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Ordinary Annuity Payment Calculator

Ordinary Annuity Payment Formula:

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

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1. What is the Ordinary Annuity Payment Formula?

The Ordinary Annuity Payment formula calculates the periodic payment amount required to pay off a loan or achieve a future value over a specified number of periods at a given interest rate. It's commonly used for mortgage calculations, car loans, and retirement planning.

2. How Does the Calculator Work?

The calculator uses the Ordinary Annuity Payment formula:

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

Where:

Explanation: The formula calculates the fixed payment amount required to fully amortize a loan over the specified number of periods at the given interest rate.

3. Importance of PMT Calculation

Details: Accurate payment calculation is crucial for financial planning, budgeting, loan comparisons, and ensuring borrowers can afford their debt obligations.

4. Using the Calculator

Tips: Enter the present value (loan amount), interest rate as a percentage, and number of payment periods. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between ordinary annuity and annuity due?
A: Ordinary annuity payments are made at the end of each period, while annuity due payments are made at the beginning of each period.

Q2: How does interest rate affect the payment amount?
A: Higher interest rates result in higher payment amounts, as more money goes toward interest rather than principal.

Q3: What happens if I make extra payments?
A: Extra payments reduce the principal balance faster, potentially shortening the loan term and reducing total interest paid.

Q4: Are there limitations to this calculation?
A: This assumes fixed interest rates and equal payment amounts throughout the loan term. It doesn't account for variable rates, fees, or payment changes.

Q5: Can this be used for investment calculations?
A: Yes, the same formula can be used to calculate regular investment contributions needed to reach a future savings goal.

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