Personal Finance, Loans & Credit Auto, Lease & Personal Loans Regulation Z finance charge and APR

Personal Loan Payment Calculator

A personal loan quote has two rates hiding in it. The note rate sets your payment; the origination fee, deducted from the money you actually receive, sets what the loan really costs. This calculator computes the payment from the amount you sign for, then solves for the rate that equates your net proceeds to that stream of payments — the effective cost rate, and the figure that should match the APR the lender is required to disclose. It also handles biweekly and weekly repayment, which some lenders offer and which changes the arithmetic more than it looks.

Calculator

This calculator runs in your browser. Enable JavaScript for live results — the inputs, formula and worked example below remain fully readable without it.

Inputs this calculator takes, with typical values
InputWhat to enterExample
Loan amount requestedThe face amount of the note — the balance you will repay, before any fee is deducted.15000 $
Interest rate (note rate)The rate the payment is computed from. If the lender quoted an APR that already includes the fee, enter it here and set the fee to zero.11.99 %
TermTotal length of the loan; the number of payments depends on this and the frequency below.48 months
Origination feeDeducted from the proceeds at funding, so you repay the full loan amount but receive less.5 % of loan amount
Fee is deducted from the proceedsTick if the fee comes out of the money wired to you. Untick if you pay it separately in cash.Yes
Payment frequencyPayments per year. The periodic rate is the annual rate divided by this number.Monthly

It returns

  • Payment each period — The amount due at each payment date, at the frequency you selected.
  • Cash you actually receive
  • Origination fee
  • Total interest
  • Total you repay
  • Effective cost rate including the fee
  • Number of payments

The formula

N=M1(1+ρ)nρ
M=Lr1(1+r)n

In plain text: M = L·r / (1 − (1 + r)^−n); net = L − fee; effective rate solves net = M · (1 − (1 + ρ)^−n) / ρ

  • LLoan amount signed for — the balance you repay ($)
  • NNet proceeds actually received, after the origination fee ($)
  • MPayment each period ($)
  • rPeriodic note rate: annual rate ÷ payments per year (decimal)
  • ρPeriodic effective cost rate, solved numerically (decimal)
  • nNumber of payments (—)

The effective rate has no closed-form solution for n above four, so it is found by bisection: the rate that makes the present value of your payments equal the cash you received.

Updated Category Auto, Lease & Personal Loans Verified against published test cases Reading time 10 min

The two rates on every personal loan quote

A personal loan is unsecured, fixed-rate and fully amortising: no collateral, one payment amount, and a balance that reaches zero on the last scheduled date. What makes it different from an auto loan is the origination fee, which most online lenders charge and most banks do not.

The fee is deducted from the money wired to you, but not from the balance you repay. Borrow $15,000 with a 5% fee and $14,250 lands in your account while you make payments on $15,000. You are paying interest on $750 you never had.

That is why two rates matter. The note rate is what the payment is computed from — 11.99% in the default case, producing a payment of $394.93. The effective cost rate is the rate that equates the $14,250 you received to those 48 payments, and it is 14.77%. A 5% fee on a four-year loan adds roughly 2.8 percentage points to the cost of the money.

Under Regulation Z an origination fee is a finance charge, so the APR the lender discloses on the note should already include it and should match the effective cost rate here. Use that as your check: if the disclosed APR equals the rate you were quoted verbally and there is also a fee, something has been left out of the disclosure or the quote was the APR all along.

Payment first, then the rate that money really cost

The payment comes from the standard amortised-loan identity, M = L·r / (1 − (1 + r)n), with r the annual rate divided by the number of payments a year and n the number of payments. It is the same formula behind the auto loan calculator and the mortgage payment calculator.

The effective rate is the harder half. You want the periodic rate ρ that satisfies net proceeds = M × (1 − (1 + ρ)^−n) / ρ — the internal rate of return on the actual cash flows. There is no algebraic solution once n exceeds four, so the calculator brackets ρ and bisects: the right-hand side falls monotonically as ρ rises, so a hundred halvings pin it down to more precision than the number deserves. Multiplying the periodic answer by the payments per year gives the annual figure.

Payment frequency changes more than the payment size. Choosing biweekly does not merely split the monthly amount in half. The periodic rate becomes the annual rate ÷ 26, and there are 78 payments over three years rather than 36 — so you pay 26 times a year rather than 24 half-payments, and the balance falls sooner. On $10,000 at 12% over 36 months, monthly repayment costs $1,957 of interest and biweekly costs $1,931.

Worked example: $15,000 at 11.99% over 48 months with a 5% fee

Take the defaults and work each figure by hand.

  1. Periodic rate. r = 11.99 ÷ 100 ÷ 12 = 0.00999167.
  2. Number of payments. 48 months × 12 ÷ 12 = 48.
  3. Discount factor. (1.00999167)48 = 1.61245, so (1 + r)−48 = 0.620175 and 1 − that = 0.379825.
  4. Payment. M = 15,000 × 0.00999167 ÷ 0.379825 = 149.875 ÷ 0.379825 = $394.93.
  5. Total repaid. 48 × 394.93 = $18,956.83, of which $3,956.83 is interest.
  6. The fee. 5% × 15,000 = $750, deducted at funding, so you receive $14,250.
  7. Effective cost rate. Find ρ such that 394.93 × (1 − (1 + ρ)−48) / ρ = 14,250. Bisection gives ρ = 0.0123092 per month, and 0.0123092 × 12 = 14.771%.

So the loan is advertised at 11.99% and costs 14.77%. The whole difference is the $750, and the shorter the term the worse it looks: the identical 5% fee on a 24-month loan pushes 12% up to 17.23%, because the same one-off charge is spread over half as many payments.

How to judge an offer

Compare offers on the effective cost rate, never on the note rate or the monthly payment. A lender quoting 9.99% with an 8% fee is more expensive over four years than one quoting 12.99% with no fee, and neither the rate nor the payment reveals that — only the cost rate does.

Watch the interaction between the fee and the term, because it runs the opposite way to intuition. A fee is a one-off charge, so spreading it over more payments dilutes it: the reference table below shows a 5% fee adding 5.2 points to a 24-month loan and only 2.3 points to a 60-month one. That does not make the long loan cheaper — total interest still rises with term — but it does mean the cost rate alone will understate how much a long loan costs you in dollars. Read the total-repayment figure alongside it.

Then ask what the loan is for. Personal loans are usually the right instrument in two cases: consolidating higher-rate revolving debt, and funding a defined one-off expense you would otherwise put on a card. If you are consolidating, the test is simple — the effective cost rate here must be below the rate on the debt you are clearing, and you must not re-run the balances back up. The credit card payoff calculator gives you the rate to beat, and the debt avalanche calculator shows whether simply attacking the highest rate does the job without a new loan at all.

Finally, look at what a personal loan is not. It is unsecured, so nothing is repossessed if you default — but the rate reflects that risk, which is why personal loan rates sit well above auto loan and mortgage rates and well below credit cards.

What an origination fee adds to a 12% loan

Effective cost rate on a loan with a 12% note rate, by fee and term. The payment is unchanged by the fee; only the cash received changes, so the whole effect shows up in the rate.
Origination fee24 months36 months48 months60 months
0%12.00%12.00%12.00%12.00%
1%13.02%12.70%12.54%12.44%
3%15.09%14.13%13.64%13.35%
5%17.23%15.61%14.78%14.28%
8%20.55%17.90%16.55%15.74%
10%22.86%19.49%17.78%16.75%

Read across a row: the same fee costs less in rate terms on a longer loan, because a one-off charge is amortised over more payments. Read down a column: at 24 months an 8% fee adds 8.55 points, which is more than the note rate itself would suggest is possible for a single charge.

Things to check before signing

  • Is the quoted figure the rate or the APR? Lenders use both words loosely in marketing. The note carries a box labelled ANNUAL PERCENTAGE RATE — that is the one Regulation Z defines, and it includes the origination fee.
  • Prepayment penalties. Rare on personal loans but not extinct. Without one, paying early cuts interest immediately; with one, it may not.
  • The fee is not refundable if you repay early. Pay off a 60-month loan in year one and you have paid a 5% fee for twelve months of borrowing, which is a far higher effective rate than the table above shows.
  • Autopay discounts are real but conditional. A 0.25% or 0.50% reduction usually disappears if a draft fails, so enter the rate you will actually pay rather than the promotional one.
  • Late fees and returned-payment fees are outside this model. They are not finance charges under Regulation Z and do not appear in the APR either.
  • Debt consolidation only works if the cards stay paid off. A consolidation loan that is followed by fresh card balances leaves you with both.
  • Credit union rates are often materially lower. Federal credit unions are capped at 18% on most loans by NCUA rule, and many charge no origination fee at all.

Where a personal loan sits among the alternatives

Ranked by cost, a household's borrowing options usually run: mortgage or home-equity debt cheapest, then auto loans, then personal loans, then credit cards, with payday and pawn products far above everything. That ordering follows the collateral. A mortgage is secured by a house and an auto loan by a car; a personal loan is secured by nothing, which is exactly why its rate sits where it does.

Against a credit card, a personal loan wins on two structural points and loses on one. It wins because the rate is lower and because the term is fixed, so the balance actually reaches zero — a card left on minimum payments can run for decades. It loses on flexibility: you cannot draw more, and the payment is contractual rather than discretionary.

Against a home-equity loan, the personal loan is more expensive and does not put the house at risk. That is not a small trade. Converting unsecured debt into secured debt lowers the rate and raises the consequence of default from a credit-score problem to a housing problem.

One structural point worth naming: a fixed-term instalment loan changes your credit mix and, once established, tends to help a thin file. But the hard inquiry and the new account will dip the score in the short run, so apply when you are not about to be underwritten for something larger — check the home affordability calculator first if a mortgage is anywhere in the next year, because a new $395 payment reduces the mortgage you qualify for by roughly $62,000 at a 6.5% thirty-year rate.

Frequently asked questions

What is the monthly payment on a $10,000 personal loan?

At 10% over 36 months, $322.67 a month and $1,616.19 of total interest. The payment scales linearly with the amount, so $20,000 on the same terms is $645.34. What does not scale linearly is the cost of an origination fee: at 5% you would receive $9,500 while paying on $10,000, which raises the effective cost from 10% to 13.56%. Enter your own fee above to see it.

Why is the APR higher than the interest rate I was quoted?

Because Regulation Z requires the APR to include the origination fee, and the quoted rate usually does not. On the default $15,000 loan the note rate of 11.99% becomes an effective cost of 14.771% once the $750 fee is deducted from the proceeds. That gap is not a lender error; it is the disclosure working as designed. If the two figures are identical and there is a fee, ask which one is really the APR.

How does an origination fee change what I should borrow?

If you need a specific sum in hand, gross the request up. To receive $10,000 net with a 5% fee, borrow 10,000 ÷ 0.95 = $10,526, not $10,500 — the fee applies to the larger amount. Getting this wrong by borrowing $10,500 leaves you $25 short at funding, which is a nuisance rather than a disaster but is easily avoided.

Is a personal loan cheaper than a credit card?

Usually, and the difference is large. Personal loan rates commonly run well below the rate on a revolving card balance, and the fixed term forces the balance to zero. The comparison that matters is the effective cost rate here against the card's APR, and the discipline that matters is not re-running the card balances after consolidating. Use the credit card payoff calculator to see what the existing debt costs before you refinance it.

Does paying biweekly save money on a personal loan?

A little, but not for the reason people assume. Paying every two weeks means the balance falls sooner within each month, so less interest accrues — on $10,000 at 12% over 36 months, the saving against monthly repayment is about $26. What produces the large savings on a mortgage is the thirteenth payment a year that biweekly plans create; here the term is fixed at 36 months either way, so no extra payment is generated.

Can I pay off a personal loan early?

Almost always, and it cuts interest immediately because the loan accrues on the outstanding balance. What it does not refund is the origination fee, which was charged once at funding — so a 5% fee on a loan you repay in year one is a far higher effective rate than the term suggested. Check the note for a prepayment clause before assuming, and confirm the lender applies extra money to principal rather than holding it as a future instalment.

What credit score do I need for a good personal loan rate?

Rate tiers vary by lender and change with conditions, so any specific number here would be out of date quickly. The structural facts are stable: rates and fees both improve as scores rise, federal credit unions are capped at 18% on most loans by NCUA rule, and the same borrower will often see several percentage points of spread across lenders on the same day. Get pre-qualified with two or three lenders — most use a soft inquiry — and compare on the effective cost rate.

Should I take a longer term to lower the payment?

Only if the payment does not otherwise fit. Extending from 36 to 60 months on the default loan lowers the payment substantially and raises total interest, because you are borrowing the same money for two more years. The effective cost rate falls when you extend — the one-off fee is spread over more payments — which is exactly why that rate should be read alongside the total-repayment figure rather than instead of it.

References