Present Value Factor Formula

Financial Modeling Tutorials

Present Value Factor Formula (Table of Contents)

Present Value Factor Formula
Present Value Calculator
Present Value Template

Present value factor deals with the idea of time value for money by trying to estimate the current value per dollar to be received at a future date. The underlying idea is that any amount received today is of greater value than if that same amount were to be received on a future date since it can be reinvested to increase the overall earnings.

r = rate of return
n = number of periods

Derivation of Present Value Factor Formula

This is the original formula for PV factor from which the formula we have presented above is derived.

Here, FV = Future Value
r = rate of return
n = number of periods

Recommended Courses

Examples of Present Value Factor Formula

Suppose, if someone were to receive $1000 after 2 years, calculated with a rate of return of 5%. Now, the term or number of periods and the rate of return can be used to calculate the PV factor for this sum of money with the help of the formula described above.

PV factor = 1 / (1+r)ⁿ = 1/(1+0.05)² = 0.907

Now, multiplying the sum of $1000 to be received in future by this PV factor, we get:

$1000 x 0.907 = $907

This means that $907 is the current equivalent of the sum of $1000 to be received after 2 years with a rate of return of 5% and it could be possible to reinvest this sum of $907 somewhere else to receive greater returns.

Explanation of PV factor Formula

Present value factor formula is centered on the idea of assessing if an ongoing investment can be encashed and utilized better to enhance the final outcome as compared to an original outcome which can be had with the current investment. With a view to estimating what would be the current value of a certain sum to be received on a future date, we need two factors, namely, the time interval after which the sum is to be received and the rate of return for the same. These two factors can then be used to calculate present value factor for any given sum to be received on any given future date.

This PV factor would help calculate the current equivalent amount for the future sum in terms of time value for money and then it is used to calculate how better returns can be achieved by reinvesting this current equivalent in a relatively better avenue.

Use of Present Value Factor Formula

This concept of PV factor can be of great use in estimating if a current investment would be worth continuing with, or a portion of it can be received today and reinvested to receive greater returns. If one finds that present value of the sum to be received in the future can yield higher returns in an alternative investment, it shed further light on the value of a current investment and any viable alternatives. This would potentially be of great help in making better-informed investment decisions.

Present Value Factor Calculator

You can use the following Present Value Factor Calculator.

r
n
Present Value Formula =

Present Value Formula =

1
	=
(1 + r)ⁿ

1
	=	0
(1 + 0)⁰

Present Value Factor Formula in Excel (with excel template)

Let us now do the same example above in Excel. This is very simple. You need to provide the two inputs of Rate of Returns and Number of Periods.

You can easily calculate the Present Value Factor in the template provided.

You can download this PV factor template here – Present Value Factor Excel Template

Present Value Factor Formula

Present Value factor Formula