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Annual Annuity Payment Calculator

Annual Annuity Payment Formula:

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

$
decimal
years

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1. What is Annual Annuity Payment?

The annual annuity payment represents the fixed periodic payment amount required to pay off a loan or investment over a specified period at a given interest rate. It is commonly used in mortgage calculations, retirement planning, and loan amortization.

2. How Does the Calculator Work?

The calculator uses the annuity payment formula:

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

Where:

Explanation: This formula calculates the fixed annual payment needed to fully amortize a loan over the specified period, accounting for both principal repayment and interest charges.

3. Importance of Annuity Payment Calculation

Details: Accurate annuity payment calculation is essential for financial planning, budgeting loan repayments, retirement income planning, and comparing different financing options.

4. Using the Calculator

Tips: Enter the principal amount in dollars, annual interest rate as a decimal (e.g., 0.05 for 5%), and number of years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between annuity and perpetuity?
A: An annuity has a fixed term with payments ending after a specified period, while perpetuity payments continue indefinitely.

Q2: Can this calculator be used for monthly payments?
A: This calculator provides annual payments. For monthly payments, divide the annual rate by 12 and multiply years by 12.

Q3: What happens if interest rates change?
A: This calculation assumes a fixed interest rate. Variable rates would require recalculating payments as rates change.

Q4: How does the payment change with different terms?
A: Longer terms typically result in lower annual payments but higher total interest paid over the life of the loan.

Q5: Is this suitable for investment annuities?
A: Yes, this formula works for both loan repayments and investment annuity payments, though specific products may have additional features.

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