## Future Value Interest Factor (FVIF)

FVIF calculator is an online aid for quickly calculating the future value of return on the amount invested today. Future value interest factor helps in providing the future value of earnings, by multiplying the future value interest factor, to be collected at a later date for the amount invested now. It considers the effect of compounding. FVIF is always more than one in any case as the value of money keeps growing with time.

It helps determines the effective future value of cash flows based on the compounding concept of interest calculation. It is useful in the decision-making process or capital budgeting decisions.

## Formula

In order to achieve future value interest factor, consider the following formula:

**Future Value Interest Factor (FVIF)** = (1 + r)^{n}

**Future Value** = PV * FVIF

Where, PV = Present Value

r = Rate of Interest

n = Number of Compounding Periods

## About the Calculator / Features

The calculator provides future value of amount by multiplying the future value interest factor with the present value. Future Value Interest Factor Calculator is a user-friendly calculator that provides instant results of calculation by simply entering following figures:

- Present value
- Rate of interest
- Number of compounding periods

## Calculator

## How to Calculate using Calculator

Future value interest factor (FVIF) calculator quickly provides the outcome of problem on inserting following details into it:

### Interest Rate

It is the rate of interest user expects to earn on the investment.

### Number of Compounding Periods

The user has to insert the number of compounding periods for which he wants to calculate the future value. The number of years and compounding period may be different when the interest factor is not compounded annually. If the factor is compounded semi-annually, then the number of compounding periods in a year is 2. Similarly, in the case of quarterly compounding, the periods are equal to 4.

The above will give us the FV Factor. Once we get this then to determine the FV we need to multiply this with the FV factor.

### Present Value

It is the value whose future value the user wants to calculate. This can be defined as the current value of a future sum.

We can also check the FVIF from the ready table to get the FV of the investments.

## Example of FVIF

Let us take the help of a table to understand the future value interest factor concept at different rates of interest.

n↓ / r→ | 1% | 2% | 3% | 4% | 5% | 10% | 12% | 15% | 20% | 25% |

0 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |

1 | 1.01 | 1.02 | 1.03 | 1.04 | 1.05 | 1.1 | 1.12 | 1.15 | 1.2 | 1.25 |

2 | 1.02 | 1.04 | 1.06 | 1.08 | 1.10 | 1.21 | 1.25 | 1.32 | 1.44 | 1.56 |

3 | 1.03 | 1.06 | 1.09 | 1.12 | 1.16 | 1.33 | 1.40 | 1.52 | 1.73 | 1.95 |

4 | 1.04 | 1.08 | 1.13 | 1.17 | 1.22 | 1.45 | 1.57 | 1.75 | 2.07 | 2.44 |

5 | 1.05 | 1.10 | 1.16 | 1.22 | 1.28 | 1.61 | 1.76 | 2.01 | 2.49 | 3.05 |

6 | 1.06 | 1.13 | 1.19 | 1.27 | 1.34 | 1.77 | 1.97 | 2.31 | 2.99 | 3.61 |

Let us consider an example for better understanding.

Suppose we have invested $5,000 in the bank for 4 years at an interest rate of 8%. Let us calculate the future value of this investment at the end of the 4th year.

**Future Value Interest Factor** = (1 + 0.08)^{4} = 1.3605

**Future Value** = $5,000 * 1.3605 = $6,802.44

### Interpretation

The future value interest factor is also based on the concept of TVM (Time Value of Money). And is useful in real life scenarios by determining the future value today itself of amount to be received on a future date. This improvises decision making process for investments.

In the example above, with the increase in time, future value has also increased. It simply implies that as long as there is some earning or the interest rate is more than zero, the future value will keep increasing.

## Cautions

FVIF being a very important concept in decision making have some limitations too. There is a pre-assumption that the growth rate is stable. But in the real world, it can be affected by a variety of risks such as inflation, external environment, liquidity risk, and much more. Hence, the selection of discount rates is crucial and the outcome will be dependent upon that.

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