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The Excel PMT formula
Excel defines the function as =PMT(rate, nper, pv, [fv], [type]). Microsoft’s PMT documentation describes the arguments as follows:
- rate: interest rate for one payment period.
- nper: total number of payment periods.
- pv: present value, normally the amount borrowed.
- fv: balance after the final payment, usually zero.
- type:
0(or omitted) for payment at the end of a period;1for payment at the beginning.
The rate and period count must use the same frequency. Monthly payments normally use annual rate ÷ 12 and years × 12; quarterly payments use ÷ 4 and × 4. For weekly or biweekly contracts, use the lender’s actual periodic-rate convention rather than assuming annual rate ÷ 26 is universally correct.
Why the result is negative
Excel uses cash-flow signs: money received is positive and money paid is negative. Thus =PMT(8%/12,60,25000) returns a negative repayment. Prefixing the function with a minus sign displays a positive amount. Alternatively, enter the principal as negative: =PMT(8%/12,60,-25000). Keep the sign convention consistent in PMT, IPMT and PPMT.
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Set up reusable loan inputs
| Cell | Label | Example |
|---|---|---|
| B2 | Loan amount | 25000 |
| B3 | Annual interest rate | 8% |
| B4 | Term in years | 5 |
| B5 | Payments per year | 12 |
| B6 | Payment timing | 0 |
| B7 | Periodic payment | =-PMT(B3/B5,B4*B5,B2,0,B6) |
| B8 | Total scheduled payments | =B7*B4*B5 |
| B9 | Total interest | =B8-B2 |
Format amounts as Currency and rates as Percentage. Shade input cells differently from formula cells. Keep full precision in calculations and round only displayed values unless the contract specifies another method.
Example 1: $25,000 monthly car or personal loan
For a $25,000 loan at 8% annually over five years with monthly payments, enter:
=-PMT(8%/12,5*12,25000)
Excel returns approximately $506.91 per month (the unrounded result is about $506.9099). The division converts 8% to a monthly rate, and 5 × 12 creates 60 payments.
Total scheduled payments are approximately $30,414.59, and total interest is approximately $5,414.59 when calculated from the unrounded payment.
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Example 2: Mortgage principal-and-interest payment
For $180,000 at 5% over 30 years with monthly payments:
=-PMT(5%/12,30*12,180000)
The result is approximately $966.28 per month, matching Microsoft’s example in its payment-and-savings guide. This is principal and interest, not necessarily the mortgage bill. Add separate inputs for annual property tax ÷ 12, homeowners insurance ÷ 12, mortgage insurance and any other escrow or reserve amount, then sum those components.
Example 3: Payments at the beginning of each period
For $10,000 at 8% with ten monthly payments, an end-of-period annuity uses:
=-PMT(8%/12,10,10000,0,0) → approximately $1,037.03.
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A beginning-of-period schedule uses:
=-PMT(8%/12,10,10000,0,1) → approximately $1,030.16.
Paying one period earlier reduces interest accumulation. Use type=1 only when the contract actually makes payments due at the start of each period; a payment shortly after closing is not automatically an annuity-due schedule.
Example 4: Quarterly payments
For $10,000 at 12% annually over three years with four payments per year:
=-PMT(12%/4,3*4,10000)
The quarterly payment is approximately $1,004.62.
| Frequency | Rate argument | Periods argument |
|---|---|---|
| Monthly | annual_rate/12 |
years*12 |
| Quarterly | annual_rate/4 |
years*4 |
| Semiannual | annual_rate/2 |
years*2 |
| Annual | annual_rate |
years |
Separate principal and interest
Use IPMT for the interest portion and PPMT for principal. Microsoft documents these functions at IPMT and PPMT.
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For the first month of the $25,000 example:
- Interest:
=-IPMT(8%/12,1,5*12,25000) - Principal:
=-PPMT(8%/12,1,5*12,25000)
Add those two positive results to reconcile to the PMT amount, subject to display rounding.
Build an amortization table
| Column | Formula concept |
|---|---|
| Period | 1, 2, 3 … |
| Payment | =-PMT(rate,nper,pv) |
| Interest | =-IPMT(rate,period,nper,pv) |
| Principal | =-PPMT(rate,period,nper,pv) |
| Ending balance | Beginning balance − principal |
For extra payments or irregular schedules, a balance-based table is more flexible: interest = beginning balance × periodic rate; principal = payment − interest; ending balance = beginning balance − principal.
Independent reader supportYour contribution helps us test, update, and keep practical guides available for everyone.Other Excel tools for loan analysis
Estimate borrowing capacity with PV
If you know the affordable payment, use =-PV(rate,nper,payment) to estimate the supported principal. See Microsoft’s PV documentation.
Solve for term or rate
NPER estimates the number of periods, for example =NPER(8%/12,-506.91,25000). RATE estimates a periodic rate: =RATE(60,-506.91,25000)*12 gives a nominal annualized result. It is not automatically APR. Microsoft notes that RATE uses iteration and can return #NUM! if it does not converge.
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Use Goal Seek for a target payment
- Create a PMT formula.
- Open Data → What-If Analysis → Goal Seek.
- Set the payment cell to the target amount.
- Choose the loan amount (or another input) as the changing cell.
- Run the calculation and review the resulting assumptions.
Microsoft’s Goal Seek guide demonstrates this PMT workflow.
Compare scenarios with a Data Table
A two-variable Data Table can display payments across multiple rates and loan amounts. Follow Microsoft’s Data Table instructions.
When PMT is not enough
- Variable-rate loans: model each rate period and recalculate when the rate resets, including caps, floors and payment rules.
- Interest-only loans: payment is generally
principal*periodic_rate; principal does not decline. - Balloon loans: use a nonzero
fv, for example=-PMT(rate,nper,principal,balloon_balance), with consistent signs. - Extra payments: add an extra-principal column and apply the lender’s rule for shortening the term or changing later payments.
- Irregular dates: partial first periods, daily accrual, 360/365-day bases, holidays and irregular final payments require a date-based schedule.
Use the rate that matches the contract’s amortization. An APR can include fees and may differ from the note rate; it is not automatically interchangeable with the periodic rate used in PMT. Excel is a model of stated assumptions, not a replacement for the lender’s amortization disclosure.
Quick Recap
Common errors and fixes
| Symptom | Likely cause | Fix |
|---|---|---|
| Negative payment | Cash-flow convention | Prefix PMT with a minus sign or enter principal as negative. |
| Payment far too high or low | Annual rate and term used as monthly inputs | Divide the rate and multiply the periods by the same payments-per-year value. |
| Mortgage quote is higher | Taxes, insurance, mortgage insurance or fees excluded | Add those components separately. |
#VALUE! |
Text or invalid input | Ensure amount, rate and term are numeric. |
#NUM! from RATE |
Nonconvergence or incorrect signs | Check signs and try a reasonable guess. |
| Nonzero final balance | Rounded intermediate values or wrong signs | Keep full precision internally and verify IPMT/PPMT signs. |
| First payment differs | Odd-date or partial first period | Model actual dates instead of relying on simple PMT. |
Final checks before relying on the result
- Confirm the periodic rate and payment count match the contract.
- Confirm whether the quoted amount is principal and interest only or includes escrow and fees.
- Check the Excel result against the lender’s disclosed payment and amortization schedule.
- Do not round the payment in every schedule row; round the display unless the contract requires payment-level rounding.
- For a zero-interest loan, use
=IF(rate=0,principal/nper,-PMT(rate,nper,principal))to avoid ambiguity.
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