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01 Loan payments

PMI Calculation Method: Estimate Your Monthly Cost

Calculator No. 01-10494 · Updated · Formula and assumptions shown below

The calculator on this page is switched off while it is checked. The formula is below, and the worked example shows how to do the sum by hand.

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

The PMI calculation method estimates private mortgage insurance (PMI) from the mortgage amount and an assumed annual PMI rate. Enter the loan amount, down payment, and estimated PMI rate to calculate the approximate monthly premium and the loan-to-value ratio (LTV); the actual charge depends on the lender’s quote and loan details.

Formula

This calculator estimates PMI using a simplified annual-rate method. First, subtract the down payment from the purchase price to estimate the mortgage principal. Then multiply that loan amount by the assumed annual PMI rate and divide by 12:

Estimated monthly PMI = (purchase price − down payment) × annual PMI rate ÷ 1,200

  • Purchase price is the home price entered, in dollars.
  • Down payment is the amount paid toward the price, in dollars.
  • Estimated annual PMI rate is an input percentage. The calculator divides it by 100 to convert it to a decimal and by 12 to estimate a monthly amount.
  • Loan-to-value ratio (LTV) is estimated loan principal divided by purchase price, multiplied by 100.

The calculation is deliberately an estimate: PMI prices are not set by one universal rate. A lender or insurer may use a quote based on loan and borrower information, and the quoted premium may be structured differently. Use the actual quoted annual rate in the calculator when available.

Worked Example

Using the calculator’s default values: a $300,000 purchase price, $60,000 down payment, and an assumed annual PMI rate of 0.5%:

  1. Estimated mortgage principal: $300,000 − $60,000 = $240,000.
  2. Convert the annual percentage to a monthly decimal rate: 0.5 ÷ 1,200 = 0.0004166667.
  3. Multiply: $240,000 × 0.0004166667 = $100.00 estimated PMI per month.
  4. Calculate LTV: ($240,000 ÷ $300,000) × 100 = 80.00%.

The output is an estimated insurance charge only. It is not the full mortgage payment and does not include principal, interest, property taxes, homeowners insurance, or other housing costs.

What PMI Is and When It Applies

Private mortgage insurance is generally associated with certain conventional mortgages when the borrower’s equity is below a lender’s required threshold. It protects the lender against some losses if the borrower does not repay the loan; it does not insure the borrower’s home or guarantee that the borrower can make payments. Whether PMI applies, how it is priced, and how it is handled depend on the loan and its terms.

PMI is distinct from other mortgage-related insurance or charges. For example, a mortgage may have a different insurance arrangement depending on its type. Do not assume that a PMI estimate applies to every mortgage. Check the loan estimate or other lender disclosure to identify the specific charge included in a proposed payment.

How to Use the Estimate

  • Enter the home purchase price, rather than the total amount of interest expected over the loan.
  • Enter the cash down payment. If the loan includes costs or other financed amounts, the actual principal may differ from purchase price minus down payment.
  • Enter the annual PMI rate from a lender or insurer quote if one is available. Otherwise, the default is only a sample input, not a market quote.
  • Read the monthly PMI estimate alongside the LTV result. LTV is a ratio, not a premium or a guarantee of eligibility.

For instance, if the quoted annual rate were 0.7% on the same estimated $240,000 principal, the monthly estimate would be $240,000 × 0.7 ÷ 1,200, or $140.00. That example shows how sensitive the result is to the rate entered; it does not establish that 0.7% is typical or available.

What Can Change the Actual PMI Charge

The simplified method assumes one annual percentage applied to the estimated loan principal and spread evenly over 12 months. An actual quote can depend on details the calculator does not ask for, such as the lender’s pricing method, loan characteristics, borrower information, and the precise amount financed. The premium may also be collected in a way that is not equivalent to one level monthly charge.

The calculator uses purchase price as the value for LTV. A lender may use a different value or calculation under the loan’s terms. It also treats the down payment as the only reduction to price, so financed costs or other adjustments can make the actual loan balance different. The result should therefore be used for arithmetic illustration, not as a substitute for a quote.

Common Calculation Mistakes and Limits

  • Entering a whole-number percentage incorrectly: enter 0.5 for one-half of one percent, not 0.005. The formula performs the percentage conversion.
  • Using the wrong amount: PMI is estimated here against loan principal, not the down payment or purchase price alone.
  • Confusing monthly and annual amounts: the output is monthly because the annual rate is divided by 12. Multiplying the monthly estimate by 12 gives a simple annualized estimate, not necessarily the billed amount.
  • Treating LTV as a PMI quote: LTV is a percentage of the purchase price in this model; it does not reveal a premium by itself.
  • Expecting a cancellation date: this calculator has no loan term, balance schedule, or contract terms, so it cannot determine when PMI may change or end.

Rounding the monthly output to cents can cause a small difference from multiplying a displayed rounded amount over many months. The formula also does not calculate mortgage principal and interest, tax or insurance escrow, lender fees, or changes in the balance over time.

Frequently Asked Questions

How do you calculate PMI per month?
For this estimate, multiply the mortgage principal by the annual PMI rate as a decimal, then divide by 12. If the rate is entered as a percentage, the equivalent calculation is principal × rate ÷ 1,200.

Is PMI calculated on the home price or the loan amount?
This simplified method applies the rate to estimated loan principal: purchase price minus down payment. The lender’s actual method and loan balance may differ.

Does 20% down always mean there is no PMI?
This calculator does not determine whether PMI applies. Down payment, LTV, mortgage type, and specific loan terms can matter; confirm the insurance requirement with the lender.

Can this calculator tell me when PMI will end?
No. It estimates one monthly amount and does not model payments, changing balances, or the terms governing the insurance. Ask the lender or loan servicer how the charge is handled for the specific loan.

Why is my lender’s PMI quote different?
The calculator uses only principal and an assumed annual rate. A quote may reflect additional loan details, a different valuation or balance, and a different premium structure.

This result is an estimate for education, and the lender’s disclosure gives the exact figures.

Related

Formula used
in loan | Home purchase price | $ | 300000 | 1 | 100000000
in down | Down payment | $ | 60000 | 0 | 99999999
in rate | Estimated annual PMI rate | % | 0.5 | 0.01 | 10
out pmi | Estimated monthly PMI | $ | (loan - down) * rate / 1200 + 0 * sqrt(loan - down) | 2
out ltv | Loan-to-value ratio | % | (loan - down) / loan * 100 | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.

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