts ≈10.0 %)
Loan amount is the dominant lever here: ten percent either way moves the result by about 10.0 %, from $298.76 to $365.15. Spend your verification effort there first, and PMI annual rate is effectively tied with it (≈10.0 % for the same nudge), so verify the pair together. The rest of the inputs earn only a rounding-error of attention, and that asymmetry is the practical payoff of measuring rather than asserting.
Interpreting the Private Mortgage Insurance verdict
The value above only becomes useful the moment you know what it is being measured against. The default case lands in the “It cancels at 78% LTV by schedule — about month 360 — unless appraisal-driven value does it sooner” band, and bands are deliberately wide because real situations overlap. Before treating the band as fact, note its width: ten percent either way on Loan amount already spans $298.76 to $365.15. The practical reading rules: read the band as a starting hypothesis, then test it: change the two dominant inputs by ten percent and see whether the verdict survives. Verdicts that survive stress are the ones worth acting on.
Where Private Mortgage Insurance sits next to similar measures: this tool answers “how much is the Private Mortgage Insurance”, while the related calculators answer “what do I do about it”. Reading the result alone tends to over-weight a single snapshot; pairing it with the companion tools above turns the number into a decision.
Why Private Mortgage Insurance results go wrong — and how to prevent it
The cancellation law applies to the original schedule; appreciation lets you petition early with a new appraisal. This calculator gives an estimate based on standard formulas; it is not professional financial, medical, legal or engineering advice. Verify anything you plan to act on with a qualified professional and your own records.
Reporting the headline and quietly discarding Annual PMI. The companions are where the shape of the trade-off survives the rounding.
Attention is also misallocated between fields. Having measured this engine, we can say where it belongs: Loan amount first, everything else second.
The subtlest error is answering the wrong question precisely. Confirm that PMI monthly cost is actually the quantity your decision needs — the arithmetic is flawless either way, which is what makes the mistake invisible.
A quick check for any Private Mortgage Insurance figure
- Verify each input against its original source document, not memory.
- Check that every field the formula needs actually arrived from a document, not from recollection.
- Check Loan amount before anything else: it is the measured dominant input, ≈10.0 % of Private Mortgage Insurance per ten percent.
- Recompute once with the dominant input deliberately set low, and see whether the decision changes.
- Compare the result with one independent method or published benchmark.
- Repeat the ±10 % test on the inputs that matter and see whether the decision — not just the number — still holds.
A routine for decision-grade Private Mortgage Insurance
Using a calculator well sounds trivial, but the difference between a decision-grade figure and a throwaway one lives entirely in the routine. The routine for Private Mortgage Insurance takes a minute to learn and applies to every input above.
Step 1 — start from evidence. The inputs behind Private Mortgage Insurance are loan amount ($), loan-to-value (%), pmi annual rate (%), auto-cancel point (%). Write them down with their source next to each one; if you cannot name where a figure came from, that is the input most likely to be wrong. One decimal place more than your data supports is one decimal place of fiction.
Step 2 — start from the case you can defend. Enter pessimistic-but-honest figures first; the optimistic run is a ceiling, not a plan. A conclusion that holds on conservative inputs holds everywhere. Estimates improve most when the worst case is written down in ink.
Step 3 — play with the inputs on purpose. Ten percent up, ten percent down, one field at a time. Within a few minutes you will know this calculation better than most people who quote its results. A calculation you cannot explain to somebody else is a calculation you cannot defend.
Step 4 — ask what would have to be true. Take the result you want and work backwards through the inputs until you find the assumption that produces it; then decide honestly whether that assumption is defensible. Most surprises in numbers are surprises about inputs, not about formulas.
Step 5 — schedule the next run. In Real Estate & Property the inputs drift quietly. Put a reminder a quarter out, re-enter the same fields, and read the change rather than the level. The inputs are the part of the work that nobody else can do for you.
From calculation to decision: where Private Mortgage Insurance earns its keep
Most Home Buying disagreements are arithmetic disagreements in disguise. When PMI monthly cost of $331.96 sits on the table with its working shown, the conversation stops being about who sounds more confident and starts being about which input is wrong. A figure with a date beside it becomes evidence; without one it stays an anecdote.
Professionals in Home Buying use this style of calculation as a screening filter before spending real money or effort: a quick Private Mortgage Insurance check eliminates weak options in minutes, and the survivors earn the deeper, slower analysis. If a result feels obviously right, that is the moment to check the inputs hardest.
Nothing here is stored or transmitted, so the habit of checking is free: open the page, re-enter current figures, compare with the number you saved last time. Numbers are cheap to produce and expensive to retract; the extra minute is the cheapest insurance available.
The questions that come up most about Private Mortgage Insurance
What affects Private Mortgage Insurance the most?
Private Mortgage Insurance is driven above all by Loan amount. Perturbing only that field by ten percent either way produced $365.15 against the $331.96 baseline — a ≈10.0 % response, while PMI annual rate manages ≈10.0 %.
Do pmi annual rate and loan amount matter equally?
Private Mortgage Insurance here is co-driven: Loan amount and PMI annual rate produced ≈10.0 % and ≈10.0 % responses, which is a tie for practical purposes. Everything below those two is a rounding error by comparison.
What is a typical Private Mortgage Insurance?
There is no honest universal average for Private Mortgage Insurance, but there is a reference point: the defaults on this page produce $331.96 (It cancels at 78% LTV by schedule — about month 360 — unless appraisal-driven value does it sooner). Replace the inputs with your own and compare — that comparison is the useful meaning of “typical”.
How do I calculate Private Mortgage Insurance by hand?
Monthly PMI = loan × annual rate ÷ 12 until 78% LTV on schedule is the entire method. Work the inputs in that order — Monthly = $642,500 × 0.62% ÷ 12 = $332 — and you will reach $331.96 on the default figures, the same number this tool prints.
What happens to Private Mortgage Insurance if loan amount changes by 10 %?
Try it in the form above and the printed substitution will follow you; the pre-computed answer for the defaults is $298.76 to $365.15 across the ten-percent probe, i.e. ≈10.0 % sensitivity on the PMI monthly cost.
Is the Private Mortgage Insurance result of $331.96 good or bad?
The tool answers “what”, not “whether”: $331.96 carries the verdict “It cancels at 78% LTV by schedule — about month 360 — unless appraisal-driven value does it sooner” for the default case, which is a starting interpretation rather than a verdict on your situation. Re-run with your own figures and compare the bands.
Is Private Mortgage Insurance accurate?
The arithmetic is exact: Monthly PMI = loan × annual rate ÷ 12 until 78% LTV on schedule is evaluated with full floating-point precision and every substitution is printed in the worked example. What limits accuracy is input quality and the model’s assumptions, so treat the $331.96 result as the correct answer to the question you typed — and check the assumptions section before acting on it.
Which costs are missing from Private Mortgage Insurance?
Vacancy, management, capital reserves and closing amortisation are the usual absentees. The tool computes what you feed it; adding those into the expense side moves the number from marketing to operations.
Lender-paid vs borrower-paid?
Lender-paid embeds it in the rate — run both against your hold period; longer favors borrower-paid at 20% down.
Single-premium PMI?
Older loans can have large upfront with no monthly — it still cancels at 78% and refunds pro rata.
Is my data private on this page?
Yes — computation happens locally in your browser, with no account, no tracking of your inputs and nothing sent to a server. The printed formula is the whole story of what happens to your figures.
Glossary for Private Mortgage Insurance
- Annual PMI
- $3,984 in the default Private Mortgage Insurance calculation — one of the secondary figures an experienced reader checks before trusting the primary number.
- Months until auto-cancel
- 360 in the default Private Mortgage Insurance calculation — one of the secondary figures an experienced reader checks before trusting the primary number.
- Lifetime PMI paid
- $119,505 for the Private Mortgage Insurance worked case; it sits next to the main result because it carries context the headline leaves out.
- PMI monthly cost
- The primary output of this tool: $331.96 for the default inputs, computed exactly from Monthly PMI = loan × annual rate ÷ 12 until 78% LTV on schedule.
- Worked example
- Every substitution in order, from the example inputs to $331.96 — the audit trail for the headline figure.
- Verdict band
- A named zone on the range of plausible results; the example inputs land in “It cancels at 78% LTV by schedule — about month 360 — unless appraisal-driven value does it sooner”, and your inputs may not.
- Sensitivity (±10 %)
- How far the Private Mortgage Insurance moves when a single input is nudged ten percent either way; the ranked list on this page is computed live from this engine.
Method, sources and what this tool cannot tell you
There is no black box on this page — the engine evaluates Monthly PMI = loan × annual rate ÷ 12 until 78% LTV on schedule. Source of record: HPA 1998 cancellation rules. Where a professional version of this calculation differs, it differs in inputs and jurisdiction-specific coefficients, not in the algebra — which is why re-checking your inputs beats hunting for a second calculator.
Nothing here replaces a qualified professional, and nothing here is approximate either — the arithmetic is exact, and the honesty is in the inputs you supply. The sensitivity table above is part of that promise rather than a bonus: it lets you see how much of the result depends on how carefully you measured.
Next steps after the calculation
Before signing, reconcile the computed figure with the lender’s quote line by line; any gap is the fine print, and it is cheaper to find it now than after closing.
The audience here is borrowers weighing a quoted offer against the alternatives. Everything you need to defend the result — formula, substitution, sensitivity, source — is printed above, so the only remaining variable is the honesty of your inputs.