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Ordinary Annuity Calculator Future Value

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. This is commonly used for retirement planning, savings accounts, and loan 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 each payment compounding for one fewer period than the previous one.

3. Importance of Future Value Calculation

Details: Calculating future value helps in financial planning, determining how much savings will grow over time, and comparing different investment options.

4. Using the Calculator

Tips: Enter the periodic payment amount in dollars, interest rate per period in decimal form (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. Annuity due has higher future value as each payment compounds for an extra period.

Q2: How does compounding frequency affect the calculation?
A: The formula assumes the payment frequency matches the compounding frequency. For different frequencies, adjust the rate and periods accordingly.

Q3: What if the interest rate is zero?
A: When r=0, the formula simplifies to FV = PMT × n, as there's no compounding.

Q4: Can this be used for monthly savings calculations?
A: Yes, just ensure the interest rate is the monthly rate and n is the number of months.

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

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