Net Present Value (NPV) Calculator

Net Present Value (NPV) Concept

Net Present Value (NPV)

In finance, the net present value (NPV) or net present worth (NPW) is defined as subtracting present values (PV) of cash outflows (including initial cost) from the present values of cash inflows over a period of time. We can call incoming cash flows as benefit cash flows. We can also call outgoing cash flows as cost cash flows [1].

Internal Rate of Return (IRR)

The internal rate of return (IRR) is described as calculating rate of return. The term internal means that its calculation is not related with environmental factors like the interest rate or inflation. If NPV becomes zero, a rate of return is the internal rate of return [2].

Net Present Value (NPV) Formula - How to Calculate NPV

Let

\( C_i \) = Net cash inflow during the period i
\( R \) = Discount rate
\( T \) = Number of Periods

We have

One can use numerical methods to calculate \( IRR \) by approximating \( R \) in the equation \( NPV(R) = 0 \).

Examples

Example 1

Input

Period = 4
Discount Rate = 10%
Cash Flow 0 = -2000
Cash Flow 1 = 100
Cash Flow 2 = 100
Cash Flow 3 = 2600

Output

Net Present Value = 126.972
Internal Rate of Return = 12.382%

Example 2

Input

Period = 4
Discount Rate = 5%
Cash Flow 0 = -123400
Cash Flow 1 = 36200
Cash Flow 2 = 54800
Cash Flow 3 = 48100

Output

Net Present Value = 2331.994
Internal Rate of Return = 5.962%

References

1. Net present value (n.d.). Retrieved August 18, 2016, from https://en.wikipedia.org/wiki/Net_present_value

2. Internal rate of return (n.d.). Retrieved August 18, 2016, from https://en.wikipedia.org/wiki/Internal_rate_of_return