The present value of an annuity is the sum that must be invested now to guarantee a desired payment in the future, while its future value is the total which will be achieved over time.

What Is an Annuity?

An annuity is a financial investment that generates regular payments for a set time period. In modern times, the annuity is most often purchased through an insurance company or a financial services company.

This type of investment is often used by those preparing for retirement or for a period of planned unemployment. Depending on the investor's choices, an annuity may generate either fixed or variable returns.

Annuities purchased by retirees are often sold by insurance companies. The insurance company takes a lump sum of money up front and invests it, minus the fees it charges. The investor, in return, receives an agreed sum of money at regular intervals over a period of time.

There are a variety of arrangements that can be made. Some annuities are delayed until the investor is ready to retire. Some pay until the death of the beneficiary, thus shifting the longevity risk from the beneficiary to the insurance company.

The calculation of both present and future value assume a regular annuity with a fixed growth rate. Many online calculators determine both the present and future value of an annuity, given its interest rate, payment amount, and duration.

Present Value of an Annuity

The present value of an annuity is the current value of all the income generated by that investment in the future. In more practical terms, it is the amount of money that would need to be invested today to generate a consistent income down the road. 

Using the interest rate, desired payment amount and number of payments, the present value calculation discounts the value of future payments to determine the contribution necessary to achieve and maintain fixed payments for a set time period.

For example, the present-value formula would be used to determine how much to invest now if you want to guarantee monthly payments of $1,000 for the next 10 years.

Future Value of an Annuity

The future value of an annuity represents the amount of money that will be accrued by making consistent investments over a set period, assuming compound interest.

Rather than planning for a guaranteed amount of income in the future by calculating how much must be invested now, this formula estimates the growth of savings, given a fixed rate of investment for a given amount of time.

The future-value calculation would be used to estimate the balance of an investment account, including interest growth, after making monthly $1,000 contributions for 10 years