Skip to main content

Future Value of Annuity

Quick answer

FV = PMT × ((1+r)^n − 1) ÷ r: 500 monthly for 8 years at 7% accumulates ≈64,100 — deposits of 48,000 plus ≈16,100 growth.

  • Built for quick, repeated daily use.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How the Future Value of Annuity Calculator Calculates Results

FV = PMT × ((1 + r)^n − 1) ÷ r

The future value of an annuity projects what equal periodic deposits become at a given rate. It is the standard engine behind retirement and savings projections. Mathematically, the engine applies FV = PMT × ((1 + r)^n − 1) ÷ r. Depositing 500 monthly for 8 years at 7% annual (r = 0.005833, n = 96): FV = 500 × ((1.005833)^96 − 1) ÷ 0.005833 ≈ 64,100 — your 48,000 of deposits plus ≈16,100 of compounding. Everything you enter stays in your browser, and the answer appears in the same units as your inputs the moment the figures are complete.

  1. 1

    Step 1

    Fill in each input field with your own data.

  2. 2

    Step 2

    The tool runs the formula FV = PMT × ((1 + r)^n − 1) ÷ r on your figures.

  3. 3

    Step 3

    Review the result displayed on screen.

  4. 4

    Step 4

    Refine the inputs until the numbers fit your case.

Use Cases

Retirement projection

Extending monthly contributions to a target date

Education fund tracking

Projecting school savings to enrollment

Sinking fund sizing

Checking the deposit that meets a future bill

Goal-date auditing

Verifying a plan still lands after rate changes

Common Mistakes

  • Annual rate with monthly deposits

  • Ignoring inflation

  • Assuming returns are smooth

FAQs

What if deposits are at the start of each month?

That is an annuity due: multiply the result by (1+r) — ≈64,475 here, a +0.58% edge per payment period.

How do I include an existing balance?

Grow it separately at P(1+r)^n and add: 5,000 already saved becomes ≈8,750 in 8 years at 7%, lifting the total to ≈72,850.

What is the math behind the Future Value of Annuity Calculator?

The Future Value of Annuity Calculator applies FV = PMT × ((1 + r)^n − 1) ÷ r, where PMT is the periodic deposit, r the periodic rate and n the deposits.

Can I use it on my phone?

The Future Value of Annuity Calculator works on phones, tablets and desktop screens alike, with the same instant results everywhere.

Related tools

Pick another tool to continue your calculation.

📉

Present Value of Annuity Calculator

Calculate present value of future payment series.

🌱

Growing Annuity Calculator

Calculate present value of growing annuity.

💼

Commission Calculator – Sales

Calculate sales commission.

🌱

Compound Growth Rate Calculator

CAGR = (ending ÷ beginning)^(1 ÷ years) − 1: 8,000 growing to 15,737 in 10 years is a 7% compound annual growth rate — 1.97× overall.

💳

Compound Cost of Fees

Calculate total cost with recurring compounding fees.

🔄

Compounding Frequency Comparison

Compare compound interest at different frequencies.