A PMI calculation example estimates private mortgage insurance from a home price, down payment, and annual PMI rate. For a $300,000 home with 10% down and an assumed 0.5% annual PMI rate, the estimate is $112.50 per month; enter your own figures below to calculate an estimate.
Formula
The calculator estimates monthly PMI as the mortgage amount multiplied by the assumed annual PMI rate, then divided by 12:
Monthly PMI = (Home price − Down payment) × Annual PMI rate ÷ 1,200
- Home price is the purchase price in dollars.
- Down payment is the amount paid upfront in dollars.
- Mortgage amount is home price minus down payment, in dollars.
- Annual PMI rate is entered as a percentage, such as 0.5 for 0.5% per year.
- Monthly PMI is the estimated monthly insurance cost in dollars.
The expression includes a check that prevents a down payment larger than the home price from producing a plausible-looking negative mortgage amount. The rate is an input, not a quote: actual mortgage-insurance pricing depends on the loan and insurer’s specific terms.
Worked Example
Using the calculator’s default values—home price of $300,000, down payment of $30,000, and annual PMI rate of 0.5%—the steps are:
- Calculate the mortgage amount: $300,000 − $30,000 = $270,000.
- Convert the annual rate to a decimal: 0.5% = 0.005.
- Calculate annual PMI: $270,000 × 0.005 = $1,350.
- Divide by 12 for a monthly estimate: $1,350 ÷ 12 = $112.50 per month.
The calculator also reports the $270,000 mortgage amount and $1,350 estimated annual PMI. These figures use the same assumed rate and do not include principal, interest, property taxes, homeowners insurance, or other charges.
What PMI Is and When It Applies
Private mortgage insurance, commonly shortened to PMI, is generally associated with some conventional mortgages when the borrower makes a relatively small down payment. It protects the lender against certain losses if the borrower does not repay the loan; it is not homeowners insurance and does not reimburse the borrower for damage to the home.
PMI is not a universal charge on every mortgage. Whether a loan requires it, how it is priced, and how it is billed depend on the loan structure and applicable contract terms. The calculator estimates a dollar amount from a rate you supply; it cannot determine whether a particular loan requires mortgage insurance.
A common misconception is that a down payment percentage alone determines the exact monthly PMI. It does not. The percentage helps establish the loan amount, but the insurer’s rate and the lender’s billing method also matter. Ask the lender for the actual quoted PMI amount and whether it is collected monthly or handled another way.
How to Choose Inputs and Read the Result
- Home price: Enter the purchase price used in the lender’s loan estimate.
- Down payment: Enter the cash applied to the price. Do not include closing costs unless they are actually part of the down payment in the loan calculation.
- Annual PMI rate: Use a rate supplied for the specific loan, if available. The default 0.5% is only an illustration and is not a claim about a current or typical rate.
The monthly result is a simplified estimate: it assumes the annual rate applies to the full initial mortgage balance and is divided evenly over 12 months. Some mortgage-insurance pricing or payment arrangements may not follow that simplified method. If the lender gives a monthly PMI amount directly, that figure is more relevant than a calculation based on an assumed rate.
For example, keeping the same $270,000 mortgage but changing the assumed annual rate to 0.3% gives $67.50 per month. At 0.8%, it gives $180 per month. These are arithmetic illustrations, not market quotes; the rate difference changes the result even though the home price and down payment stay the same.
Limits, Costs, and Common Mistakes
This estimate isolates PMI; it is not a full mortgage payment calculator. A mortgage payment may also include principal and interest, and the amount due each month can include taxes, homeowners insurance, association charges, or escrow deposits. Those costs are not calculated here.
- Confusing percent with decimal: Enter 0.5 for 0.5%, not 0.005. The formula converts the percent by dividing by 1,200.
- Using the wrong balance: The example uses the initial mortgage amount. If insurance is recalculated using a changing balance, a one-time estimate will not show that schedule.
- Treating the default rate as a quote: Replace it with the rate or payment stated by the lender or insurer.
- Mixing PMI with other insurance: PMI is distinct from homeowners insurance and other mortgage-related costs.
The calculation also assumes a positive mortgage amount. If the down payment equals the home price, there is no mortgage balance to which this simplified PMI formula can be applied. The calculator rejects a down payment above the price rather than showing a negative balance.
Frequently Asked Questions
How do I calculate PMI per month?
Subtract the down payment from the home price, multiply the resulting mortgage amount by the annual PMI rate as a decimal, and divide by 12. For $270,000 at 0.5%, the estimate is $112.50 monthly.
Is the 0.5% PMI rate in this example typical?
No typical or current rate is asserted here. The 0.5% value is a neutral example input. Use the rate quoted for the specific loan to estimate its cost.
Does PMI go toward paying down my mortgage?
No. In this calculation, PMI is a separate insurance cost. It is not added to the principal repayment and does not reduce the amount borrowed.
Does this estimate include taxes and homeowners insurance?
No. It estimates PMI only. Property taxes, homeowners insurance, mortgage principal and interest, and other charges require separate figures.
Will my actual PMI bill match this result?
Not necessarily. This simplified calculation uses one annual rate and the initial mortgage amount. The lender’s quote and loan documents determine the actual amount and billing details.
This result is an estimate for education, and the lender’s disclosure gives the exact figures.
Related
Formula used
in price | Home purchase price | $ | 300000 | 1 | 100000000 in down | Down payment | $ | 30000 | 0 | 100000000 in rate | Annual PMI rate | % | 0.5 | 0.01 | 10 out pmi | Estimated monthly PMI | $ | (price - down) * rate / 1200 + 0 * sqrt(price - down) | 2 out loan | Mortgage amount after down payment | $ | price - down | 2 out annual | Estimated annual PMI | $ | pmi * 12 | 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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