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Ordinary Annuity Calculator Future Value of Investment

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 in the future, given a specific interest rate. It's commonly used for retirement planning, savings goals, and investment analysis.

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 (ordinary annuity).

3. Importance of Future Value Calculation

Details: Calculating future value helps in financial planning, comparing investment options, and understanding how regular savings can grow over time with compound interest.

4. Using the Calculator

Tips: Enter the periodic payment amount in dollars, the interest rate per period as a decimal (e.g., 0.05 for 5%), and the 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. Annuity due has slightly higher future value.

Q2: How does compounding frequency affect the calculation?
A: The calculator uses the periodic rate - make sure to adjust annual rates to match your payment frequency (divide annual rate by number of periods per year).

Q3: Can I use this for monthly savings calculations?
A: Yes, just use the monthly interest rate (annual rate ÷ 12) and number of months as periods.

Q4: What if my payments increase over time?
A: This calculator assumes constant payments. For growing annuities, a different formula is needed.

Q5: How accurate is this calculation for real-world scenarios?
A: It provides a mathematical projection assuming constant rates and payments. Actual results may vary due to changing rates, fees, or payment amounts.

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