Principal and Interest Formula:
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The Principal and Interest (P&I) calculation determines the monthly payment amount for a loan, where part goes toward repaying the principal and part covers the interest charges.
The calculator uses the standard amortization formula:
Where:
Explanation: The formula calculates the fixed monthly payment required to fully amortize a loan over its term.
Details: Understanding your principal and interest payment helps with budgeting and shows how much of each payment goes toward reducing your loan balance versus paying interest.
Tips: Enter the loan amount in dollars, monthly interest rate as a percentage (e.g., 0.5 for 0.5%), and loan term in months. All values must be positive numbers.
Q1: How is monthly interest rate calculated?
A: Divide the annual interest rate by 12. For example, 6% annual rate = 0.5% monthly rate (0.005 in decimal).
Q2: Does this include taxes and insurance?
A: No, this calculates only principal and interest. A full mortgage payment might include escrow for taxes and insurance.
Q3: How does payment change over time?
A: Early payments are mostly interest; later payments apply more to principal, though the total payment remains constant.
Q4: What's the difference between P&I and PITI?
A: P&I is principal and interest only. PITI includes principal, interest, taxes, and insurance.
Q5: How can I pay less interest overall?
A: Make extra principal payments or choose a shorter loan term to reduce total interest paid.