# How to Calculate Net Present Value (NPV)

A net present value calculation, in simple words, is nothing but a figure that tells if an investment is profitable or not, in 'return on investment' terms. This article will tell you how to calculate net present value (NPV) and interpret it.

**Net Present Value**

It is nothing but the times series of cash flows emanating during the entire investment period, expressed in present value figures. The value takes into account both positive and negative monetary flows, i.e., it takes into account both the investments made and the incomes generated. Using the principles of the concept of 'time value of money', all the future income cash flows are discounted to present period using a proper discount rate that takes into account all financial parameters like risk of investment, inflation rate, etc. Used in financial and economic decision making, the net present value (NPV)is a signal of whether an investment is profitable or not. If it is positive (greater than 0), the investment venture is accepted, and if it is negative (less than 0), the project is rejected. Positive NPV indicates that the concerned project has actually added some value to the firm, and a negative NPV suggests that the firm's value has eroded because of this wrong investment decision.

NPV is always a better investment appraisal method when compared to other methods like payback period and accounting rate of return (ARR), because it uses the time value of money concept that the others don't. However, the effectivity of calculating NPV is entirely dependent on which discount rate is chosen to discount the cash flows. Both artificially high and incorrectly low discount rates yield the net present value as an inefficient measure that leads to erroneous decision making. Hence, in order to correctly calculate values, one needs to research well on the discount rate to be used first. Also, as NPV does not give absolute gain or loss pictures of the project, it is always better to supplement the information provided by it with other measures like the internal rate of return (IRR).

**Calculating Net Present Value**

**The Formula**

**NPV = Initial Outlay of Cash - ∑ [ (Net Cash Flow Per Period) / (1 + i)**

^{t}]where,

t = time period of cash flow

i = discount rate (as per market risk standards)

Here is a simple step by step breakdown of how to go about calculating this value.

- The first step is to find out the initial outlay that is required to be invested by you into the concerned project. All calculations will be relative to the investment required and so it is extremely necessary that you come up with an accurate figure, inclusive of all relevant costs.
- The next step comprises projecting or forecasting the periodic cash inflows during the life of the active project. As we are specifically dealing with cash flows here, we will not take into account the non-cask expenses like depreciation per se, but as these figures are required to calculate the taxation, one needs to deduct them first to get the profit before tax and then add them back post taxation. Another thing to highlight are the terminal cash flows at the end of the project life. In the last period of the project, several additional cash flows like salvage value of machinery, etc come into picture. These and other terminal cash flows must be included in the last analysis period too. Once all the net cash flows are ready for analysis, you move on to the next step.
- Once everything for the analysis is ready, you need to get yourself a proper discount rate. You entire NPV analysis will be grossly erroneous if this one most important factor is not calculated properly. The discount rate has to be in line with the market discount rate on projects of similar risk and must be prudently in line with future expectations.
- Now all that is left is to discount all the future period cash flows to current period using the discount rate. One can either use the present value tables to look up the cash flow values or one can even do the calculations on a calculator. Once all the future cash flows are calculated, you need to total them all and net them against the initial cash outlay. One thing to note is that the current period cash outlay is already in the present period and does not require any discounting.
- After netting, the figure you have, is your NPV. If this value is positive, you have your investment worthy project in hand and if not, you will be wise to drop it.