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Simple Mortgage Calculator Payment Schedule

Mortgage Payment Formulas:

\[ I_k = B_{k-1} \times r \] \[ P_k = M - I_k \] \[ B_k = B_{k-1} - P_k \]

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1. What is a Mortgage Payment Schedule?

Definition: This calculator shows the breakdown of each monthly mortgage payment into interest and principal components, along with the remaining balance.

Purpose: It helps borrowers understand how their payments are applied and how the loan balance decreases over time.

2. How Does the Calculator Work?

The calculator uses these formulas for each month:

\[ I_k = B_{k-1} \times r \] \[ P_k = M - I_k \] \[ B_k = B_{k-1} - P_k \]

Where:

Explanation: Each payment first covers the interest due on the remaining balance, with the remainder applied to reduce the principal.

3. Importance of Payment Schedule

Details: Understanding the schedule helps with financial planning, shows the true cost of borrowing, and illustrates how extra payments can reduce total interest.

4. Using the Calculator

Tips: Enter the loan amount, monthly interest rate (annual rate ÷ 12), fixed monthly payment, and number of months to display. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why does early payment go mostly to interest?
A: Interest is calculated on the outstanding balance, which is highest at the beginning of the loan term.

Q2: How do I find my monthly interest rate?
A: Divide your annual rate by 12 (e.g., 6% annual = 0.06 ÷ 12 = 0.005 monthly).

Q3: What if my payment doesn't cover the interest?
A: The calculator will show negative principal, indicating your balance would increase (negative amortization).

Q4: How does extra payment affect the schedule?
A: Recalculate with higher payment to see reduced interest and faster payoff.

Q5: Why does my final payment differ?
A: The calculator adjusts the final payment to exactly clear the remaining balance.

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