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Loan Calculator

Standard Loan Payment Formula:

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

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1. What is the Loan Payment Formula?

The standard loan payment formula calculates the fixed monthly payment required to fully repay a loan over its term, including both principal and interest components.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

Explanation: The formula calculates the fixed payment amount that covers both interest and principal repayment over the loan term.

3. Importance of Loan Calculation

Details: Accurate loan payment calculation is crucial for financial planning, budgeting, and understanding the true cost of borrowing money.

4. Using the Calculator

Tips: Enter the principal amount in dollars, annual interest rate as a percentage, and loan term in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is included in the monthly payment?
A: The calculated payment includes both principal repayment and interest charges, but may not include insurance, taxes, or other fees that lenders often require.

Q2: How does loan term affect the payment?
A: Longer loan terms result in lower monthly payments but higher total interest costs over the life of the loan.

Q3: Is this formula used for all types of loans?
A: This formula is standard for fixed-rate amortizing loans, including mortgages, auto loans, and personal loans.

Q4: What's the difference between interest rate and APR?
A: The interest rate is the cost of borrowing the principal, while APR (Annual Percentage Rate) includes additional fees and costs associated with the loan.

Q5: Can I calculate how much goes toward principal vs interest?
A: Yes, in the early payments, most of the payment goes toward interest. As the loan matures, more goes toward principal reduction.

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