Purpose and steps
Base loan = price − down payment. Upfront MIP defaults to 1.75% of the base loan and may be financed. Monthly housing cost adds principal and interest, annual MIP / 12, tax, insurance, and HOA. The calculation runs locally and keeps cash-flow timing consistent with the stated assumptions.
- Confirm currency and monthly versus annual amounts. U.S. tax and loan models should be used within their stated scope.
- Prepare Home price, Down payment, Annual interest rate, Loan term, Annual property tax, Annual homeowners insurance, Monthly HOA dues, Closing costs, Finance upfront MIP, Annual MIP override (0 = automatic). Defaults demonstrate the model rather than your personal circumstances.
- Check the headline result and its components. A key interpretation for this tool is: Financing upfront MIP increases the balance and interest but lowers cash due at closing.
- Compare the baseline with a changed scenario: Use the override when the applicable HUD annual MIP tier differs from the simplified automatic rate.
Input reference and units
These values reproduce the model’s demonstration. Replace them with your own records or measurements; they are not recommended targets.
On a small screen, swipe the table horizontally to see all columns.
| Parameter | Demonstration value | How to enter it |
|---|---|---|
| Home price | 380000 USD | Use dollars and the monthly or annual period stated in the field label; do not enter thousands of dollars. |
| Down payment | 3.5 % | Check the unit carefully: some tools use a percentage and others a cash amount. |
| Annual interest rate | 6.75 % | Enter a percentage such as 6.5, not 0.065. The equation converts it to a decimal. |
| Loan term | 30 years | Use years here. The model converts to months when the payment schedule requires it. |
| Annual property tax | 4200 USD | Use dollars and the monthly or annual period stated in the field label; do not enter thousands of dollars. |
| Annual homeowners insurance | 1500 USD | Use dollars and the monthly or annual period stated in the field label; do not enter thousands of dollars. |
| Monthly HOA dues | 0 USD | Use dollars and the monthly or annual period stated in the field label; do not enter thousands of dollars. |
| Closing costs | 11400 USD | Use dollars and the monthly or annual period stated in the field label; do not enter thousands of dollars. |
| Finance upfront MIP | Yes | Use the definition shown in the field label; keep this assumption consistent when comparing scenarios. |
| Annual MIP override (0 = automatic) | 0 % | Enter a percentage such as 6.5, not 0.065. The equation converts it to a decimal. |
Model-specific method
How this calculator produces its result
Base loan = price − down payment. Upfront MIP defaults to 1.75% of the base loan and may be financed. Monthly housing cost adds principal and interest, annual MIP / 12, tax, insurance, and HOA.
Annuities and the remaining-balance recurrence
A fixed-payment loan is an annuity: the discounted value of all future payments equals the amount borrowed today. Summing that geometric series gives the monthly-payment equation. Match the rate and time unit: monthly payments use an annual nominal rate divided by twelve and a term counted in months.
Each payment is split into interest and principal. Interest uses the opening balance, so paying extra principal now reduces later interest. A zero rate must use P/n rather than the formula’s zero-over-zero form. Keep full precision during the schedule and round only for display; a lender may round each actual posting differently.
P = Σ[t=1…n] M/(1+r)^t M = Pr / (1 − (1+r)^−n) Iₜ = Bₜ₋₁r; Bₜ = Bₜ₋₁ + Iₜ − paymentₜ
- P: principal today
- r: rate per payment period, not the annual percentage
- n: number of payment periods
- M: scheduled payment; B: remaining balance
Worked example
A $380,000 home with 3.5% down has a $366,700 base loan. At 1.75%, upfront MIP is $6,417.25 before choosing whether to finance it.
Reproduce the default scenario
This is a separate example, calculated using the exact engine on the tool page and the defaults in the input reference above. Health examples use metric units. Displayed rounding may differ from intermediate precision.
- Estimated monthly FHA housing payment
- 3,063.1 USD
- Principal and interest
- 2,420.03 USD
- Monthly FHA MIP
- 168.07 USD
- Monthly property tax
- 350 USD
- Monthly homeowners insurance
- 125 USD
- Monthly HOA dues
- 0 USD
- Base loan amount
- 366,700 USD
- Upfront MIP
- 6,417.25 USD
- Total financed amount
- 373,117.25 USD
- Estimated cash to close
- 24,700 USD
- Applied annual MIP rate
- 0.55%
- Total loan interest
- 498,094.05 USD
Reading results without overstating them
- Financing upfront MIP increases the balance and interest but lowers cash due at closing.
- Use the override when the applicable HUD annual MIP tier differs from the simplified automatic rate.
Assumptions and exclusions
- The automatic annual MIP is a simplified common-case estimate based on term and LTV. HUD tiers also depend on loan amount, endorsement date, and program; duration, loan limits, lender fees, and eligibility are not determined.
Sources and content notes
Toolify describes the implemented algorithm and its assumptions. Sources below support the topic or applicable rules; they do not endorse this calculator. Examples are illustrative, and published rules take precedence over simplified estimates.
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