Loan & Mortgage Calculator - Monthly Payment & PITI
Use this Loan and Mortgage Calculator to estimate principal, interest, escrow, PMI, and total scheduled costs for home, auto, personal, and student financing.
Loan & Mortgage Calculator
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What Is Loan & Mortgage Calculator?
A Loan and Mortgage Calculator estimates the monthly cost of fixed-rate borrowing by separating principal and interest from mortgage-only taxes, homeowners insurance, and an optional PMI assumption. Use it before comparing offers, setting a home budget, checking an auto or personal loan, or explaining how a down payment changes the amount financed.
- • Home purchase planning: Enter a purchase amount, down payment, rate, term, taxes, and insurance to estimate an all-in monthly housing payment rather than looking at principal and interest alone.
- • Auto and personal loan comparisons: Switch the loan type and compare amount, rate, and term combinations. Mortgage-only tax, insurance, PMI, and LTV fields are excluded from those loan types.
- • Down payment decisions: Test a larger or smaller upfront contribution and watch financed principal, LTV, estimated PMI, monthly payment, and total interest change together.
- • Long-term cost checks: Compare total interest and total scheduled payments across 15-, 20-, and 30-year terms before deciding whether a lower monthly payment justifies a longer repayment period.
Use the result as a comparison model, not as an approval decision or lender quote. A real offer may include APR, points, closing costs, changing escrow bills, or a different payment schedule. Check which assumptions apply to your loan.
If you want a home-focused PITI comparison with additional housing assumptions, use the mortgage calculator with taxes and insurance for a more specialized scenario.
How Loan & Mortgage Calculator Works
The calculator first applies the standard fixed-payment amortization formula to financed principal. It then adds mortgage-only monthly escrow and PMI estimates, while total interest remains based on principal and interest over the scheduled term.
- P: Financed principal: purchase amount minus down payment for a mortgage, or the entered loan amount for other types.
- r: Monthly decimal rate: annual interest rate divided by 100 and then by 12.
- n: Scheduled payment count: loan term in years multiplied by 12.
- T and I: Annual mortgage property tax and insurance assumptions, each divided by 12.
- PMI: Annual PMI rate applied to mortgage principal and divided by 12 only when LTV is above 80%.
At 0% interest, the formula has a separate branch: principal is divided evenly across the scheduled payment count and total interest is zero. At a positive rate, interest is calculated from the rate and term, so a longer term usually reduces the monthly principal-and-interest amount while increasing cumulative interest. Property tax, insurance, and PMI are not included in total interest.
The LTV output is principal divided by the purchase amount. An LTV above 80% turns on the entered PMI estimate in this model. That switch is a transparent assumption, not a claim about a particular lender's premium or cancellation schedule.
Example: $200,000 purchase with $40,000 down
Purchase amount = $200,000, down payment = $40,000, annual rate = 4.50%, term = 30 years, annual tax = $5,000, annual insurance = $1,200, and PMI rate = 0.50%.
Financed principal is $200,000 − $40,000 = $160,000. The monthly rate is 0.045 ÷ 12 = 0.00375 and n = 360. The amortization formula gives $810.70 for principal and interest. Tax escrow is $5,000 ÷ 12 = $416.67 and insurance escrow is $1,200 ÷ 12 = $100.00. LTV is 80%, so the model adds no PMI.
Estimated monthly payment = $1,327.36; total interest = $131,850.74; total scheduled payment including the modeled escrow = $477,850.74.
The $810.70 debt-service figure is the loan payment. The remaining $516.67 is an escrow estimate, not additional principal or interest. Compare the total rather than using principal and interest alone when budgeting for a home.
According to OpenStax Principles of Finance, an amortizing loan uses equal periodic payments calculated with the annuity formula, while each payment allocates money between interest and principal.
To inspect how each payment changes the remaining balance over time, open the mortgage amortization calculator for a schedule-focused view.
Key Concepts Explained
Four concepts explain why the headline payment is only one part of a borrowing decision. Read the component outputs together before comparing two loans.
Financed principal
Principal is the amount the payment formula must repay. For a mortgage, subtracting the down payment lowers the starting balance, the interest charged over time, and often the LTV. For other loan types, the calculator uses the entered loan amount because the down payment field is mortgage-only.
Amortization
An amortizing payment contains interest for the current period and a principal portion that reduces the balance. Early payments on a positive-rate loan generally contain more interest because the balance is largest then; later payments apply more of the same debt-service amount to principal.
PITI and escrow
PITI means principal, interest, taxes, and insurance. This calculator shows tax and insurance as one-twelfth of annual estimates so a homebuyer can budget beyond the loan payment, but actual escrow collections can change after an annual analysis.
Interest rate versus APR
The nominal interest rate drives the amortization formula here. APR is a broader cost measure that can include interest plus certain lender charges, so use the rate and fee assumptions stated in the offer when comparing this estimate with a disclosure.
A payment comparison is meaningful only when amount, rate, term, and cost assumptions are held in view. A 15-year loan can have a higher monthly payment but less cumulative interest than a 30-year loan. Do not treat escrow as principal reduction: taxes and insurance pay separate bills and may change after an annual review.
According to Consumer Financial Protection Bureau, APR reflects the mortgage interest rate plus other charges, so it is broader than the note rate used for the payment formula.
For a simpler principal-and-interest comparison without mortgage escrow assumptions, try the loan payment calculator.
How to Use This Calculator
Start with the terms in the offer or your planned purchase, then change one assumption at a time so the cause of a payment change is clear. The Loan and Mortgage Calculator also supports quick loan comparisons.
- 1 Choose the loan type: Select Mortgage for a home purchase with escrow and PMI assumptions, or choose Personal Loan, Auto Loan, or Student Loan for principal-and-interest modeling without mortgage-only additions.
- 2 Enter the amount and down payment: For a mortgage, enter the purchase amount and cash down payment. For another loan type, enter the amount borrowed; the down payment field is retained for a consistent interface but is not used.
- 3 Add rate and term: Enter the annual nominal interest rate and repayment term. Use the note rate rather than APR because fees are not modeled in the formula.
- 4 Add mortgage costs: For a mortgage, enter annual property tax and homeowners insurance estimates. If LTV is above 80%, enter the annual PMI rate assumption from your quote or leave the default as a scenario.
- 5 Review the breakdown: Compare the monthly total with principal and interest, tax, insurance, and PMI. Then check LTV, total interest, and total scheduled payment before changing the term or down payment.
A buyer comparing a $350,000 home with $70,000 down at 6.25% for 30 years can add $4,200 of annual tax and $1,400 of insurance. The model reports $1,724.01 of principal and interest, $466.67 of escrow, no PMI at 80% LTV, and about $2,190.67 per month.
When your scenario is only a standard home loan, the mortgage calculator provides a focused mortgage payment workflow.
Benefits of Using This Calculator
A component-level estimate supports decisions that a single monthly number cannot. Keep the assumptions beside the outputs when you compare scenarios.
- • Budget the complete mortgage payment: The total includes modeled tax, insurance, and PMI alongside principal and interest, so a home budget is not anchored to the debt-service figure alone.
- • Compare terms by lifetime cost: Total interest and total scheduled payment show the cost of extending a loan beyond the monthly payment shown in an advertisement.
- • Test down payment tradeoffs: Changing the down payment changes financed principal and LTV, making it easier to weigh cash kept in reserves against lower payment and PMI exposure.
- • Separate loan types: The selector prevents mortgage-only tax, insurance, and PMI assumptions from inflating a personal, auto, or student loan scenario.
- • Prepare lender questions: Use the breakdown to ask whether a quoted payment includes escrow, PMI, points, fees, or a different rate convention before accepting an offer.
Use the Loan and Mortgage Calculator to compare rates, terms, and escrow assumptions one variable at a time.
If you are deciding whether extra principal could change the payoff timeline, compare the result with the mortgage payoff calculator.
Factors That Affect Your Results
Payment results depend on the contract terms and on costs that sit outside the amortization formula. These factors deserve a separate check before you use the estimate in a budget.
Interest rate
A higher nominal rate increases the periodic interest charge and usually increases both the monthly principal-and-interest amount and total interest for the same principal and term.
Loan term
Adding payment periods can lower the required monthly debt-service amount, but the balance remains outstanding longer and cumulative interest can rise.
Down payment and LTV
A larger mortgage down payment lowers principal and LTV. When modeled LTV falls to 80% or below, the calculator turns off its estimated PMI component.
Local taxes and insurance
Property tax assessments and homeowners insurance premiums vary by location and property. Their annual estimates are divided by twelve here, so the all-in payment changes when those estimates change.
- • This model assumes a fixed nominal rate and regular monthly payments. Adjustable-rate loans, interest-only periods, balloon payments, biweekly schedules, and irregular fees need a product-specific model.
- • PMI is an estimate based on the entered annual rate and an 80% LTV trigger. Actual premiums, lender rules, FHA mortgage insurance, cancellation timing, and escrow cushions vary by loan and borrower.
- • Total scheduled payment treats annual tax, insurance, PMI, and the monthly estimate as constant for the full term. It does not include closing costs, HOA dues, maintenance, points, lender fees, or future bill changes.
For a home purchase, request a Loan Estimate and compare its projected components with the assumptions entered here. If the offer uses APR, points, prepaid costs, or different tax and insurance figures, the numbers answer different questions. Test a higher rate and higher bills as a range. PMI premiums and cancellation timing vary by loan and property, so replace the scenario with written terms when available. Use the Loan and Mortgage Calculator for scenario comparisons.
According to Consumer Financial Protection Bureau, PITI means principal, interest, taxes, and insurance, the four basic elements of a monthly mortgage payment.
For a closer look at mortgage insurance assumptions and cancellation scenarios, continue with the PMI calculator.
Frequently Asked Questions
Q: How do I calculate a monthly loan payment?
A: Enter the principal, annual nominal interest rate, and term. The calculator converts the annual rate to a monthly rate and applies the fixed-payment amortization formula. For a mortgage, it then adds one-twelfth of annual property tax and insurance plus an estimated PMI amount when the modeled LTV is above 80%.
Q: What is included in a mortgage payment?
A: This estimate separates principal and interest, monthly property tax, monthly homeowners insurance, and estimated PMI. Those are the main modeled components. Your actual payment may also reflect HOA dues, flood insurance, lender fees, escrow cushions, or other costs that are not included in this calculator.
Q: How does a down payment change the monthly mortgage payment?
A: A larger down payment reduces the mortgage principal used in the amortization formula. That generally lowers principal and interest, total interest, and LTV. If the resulting LTV is 80% or lower, this model also removes its estimated PMI component. Keep enough cash for closing and reserves.
Q: When is PMI required on a mortgage?
A: Conventional lenders commonly associate PMI with a down payment below 20%, but the exact premium and cancellation rules depend on the loan. This calculator uses an 80% LTV benchmark and your entered annual PMI rate as a transparent estimate, not as a quote or eligibility determination.
Q: What is the difference between APR and the interest rate?
A: The interest rate is the nominal rate used to calculate scheduled interest and principal in this tool. APR is broader and can include the interest rate plus certain lender charges. Compare the APR and the written fee disclosure when evaluating offers, because this calculator does not amortize upfront fees.
Q: Why does a longer loan term cost more interest?
A: A longer term spreads principal across more monthly payments. That usually lowers the required principal-and-interest amount, but interest continues to accrue while the balance is outstanding. Compare total interest and total scheduled payment, not only the lower monthly figure, when testing a longer term.