PMT interview question: a loan's monthly payment
The finance question in Excel interviews: a loan's monthly payment and its total interest, with the rate, period and sign traps explained, an NPV follow-up, and a sheet that grades yours.
PMT returns the fixed payment per period on a loan: =PMT(rate/12, years*12, -amount) is the monthly payment.
Available in every version of Excel, Excel for the web and Google Sheets=PMT(rate, nper, pv, [fv], [type])| Argument | Required | What it means |
|---|---|---|
rate | Yes | The interest rate per period: the yearly rate divided by 12 for monthly payments. |
nper | Yes | The number of payments: years × 12 for monthly. |
pv | Yes | The loan amount. Enter it as negative to get a positive payment. |
fv | No | What's left after the last payment. 0 for a loan paid off in full (the default). |
type | No | 0 for payments at the end of each period (the default), 1 for the start. |
25,000 over 5 years at 6% a year. Rate and term are converted to months; the minus sign makes the payment positive.
| Row | A | B |
|---|---|---|
| 1 | Loan amount | $25,000.00 |
| 2 | Yearly rate | 6.0% |
| 3 | Years | 5 |
| 4 | Monthly payment | $483.32 |
=PMT(B2/12,B3*12,-B1) → $483.32Every payment times the number of payments, minus what was borrowed.
| Row | A | B |
|---|---|---|
| 1 | Loan amount | $25,000.00 |
| 2 | Yearly rate | 6.0% |
| 3 | Years | 5 |
| 4 | Monthly payment | $483.32 |
| 5 | Total interest | $3,999.20 |
=B4*B3*12-B1 → $3,999.20New data, so you can't copy the answer above. We check the number your formula returns, then change the data to make sure it still holds.
Your task: In B4, return the monthly payment on the mortgage described above it.
Graded live| Row | A | B |
|---|---|---|
| 1 | Loan amount | $240,000 |
| 2 | Yearly rate | 4.50% |
| 3 | Years | 25 |
| 4 | Monthly payment |
Write the formula in the bar above, then press Check or Enter.
Monthly rate is B2/12, the number of payments is B3*12, and the loan B1 goes in with a minus sign.
=PMT(B2/12,B3*12,-B1) Any formula that returns the same result passes.
The loan payment calculator works out the payment, the total interest and the full repayment schedule for your own loan, and prints the PMT formula that gives the same payment.
No. It's principal and interest only. Add property tax, insurance and fees separately.
IPMT returns the interest part of a given payment and PPMT the principal part. Together they add up to PMT.
Worked problems with practice sheets.
The finance question in Excel interviews: a loan's monthly payment and its total interest, with the rate, period and sign traps explained, an NPV follow-up, and a sheet that grades yours.
Practise PMT and the functions around it in a live grid that grades your result and explains your mistakes.
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