Calculate private mortgage insurance costs and when PMI drops off based on loan-to-value ratio, home value, and payment schedule.
Private mortgage insurance is a premium a conventional lender requires when your down payment is under 20 percent, and it protects the lender, not you. This calculator takes home value, down payment, interest rate, term, and a PMI rate, then returns your loan-to-value ratio, the monthly premium, and the month the balance first reaches each cancellation milestone. What most buyers misjudge is the timeline: with 10 percent down at 6 percent, reaching 80 percent loan-to-value takes about 89 months. Early payments are nearly all interest, so 20 percent equity arrives years later than intuition suggests.
A concrete input and expected output from the current implementation.
Input
Home value $300,000. Down payment $30,000 (10%). Term 30 years. Rate 6%. PMI rate 0.5% of the loan per year.
Expected output
Loan $270,000, loan-to-value 90%. Mortgage payment $1,618.79. PMI $112.50 a month ($1,350 a year). Balance first falls to 80% of value ($240,000) in month 89, about 7.4 years, the earliest cancellation point; automatic termination at 78% follows in month 103. Total PMI paid to month 89: $10,012.50.
With 10 percent down the loan starts at 90 percent loan-to-value, so the balance must shrink from $270,000 to $240,000 before the 80 percent mark is reached. Because early payments are mostly interest, that takes 89 months at 6 percent, and the flat $112.50 premium, priced off the original loan, accumulates to $10,012.50 along the way.
The tool subtracts the down payment from the home value to get the loan amount, then divides loan by value for the LTV. Above 80 percent it applies the PMI rate you enter - real quotes run about 0.5 to 2 percent of the loan per year, depending on the LTV band and credit score. The monthly premium is the annual rate times the original loan amount divided by 12, so it stays flat as the balance declines.
The tool amortizes the loan with the standard payment formula, then steps the balance forward month by month and flags the first month it hits each milestone: 80 percent of the original value, where the Homeowners Protection Act lets you request cancellation, and 78 percent, where the servicer must terminate automatically if payments are current. A shorter term, a lower rate, or extra principal payments all pull both dates forward.
80 percent is the threshold for requesting cancellation, not automatic removal. Under the Homeowners Protection Act you must ask - typically in writing - and your payments must be current; the servicer then has 45 days to drop the coverage. If you never request it, termination only becomes automatic at 78 percent of the original value.
Yes, on the request path: reach 80 percent loan-to-value ahead of schedule and you can request cancellation that much earlier, with the same current-payment condition, and the 78 percent automatic date moves up too. One caution - some servicers want the balance to hold at 80 percent and a written request on file, so time the payoff and the request together.
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