# Future Value of an Annuity Calculator

An annuity, as used here, is a series of regular, periodic payments to or withdrawals from an investment account. Wikipedia lists these examples of annuities "regular deposits to a savings account, monthly home mortgage payments, monthly insurance payments, and pension payments." We can classify annuities by the frequency of the cash flow dates. The investor may make deposits (withdrawals, payments) weekly, monthly, quarterly, yearly, or at any other regular interval of time. This calculator supports eleven frequencies.

The future value of an annuity is the amount the cash flow will be worth as of a future date. Due to the investment gain or interest earned on the principal (the amount deposited), the final value is greater than the sum of the deposits.

This future value of an annuity (FVA) calculator calculates what the value will be as of any future date. The calculator optionally allows for an initial amount that is not equal to the periodic deposit. This feature enables the user to calculate the FVA for an existing investment.

If the investment is a new investment set the "Starting Amount (PV)" to 0.

This FVA calculator also calculates the future value after a series of withdrawals. If you start with $1,000,000 and assume it earns 4.0% per year, the calculator will calculate the value after 30 years of $5,000 monthly withdrawals. To indicate a withdrawal, enter a negative amount.

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## Future Value Schedule Help

Money, in any form (cash, investments, receivables, etc.) will have a different value tomorrow or next month or next year than it does today. Even money stuffed in a mattress won't have the value in a year from now as it does today. That value is known as the "future value."

You must enter either a "Starting Amount" (the cash-on-hand) or the "Regular Contribution Amount" or both. Set how often you add to your investment by setting the "Contribution Frequency". If you set the "Contribution Frequency" to monthly and enter 120 for "Number of Contributions" then the "Future Value" will be for the date 10 years from the "First Contribution Date" (120 monthly contributions = 10 years).

A note or two about "Compounding Frequency". Selecting he "Exact/Simple" option sets the calculator so it will not compound the interest. Also, the exact number of days between withdrawal dates is used to calculate the interest for the period. The "Daily" option uses the exact number of days between dates, but daily compounding is assumed. (The interest earned each day is added to the principal amount each day.) The "Exact/Simple" compounding option is the most conservative setting. That is, using it will result in the lowest future value. Daily compounding will result in nearly the greatest future value (except for "Continuous Compounding".

The other compounding frequencies are based on periods of time other than days. Each period is assumed to be of equal length for the purposes of interest calculations. That is, assuming a balance of $10,000, the interest earned for January will be the same interest earned for February given the same interest rate.

NOTE: The future value maybe lower than the value reflected today — think inflation. To reflect that fact, simply use a negative interest.

## W S Beckwith says:

Very nice tool. Just wish you had the capability to show negative values in your Balance/FV column. Thanks!

## Karl says:

Thanks for the compliment.

Here’s another calculator – the Ultimate Financial Calculator that will probably do what you want (I say probably because I’m not sure what you need besides the negative balance.

If you try it, scroll down the page and you’ll there’s a number of tutorials.

Assuming you have some amount call it "X", and you want to make withdrawals, set the Schedule Type to "savings". Create two rows, the first row as a deposit with value "X" and the second row with value "Y" for the number of withdrawals you expect. If Rounding (under settings) is set to "Open Balance", the balance will go negative.

Let me know if there are other details, and I’m sure we can work through them.