DEFINITION of 'Future Value Of An Annuity'
The value of a group of payments at a specified date in the future. These payments are known as an annuity, or set of cash flows. The future value of an annuity measures how much you would have in the future given a specified rate of return or discount rate. The future cash flows of the annuity grow at the discount rate, and the higher the discount rate, the higher the future value of the annuity.
This calculation is useful for determining the actual cost of an annuity to the issuer:
C = Cash flow per period
i = Interest rate
n = Number of payments
This calculates the future value of an ordinary annuity. To calculate the future value of an annuity due, multiply the result by (1+i). (Payments start immediately instead of one period into the future.)
INVESTOPEDIA EXPLAINS 'Future Value Of An Annuity'
The basis is that providing a lump sum of $5,000 today costs more than providing a cash flow of $1,000 per year for five years. This is because if you provide the lump sum today, you could have invested it and received an additional return.
Using this example, and assuming a discount rate of 6%, the future value of an annuity that pays $1,000 per year for five years is $4,212 (1,000*[(1+0.06)^{5}1/0.06]=5,637). This means that if you could get a return on your invested funds of 6% per year, providing an annuity of $1,000 per year would be worth $637 ($5,637$5,000) more to the issuer than giving a lump sum.

Discount Rate
The interest rate charged to commercial banks and other depository ... 
Dedication Strategy
A method by which the anticipated returns on an investment portfolio ... 
Annuity Table
A method for determining the present value of a structured series ... 
Annuity
A financial product sold by financial institutions that is designed ... 
Annuity Due
An annuity whose payment is to be made immediately, rather than ... 
Future Value  FV
The value of an asset or cash at a specified date in the future ...

Investing Basics
Calculating The Present And Future Value ...

Investing Basics
Understanding The Time Value Of Money

Home & Auto
An Overview Of Annuities

Options & Futures
Selecting The Payout On Your Annuity