Present Discounted Value Formula
Before learning what is the present discounted value formula, let us recall what is a discount. Discount refers to the price lower than the actual price of the commodity. The present discounted value formula is used to find the present discount value against a particular future amount received in a year from the current date.
What is the Present Discounted Value Formula?
The present discounted value formula is represented in terms of the future value, rate of return, and the number of periods. It is given as:
\(PV= \dfrac{FV}{(1+r)^n}\)
Where,
 PV = present value
 FV = future value
 R = rate of return
 n = number of periods
Let us see the applications of the present discounted value formula in the following section.
Solved Examples Using Present Discounted Value Formula

Example 1: What is the present value of $500 received in 3 years if the rate of interest is 10% per annum discounted annually?
Solution:
To find: The Present Value.
Given,
Future value = $500
Time = 3 years
Rate = 0.10
Using present discounted value formula,
\(PV= \dfrac{FV}{(1+r)^n}\)
\(PV= \dfrac{500}{(1+0.10)^3}\)
\(PV= 375.66\)
Answer: The present value is $375.66

Example 2: What is the present value of $500 received in 3 years if the rate of interest is 10% per annum discounted semiannually?
Solution:
To find: The Present Value
Given,
Future Value = 500
Time = 3×2 = 6 years (as the rate is discounted semiannually)
Rate = 0.10
Using present discounted value formula,
\(PV= \dfrac{FV}{(1+r)^n}\)
\(PV=\dfrac{500}{(1+0.10)^6}\)
= 282.24
Answer: The present value is $282.24