calculate-loan

04 Payoff, extra payments and refinance

Biweekly Payment Calculator: Payoff Time and Interest Saved

Calculator No. 04-0023 · Updated · Formula and assumptions shown below

Years to pay off with biweekly payments 24.1 years
Biweekly payment (half the monthly)
$790.09
Level-payment formula, rounded to the cent
Interest saved (approx.)
$73,434.87
From the formula below, to the cent
Loan amount
$250,000
Input
You enter
Loan amount ($), Interest rate (APR) (%), Loan term (years)
You get
Years to pay off with biweekly payments (years), Biweekly payment (half the monthly) ($), Interest saved (approx.) ($)
Rounding
1 dp · 2 dp

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

This calculator shows what happens if you pay half of your monthly payment every two weeks instead of the full payment once a month. That makes 26 half-payments, the same as 13 monthly payments a year, so the loan ends sooner. Enter the amount, APR and term of the monthly loan.

Formula

Monthly payment M = P × r ÷ (1 − (1 + r)−n), r = APR ÷ 1200. Biweekly payment h = M ÷ 2 with rate i = APR ÷ 2600 per two-week period. Periods to pay off N = −ln(1 − i × P ÷ h) ÷ ln(1 + i); years = N ÷ 26. Interest saved ≈ M × n − h × N.

Worked Example

$250,000 at 6.5% APR over 30 years.

  1. M = 1,580.17 a month, so h = $790.09 every two weeks
  2. i = 6.5 ÷ 2600 = 0.0025; N = −ln(1 − 0.0025 × 250,000 ÷ 790.09) ÷ ln(1.0025) ≈ 627.05 periods
  3. Years = 627.05 ÷ 26 = 24.1
  4. Interest saved ≈ 1,580.17 × 360 − 790.09 × 627.05 = $73,434.87

Assumptions

  • Fixed rate; interest charged every two weeks at APR ÷ 26 on the biweekly plan.
  • Some lenders hold biweekly payments and apply them monthly; then the saving comes only from the 13th payment a year and is a little smaller.
  • No fees for the biweekly plan.

How to read the result

The saving comes from paying one extra monthly payment a year. You can get almost the same effect by adding one twelfth of a payment to each monthly payment.

Limits and common mistakes

  • Check with your lender that biweekly payments go straight to principal; some programs charge a fee.
  • The saving shown is rounded through a fractional last period, so it is approximate.

Frequently Asked Questions

How much faster is a 30-year loan paid biweekly?

At 6.5%, in about 24.1 years instead of 30.

Why does it work?

26 half-payments a year equal 13 full monthly payments, one more than a monthly schedule.

Is it the same as weekly payments?

In effect, yes: a quarter of the monthly payment every week adds up to 13 monthly payments a year, the same as biweekly. A weekly payment worked out on its own 52-a-year schedule (the weekly vs monthly calculator) does not speed up the payoff.

Formula used
in p | Loan amount | $ | 250000 | 1 | 100000000
in apr | Interest rate (APR) | % | 6.5 | 0.01 | 100
in yrs | Loan term | years | 30 | 1 | 50
out yb | Years to pay off with biweekly payments | years | -ln(1 - (apr / 2600) * p / (p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) / 2)) / ln(1 + apr / 2600) / 26 | 1
out hp | Biweekly payment (half the monthly) | $ | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) / 2 | 2
out sav | Interest saved (approx.) | $ | hp * 2 * yrs * 12 - hp * yb * 26 | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.

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