The formula to calculate the Future Value of a Present Sum given the Number of Periods is:
\[ FV = PV \cdot \exp(\%RoR \cdot nPeriods \cdot 0.01) \]
Where:
Future Value is the calculated future value of any investment.
Present Value is the value that determines the value of a series of future periodic payments at a given time.
Rate of Return is the gain or loss on an investment over a specified time period, expressed as a percentage of the investment’s cost.
Number of Periods is the periods on an annuity using the present value, periodic payment, and periodic rate.
Let's assume the following values:
Using the formula:
\[ FV = 100 \cdot \exp(4.5 \cdot 2 \cdot 0.01) \]
Evaluating:
\[ FV = 109.42 \]
The Future Value is 109.42.
| Present Value | Rate of Return (%) | Number of Periods | Future Value |
|---|---|---|---|
| 90 | 4% | 1 | 93.67 |
| 90 | 4% | 2 | 97.50 |
| 90 | 4% | 3 | 101.47 |
| 90 | 4.5% | 1 | 94.14 |
| 90 | 4.5% | 2 | 98.48 |
| 90 | 4.5% | 3 | 103.01 |
| 90 | 5% | 1 | 94.61 |
| 90 | 5% | 2 | 99.47 |
| 90 | 5% | 3 | 104.57 |
| 95 | 4% | 1 | 98.88 |
| 95 | 4% | 2 | 102.91 |
| 95 | 4% | 3 | 107.11 |
| 95 | 4.5% | 1 | 99.37 |
| 95 | 4.5% | 2 | 103.95 |
| 95 | 4.5% | 3 | 108.73 |
| 95 | 5% | 1 | 99.87 |
| 95 | 5% | 2 | 104.99 |
| 95 | 5% | 3 | 110.37 |
| 100 | 4% | 1 | 104.08 |
| 100 | 4% | 2 | 108.33 |
| 100 | 4% | 3 | 112.75 |
| 100 | 4.5% | 1 | 104.60 |
| 100 | 4.5% | 2 | 109.42 |
| 100 | 4.5% | 3 | 114.45 |
| 100 | 5% | 1 | 105.13 |
| 100 | 5% | 2 | 110.52 |
| 100 | 5% | 3 | 116.18 |
| 105 | 4% | 1 | 109.29 |
| 105 | 4% | 2 | 113.75 |
| 105 | 4% | 3 | 118.39 |
| 105 | 4.5% | 1 | 109.83 |
| 105 | 4.5% | 2 | 114.89 |
| 105 | 4.5% | 3 | 120.18 |
| 105 | 5% | 1 | 110.38 |
| 105 | 5% | 2 | 116.04 |
| 105 | 5% | 3 | 121.99 |
| 110 | 4% | 1 | 114.49 |
| 110 | 4% | 2 | 119.16 |
| 110 | 4% | 3 | 124.02 |
| 110 | 4.5% | 1 | 115.06 |
| 110 | 4.5% | 2 | 120.36 |
| 110 | 4.5% | 3 | 125.90 |
| 110 | 5% | 1 | 115.64 |
| 110 | 5% | 2 | 121.57 |
| 110 | 5% | 3 | 127.80 |