Present and Future Value
Future value is the value of an asset at a specific date, assuming a certain interest rate or, more generally, rate of return.
The future value equals the present value times the sum of 1 and the interest rate divided by the compounding frequency taken to the power of the compounding frequency times the interest periods.
Formula
![Copy to Clipboard QuantityVariable["FV", "Money"] == (1 + QuantityVariable["i", "Unitless"]/QuantityVariable["f", "Unitless"])^(QuantityVariable["f", "Unitless"]*QuantityVariable["n", "Unitless"])*QuantityVariable["PV", "Money"]](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/a87/a8791a28-9820-4e47-96a4-3d14c9b8765c/Webpage/FormulaImage.png)
| symbol | description | physical quantity |
|---|---|---|
| FV | future value | "Money" |
| f | compounding frequency | "Unitless" |
| i | interest rate | "Unitless" |
| n | interest periods | "Unitless" |
| PV | present value | "Money" |
Forms
Examples
Get the resource:
| In[1]:= |
| Out[1]= | ![]() |
Get the formula:
| In[2]:= |
| Out[2]= |
Use some values:
| In[3]:= | ![]() |
| Out[3]= |

![FormulaData[
ResourceObject[
"Present and Future Value"], {QuantityVariable["f","Unitless"] ->
None, QuantityVariable["n","Unitless"] -> 5,
QuantityVariable["i","Unitless"] -> Quantity[6.`, "Percent"],
QuantityVariable["PV","Money"] -> Quantity[747.26, "USDollars"]}]](images/a87/a8791a28-9820-4e47-96a4-3d14c9b8765c-io-3-i.en.gif)