Bi-Weekly Mortgage Calculator Formula
Understand the math behind the bi-weekly mortgage calculator. Each variable explained with a worked example.
Formulas Used
Bi-Weekly Payment
biweekly_pmt = biweekly_paymentStandard Monthly Payment
monthly_pmt = monthly_paymentExtra Principal Per Year
extra_per_year = extra_annualTotal Interest (monthly plan)
monthly_total_interest = monthly_payment * n - loan_amountEquivalent Extra Monthly Payments/Year
equiv_extra_payments = 1Variables
| Variable | Description | Default |
|---|---|---|
loan_amount | Loan Amount(USD) | 300000 |
interest_rate | Interest Rate(%) | 7 |
loan_term_years | Loan Term(years) | 30 |
r | Derived value= interest_rate / 100 / 12 | calculated |
n | Derived value= loan_term_years * 12 | calculated |
monthly_payment | Derived value= r > 0 ? loan_amount * r * pow(1 + r, n) / (pow(1 + r, n) - 1) : loan_amount / n | calculated |
biweekly_payment | Derived value= monthly_payment / 2 | calculated |
annual_biweekly_total | Derived value= biweekly_payment * 26 | calculated |
annual_monthly_total | Derived value= monthly_payment * 12 | calculated |
extra_annual | Derived value= annual_biweekly_total - annual_monthly_total | calculated |
How It Works
Bi-Weekly Mortgage Payments
Instead of making 12 monthly payments per year, you make 26 half-payments (every two weeks). This effectively adds one extra monthly payment per year.
Why It Works
Savings
Implementation
Some lenders offer formal bi-weekly programs (may have fees). Alternatively, you can achieve the same result by adding 1/12 of your monthly payment as extra principal each month.
Worked Example
A $300,000 loan at 7% for 30 years, comparing monthly to bi-weekly payments.
- 01Monthly payment: $1,995.91
- 02Bi-weekly payment: $1,995.91 / 2 = $997.96
- 03Annual cost (monthly): $1,995.91 x 12 = $23,950.92
- 04Annual cost (bi-weekly): $997.96 x 26 = $25,946.96
- 05Extra principal per year: $25,946.96 - $23,950.92 = $1,996.04 (one extra payment)
- 06Total interest (monthly): $1,995.91 x 360 - $300,000 = $418,527
- 07Bi-weekly plan saves approximately 5-6 years and $65,000+ in interest
Frequently Asked Questions
How much time does bi-weekly save on a 30-year mortgage?
Bi-weekly payments on a 30-year mortgage typically reduce the loan term by 4 to 6 years, depending on the interest rate. At 7%, a 30-year loan is paid off in about 24-25 years. The higher the rate, the greater the time savings.
Do I need my lender to set up bi-weekly payments?
Not necessarily. You can self-manage by dividing your monthly payment by 12 and adding that amount as extra principal each month. This achieves the same annual result without potential lender program fees.
Are there fees for bi-weekly payment programs?
Some lenders or third-party services charge setup fees ($200-$400) and per-transaction fees ($2-$8 per payment). These fees reduce your savings. The self-managed approach of making one extra payment per year avoids all fees.
Ready to run the numbers?
Open Bi-Weekly Mortgage Calculator