That’s because $10,000 today is worth more than $10,000 received over the course of time. In other words, the purchasing power of your money decreases in the future. Using the same example of five $1,000 payments made over a period of five years, here is how a present value calculation would look. It shows that $4,329.58, invested at 5% interest, would be sufficient to produce those five $1,000 payments.

The process to calculate FV using a calculator or spreadsheet works in exactly the same manner as the PV calculations, except you would use the FV formula and appropriate inputs to find your result. You may be considering purchasing an annuity product and want to know how much your annuity would be worth at some point in the future based on what you can afford to pay into it each month. Spreadsheets such as Microsoft Excel work well for calculating time-value-of-money problems and other mathematical present value of annuity table equations. You can type the equation yourself or use a built-in financial function that walks you through the formula inputs. When you calculate the present value (PV) of an annuity, you’ll be able to find out the value of all the income the annuity’s expected to generate in the future. An annuity’s future value is also affected by the concept of “time value of money.” Due to inflation, the $500 you expect to receive in 10 years will have less buying power than that same $500 would have today.

## Present Value of a Growing Perpetuity (g = i) (t → ∞) and Continuous Compounding (m → ∞)

As you might imagine, the future value of an annuity refers to the value of your investment in the future, perhaps 10 years from today, based on your regular payments and the projected growth rate of your money. Using the present value formula helps you determine how much cash you must earmark for an annuity to reach your goal of how much money you’ll receive in retirement. The present value of a future cash-flow represents the amount of money today, which, if invested at a particular interest rate, will grow to the amount of the sum of the future cash flows at that time in the future.

The figure below illustrates the fundamental concept of the time value of money and shows the calculations in moving all of the payments to the focal date at the start of the timeline. To calculate the future value of an ordinary general annuity, we can adapt the formula originally developed for the future value of an ordinary simple annuity. However, a minor adjustment is needed before applying this formula.

## What is the Difference Between Ordinary Annuity vs. Annuity Due?

Future value (FV) is a measure of how much a series of regular payments will be worth at some point in the future, given a specified interest rate. So, for example, if you plan to invest a certain amount each month or year, it will tell you how much you’ll have accumulated as of a future date. If you are making regular payments on a loan, the future value is useful in determining the total cost of the loan.

The higher the discount rate, the lower the present value of the annuity, because the future payments are discounted more heavily. Conversely, a lower discount rate results in a higher present value for the annuity, because the future payments are discounted less heavily. In https://www.bookstime.com/ our earlier examples, we assumed that the annuities began without any initial investment, meaning the present value (PV) was zero. However, if an annuity starts with an initial lump sum investment, you must enter this amount as the present value (PV) in your calculations.