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Loan Payment Formula:

\[ PMT = P \times \frac{r \times (1 + r)^n}{(1 + r)^n - 1} \]

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1. What is the Loan Payment Formula?

The loan payment formula calculates the fixed monthly payment required to pay off a loan over a specified term. This is commonly used for mortgages, car loans, and other installment loans.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

\[ PMT = P \times \frac{r \times (1 + r)^n}{(1 + r)^n - 1} \]

Where:

Explanation: The formula accounts for both principal repayment and interest charges, with more interest paid earlier in the loan term.

3. Importance of Loan Calculation

Details: Understanding your monthly payment helps with budgeting and comparing loan options. It also shows the true cost of borrowing through total interest calculations.

4. Using the Calculator

Tips: Enter the loan amount in dollars, annual interest rate as a percentage (e.g., 3.5 for 3.5%), and loan term in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this include property taxes and insurance?
A: No, this calculates only principal and interest. A complete mortgage payment may include taxes, insurance, and possibly PMI.

Q2: How does a larger down payment affect the loan?
A: A larger down payment reduces the principal amount, resulting in lower monthly payments and less total interest paid.

Q3: What's better - shorter term with higher payments or longer term with lower payments?
A: Shorter terms mean less total interest but higher monthly payments. Choose based on your budget and how quickly you want to pay off the loan.

Q4: How does refinancing affect my loan?
A: Refinancing at a lower rate can reduce monthly payments and total interest, but may extend the loan term unless you keep the same payoff date.

Q5: Are there prepayment penalties?
A: Some loans charge fees for early payoff. Check your loan terms if you plan to make extra payments.

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