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Calculate My Monthly Loan Payment

Loan Payment Formula:

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

USD
%
years

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1. What is the Loan Payment Formula?

The loan payment formula calculates the fixed monthly payment required to fully repay a loan over its term, including both principal and interest. It's based on the time value of money concept.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

Explanation: The formula accounts for compound interest over the life of the loan, calculating a fixed payment that covers both principal and interest.

3. Importance of Loan Payment Calculation

Details: Understanding your monthly payment helps with budgeting and financial planning. It allows you to compare different loan options and terms.

4. Using the Calculator

Tips: Enter the loan amount in USD, annual interest rate as a percentage (e.g., 5.25), and loan term in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this include taxes and insurance?
A: No, this calculates only principal and interest. For a complete mortgage payment, add property taxes and insurance.

Q2: How does loan term affect payments?
A: Shorter terms mean higher monthly payments but less total interest paid. Longer terms reduce monthly payments but increase total interest.

Q3: What's the difference between APR and interest rate?
A: The interest rate is the base cost of borrowing, while APR includes fees and other loan costs.

Q4: Can I pay extra to reduce the term?
A: Yes, additional principal payments reduce total interest and may shorten the loan term.

Q5: How accurate is this calculator?
A: It provides standard loan payment estimates. Actual payments may vary slightly due to rounding or specific lender practices.

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