### FV Function Excel

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*This tutorial demonstrates how to use the Excel FV Function in Excel to calculate the future value of an investment.*

## FV Function Overview

The FV Function Calculates the future value.

To use the FV Excel Worksheet Function, select a cell and type:

(Notice how the formula inputs appear)

### FV Function Syntax and Inputs:

1 |
=FV(rate,nper,pmt,[pv],[type]) |

**rate** – It’s the interest rate for each period. For example, if a housing loan is obtained at an annual interest rate of 9% and payments are made monthly. Then the interest rate needed to be calculated in months and then entered into the formula. In this case, the interest rate would be 9%/12, or 0.75%, or 0.0075.

**nper** – It’s the total number of payment periods. For example, if the housing loan was for 5 years and the payments are being made monthly. Then the total number of periods would be 5*12 or 60.

**pmt** – It’s the payment per period. Usually, it can be the principal amount and interest but doesn’t include taxes or other fees. For example, the monthly payments of five years of housing loan of $20,000 at an interest rate of 9% are $415.17. The PV argument must be provided in case pmt is omitted from the formula.

**pv** – OPTIONAL: It’s the present value of the investment or the amount that the future payments are worth now. If the PV argument is omitted, it’s assumed to be zero (0). The pmt argument must be provided in case PV is omitted.

**type** – OPTIONAL: The value of this argument is either 0 or 1, which shows if the payment is due at the end of the period, 0 and the beginning of the period, 1. If the type argument is omitted then its default value is considered 0 i.e. the payment is due at the end of the period.

**What Is Future Value?**

It’s the value of the investment at a particular date in the future that is equivalent in value to a specified sum today.

The Future Value is calculated in two ways:

- Future Value Using Simple Annual Interest Rate is calculated as:

- Future Value Using Compounded Annual interest Rate is calculated as:

Where:

I = Invested Amount

R = Interest Rate

T = Number of periods

**What Is Excel FV Function?**

FV is used to determine how much the investment will be worth at the end of the given period if there are regular and constant deposits at constant interest rates.

**Example 1**

Suppose, we deposited $1,000 for 4 years into a savings account. The interest we get from this was 8% annually, which was compounded monthly and with no additional payments.

The annual interest rate is converted into monthly interest as

Monthly Interest **Rate **– 8% (annual interest rate) / 12 (months per year) = 0.67%

and the number of payments per period is converted into the monthly number of payments as

**NPER** – 5 (years) * 12 (months per year) = 60

No regular payments are being made, so the value of *pmt* argument is

**PMT** = 0

The present value of the investment is with a negative sign because it shows outgoing cash in the example and its value is

**PV** = -$1,000

And the type of the payments isn’t mentioned in the example, so the *[type] *argument is simply omitted or have default value i.e.

**Type** = 0

The Future Value of the investment is

**FV** = $1,493

**Example 2**

Let’s take a look at another example, where $10,000 has been invested at 10% compounded monthly for 4 years. And on top of the initial deposit, an additional amount of $500 are planned to be invested each month for the next four years. So the future value of the total savings would be calculated with the help of excel FV Formula.

As the payments are made monthly, the annual interest rate is converted into monthly interest by

Monthly Interest **Rate **– 10% (annual interest rate) / 12 (months per year) = 0.83%

and the number of payments per period is converted into the monthly number of payments by

**NPER** – 4 (years) * 12 (months per year) = 48

The regular payments are entered with a negative sign as it shows cash is going out and its value is

**PMT** = -$500

The present value of the investment is also with a negative sign because it shows outgoing cash in the example and its value is

**PV** = -$10,000

And the type of the payments isn’t mentioned in the example, so the *[type] *argument is simply omitted or have default value i.e.

**Type** = 1

So, the accumulated amount at the end of the 4^{th} year would be

**FV** = $44,206

**FV in Google Sheets**

All of the above examples work exactly the same in Google Sheets as in Excel.

## Additional Notes

Use the FV Function to calculate the Future Value of an investment.

Investopedia defines future value as: *The value of an asset or cash at a specified date in the future that is equivalent to a specified sum today.*

Make sure the units of nper and rate are consistent, i.e. in case of monthly interest rate the number of periods of investment should also be in months.

In the Financial Functions the cash outflows, such as deposits, are represented by negative numbers and the cash inflows, such as dividends, are represented by positive numbers.

## FV Examples in VBA

You can also use the FV function in VBA. Type:

`application.worksheetfunction.fv(rate,nper,pmt,pv,type)`

For the function arguments (rate, etc.), you can either enter them directly into the function or define variables to use instead.

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