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PMT Calculator

Calculate periodic payment amounts for loans and annuities

PMT Formulas

Loan PMT
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Annuity PMT
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Understanding PMT

PMT (Payment) is a financial function that calculates the periodic payment needed to pay off a loan or reach a savings goal. It's the Excel/Google Sheets function used for loan calculations and is fundamental to time value of money analysis.

For loans, PMT calculates what you pay each period to fully amortize the debt. For savings, it calculates how much to save each period to reach a future goal. The formula accounts for compound interest over time.

PMT assumes equal payments at regular intervals and a constant interest rate. Most mortgages, car loans, and personal loans use this standard amortization structure. Adjustable-rate loans require recalculation when rates change.

PMT Function Components

💵

Present Value (PV)

Current loan balance or investment amount. Starting point.

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Future Value (FV)

Target balance at end (usually 0 for loans, goal amount for savings).

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Rate

Interest rate per period (annual rate ÷ periods per year).

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Periods (N)

Total number of payments (years × payments per year).

Common PMT Calculations

ScenarioPVRate/PeriodsPMT Result
$300K Mortgage 30yr$300,0006%, 360$1,799/mo
$25K Car Loan 5yr$25,0007%, 60$495/mo
$10K Personal 3yr$10,00010%, 36$323/mo
Save $1M in 30yrFV=$1M7%, 360$820/mo
$50K Student 10yr$50,0005%, 120$530/mo

Using PMT Effectively

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Match Rate & Periods

If paying monthly, use monthly rate (annual ÷ 12) and monthly periods (years × 12).

Sign Convention

In Excel, PMT returns negative (outflow). PV is positive for loans. FV is positive for savings goals.

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Solve for Other Variables

Rearrange to find PV (how much can I borrow?), N (how long to pay off?), or rate.

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Sensitivity Analysis

Test different rates and terms to see payment impact. Small rate changes have big effects.

Frequently Asked Questions

How do I use PMT in Excel?

=PMT(rate/12, periods*12, -loan_amount, 0, 0). For a $200K loan at 6% for 30 years: =PMT(0.06/12, 360, -200000) = $1,199. The negative PV gives a positive payment result.

What's the difference between beginning and end payments?

Most loans use end-of-period (ordinary annuity). Some leases use beginning-of-period (annuity due). Beginning-of-period payments are slightly lower because money is paid earlier. In Excel, set type=1 for beginning.

Can PMT calculate savings contributions?

Yes. Set PV=0 (or current savings), FV=goal amount, and solve for PMT. For $500K in 20 years at 7%: =PMT(0.07/12, 240, 0, -500000) = $964/month.

Why doesn't my PMT match the lender's quote?

Lenders may include insurance, taxes, or fees. APR differs from interest rate. Loan may have points or origination fees. Rounding differences. Compare principal and interest portion only.

Examples

Classic: $20,000 loan at 6% APR for 5 years, monthly payments

A borrower takes a $20,000 personal loan at a 6.0% annual interest rate, repaid in equal monthly installments over a 5-year (60-month) term — the exact case Excel's PMT function is designed for.

ResultMonthly payment about $386.66. Total paid roughly $23,199 over 60 months. Total interest about $3,199.

Convert the annual rate to a periodic rate: r = 0.06 / 12 = 0.005. With n = 60 periods and PV = $20,000, plug into PMT = (PV × r) / (1 − (1+r)^−n) = (20000 × 0.005) / (1 − 1.005^−60) ≈ 100 / 0.2586 ≈ 386.66. In Excel this is =PMT(0.06/12, 60, -20000) and returns the same 386.66.

Frequently asked questions

How is PMT different from an interest-only payment?

PMT calculates a fully amortizing payment — every installment includes both interest accrued that period and a chunk of principal, so the balance reaches zero on the final payment. An interest-only payment covers just the period's interest and leaves principal untouched, meaning the full loan balance is still owed at the end of the interest-only window. Interest-only payments are lower, but the loan does not pay itself off; some future PMT-style amortization (or a balloon) must follow.

What's the difference between Excel's PMT, IPMT, and PPMT?

PMT returns the total constant payment for a fully amortizing loan. IPMT returns just the interest portion of a specific payment number (e.g., the interest in payment 12). PPMT returns just the principal portion of a specific payment. IPMT + PPMT for the same period always equals PMT. Use IPMT and PPMT when you need to build an amortization schedule, allocate interest for tax purposes, or report mortgage interest separately.

Should payments be at the beginning or end of the period?

Most loans use end-of-period payments (an ordinary annuity), and that's the default for the PMT formula shown here. Some leases, rental agreements, and annuity-due investment products pay at the beginning of the period, which makes each payment slightly smaller because money is paid earlier and accrues less interest. In Excel, PMT's last argument (type) is 0 for end-of-period (default) or 1 for beginning-of-period.

When does future value (FV) matter in the PMT formula?

FV is the balance you want left at the end. For a standard loan you want it fully paid off, so FV = 0 and the simpler PMT = (PV × r) / (1 − (1+r)^−n) applies. If you're saving toward a target (FV > 0, PV = 0), the formula flips to PMT = (FV × r) / ((1+r)^n − 1). If you have both a starting balance and a residual balloon, the full PMT formula handles both PV and FV simultaneously — the Excel function does this natively.

When does the PMT formula fail or give misleading results?

PMT assumes a constant periodic rate and equal time between payments. It breaks down on adjustable-rate or step-rate loans (the schedule has to be recalculated each rate change), on loans with skipped or graduated payments, and on instruments with embedded options like prepayment penalties or callable bonds. It also doesn't handle fees-financed-into-the-loan transparently — if the lender bakes points or origination fees into the principal, the PMT is right for the inflated balance but the borrower's effective cost (APR) is higher than the nominal rate suggests.

Does the same PMT formula work for biweekly or weekly payments?

Yes — just match the periodic rate and number of periods to the payment frequency. For biweekly: r = annual rate / 26 and n = years × 26. For weekly: r = annual rate / 52 and n = years × 52. The result is the payment per period (per biweek or per week), not per month. Biweekly schedules also make 26 payments per year rather than the 24 implied by twice-monthly, which is why biweekly mortgages pay off faster than monthly ones at the same nominal rate.

Why does Excel's PMT return a negative number?

Excel uses a cash-flow sign convention: money flowing out of your pocket is negative, money flowing in is positive. If you enter the loan amount (PV) as a positive number — the bank giving you cash — PMT is negative because you're paying it back. Enter PV as negative (-20000) and PMT comes back positive. Either is mathematically correct; pick whichever convention reads more naturally for your spreadsheet.

Sources

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