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Debt Repayment Calculator

Debt Repayment Formula:

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

$
%
months

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1. What is the Debt Repayment Formula?

The debt repayment formula calculates the fixed monthly payment required to pay off a loan over a specified period, including both principal and interest components.

2. How Does the Calculator Work?

The calculator uses the debt repayment formula:

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

Where:

Explanation: This formula calculates the fixed monthly payment needed to completely pay off a loan over the specified term, accounting for both principal repayment and interest charges.

3. Importance of Debt Repayment Calculation

Details: Accurate debt repayment calculation is crucial for financial planning, budgeting, and understanding the true cost of borrowing. It helps borrowers make informed decisions about loan terms and affordability.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What if the interest rate is 0%?
A: For zero interest loans, the monthly payment is simply the total debt divided by the number of months.

Q2: Does this include additional fees?
A: This calculation includes only principal and interest. Additional fees (origination fees, insurance, etc.) are not included in this calculation.

Q3: How does the payment change with different terms?
A: Longer terms result in lower monthly payments but higher total interest paid. Shorter terms have higher monthly payments but lower total interest cost.

Q4: Can this be used for mortgage calculations?
A: Yes, this is the standard formula used for calculating fixed-rate mortgage payments.

Q5: What about variable interest rates?
A: This calculator assumes a fixed interest rate. For variable rates, the calculation would need to be adjusted as the rate changes over time.

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