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Ordinary Annuity Calculator Future Value of Money

Ordinary Annuity Future Value Formula:

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

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1. What is Ordinary Annuity Future Value?

The future value of an ordinary annuity calculates how much a series of equal payments made at the end of each period will be worth at a future date, given a specific interest rate. It's a fundamental concept in time value of money calculations.

2. How Does the Calculator Work?

The calculator uses the ordinary annuity future value formula:

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

Where:

Explanation: The formula accounts for compound interest on each payment, with payments made at the end of each period.

3. Importance of Future Value Calculation

Details: Calculating future value helps in retirement planning, investment analysis, loan amortization, and other financial decisions involving periodic payments.

4. Using the Calculator

Tips: Enter periodic payment in currency units, interest rate as decimal (e.g., 0.05 for 5%), and number of periods. All values must be positive.

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.

Q2: How does compounding frequency affect the calculation?
A: The rate (r) and periods (n) must match the payment frequency (e.g., monthly payments need monthly rate and periods).

Q3: Can this be used for irregular payments?
A: No, this formula only works for equal periodic payments. Uneven payments require separate future value calculations for each payment.

Q4: What if the interest rate changes over time?
A: This formula assumes a constant rate. For changing rates, you'd need to calculate each period separately.

Q5: How is this different from present value calculation?
A: Future value calculates what payments will be worth later, while present value calculates what future payments are worth now.

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