# NPV – Formula, Meaning & Calculator

Last Updated on May 13, 2023 by Kanakkupillai

## NPV – Formula, Meaning & Calculator

The NPV, which stands for Net Present Value is a financial analysis technique which is majorly used for analysing the viability of an investment in a project or a firm. The difference between the present value of future cash flows and the initial investment is the NPV of future cash flows.This article has been written with an intention to provide you with a detailed view and computation of NPV.

## Meaning of Net Present Value

As a company grows, it must make key decisions that require significant capital expenditure. An organisation must make well-informed judgments about business expansion & investment. In such circumstances, the firm will use Capital Budgeting tools, which are one of the most often used NPV methods, to determine the most profitable investment.
Net present value is a capital budgeting measure used to assess a project’s or an investment’s profitability. The difference between the present value of cash inflows and present value of cash withdrawals which is outflowing from the entity over a period of time is used to compute it.
Net present value is the net off of the present value of cash inflows and outflows by discounting the cash inflows at a predetermined rate, as is implied by the name.
The formula for computing NPV would be as given below:
NPV = Rt/(1+i) t
Here,
t = Time of the cash flow
i = Rate of Discount
Rt = Net Cashflow
As it is implied in the above given formula, we must discount the cash flows at a specific rate in order to compute their present value. This rate is calculated by comparing the return on an investment with a similar risk or borrowing cost that might be incurred by the entity.
The time value of money is used into the computation of NPV. Simply expressed, the time value of money states that a rupee is worth more now than tomorrow. The present value of the cash flows is used to analyse if a project is worthwhile.The initial investment is deducted after discounting the cash flows across various time periods to which they belong.
The project would be taken up or accepted by the entity, if the result has a positive NPV. And it shall be rejected if the project is showing off a result of negative NPV.
And if the NPV is zero, the company will remain in a neutral or indifferent state.

## Illustration for NPV

Say X Ltd. is looking to take up a new project and for this it will have to make an initial investment of INR 10,00,000. The investment is expected to bring an inflow of cash in a span of 5 years. And the cash inflow during first year will be INR 1,50,000, second year would be INR 2,00,000, third year will be INR 2,85,000, fourth year will be INR 3,50,000 and lastly in fifth year it shall earn a cash inflow of INR 4,65,000. Here assume that the discount rate is 10%. Using this the NPV computation would be made as below:

 Year Cash Inflow Computation at 10% Present Value 0 (10,00,000) – (10,00,000) 1 1,50,000 1,50,000/ (1.10)1 1,36,363.64 2 2,00,000 2,00,000/ (1.10)2 1,65,289.26 3 2,85,000 2,85,000/ (1.10)3 2,14,124.72 4 3,50,000 3,50,000/ (1.10)4 2,39,054.71 5 4,65,000 4,65,000/ (1.10)5 2,88,728.42

Now with the initial investment of INR 10,00,000 made by the company in the project and the cash inflows earned during each year, the total of the same would-be INR 14,50,000. But each of them has been discounted using the rate of return at 10%. And thus, it gives an earning of INR 1,36,363.64 during the first year, INR 1,65,289.26 for the second year, INR 2,14,124.72 for the third year, INR 2,39,054.71 during the fourth year and INR 2,88,728.42 during the final year totalling to INR 10,43,561.
And here, the NPV will be equal to the difference between the present value of cash inflows and the cash outflows which will be INR 43,561 [INR 10,43,561 – INR 10,00,000]. As this is a positive NPV, the company should take up the project.

## Benefits Of Using NPV

Following are some of the benefits which are provided by NPV:

### 1. A comprehensive tool

All inflows, outflows, associated risks and time duration, are factored into the net present value calculation. As a result, NPV is a complete tool that takes into account all factors involved in an investment.

### 2. Time Value of Money

The NPV or the net present value approach is a tool which is used for determining a project’s profitability that can be earned by the entity with the investment it is making in the same. It takes the major concept that is the time value of money into account. This is majorly considered for addressing the fact that the value of future cash flows will be lower than the value of today’s cash flows. As a gain from the same, the greater the cash flow is the lower the value will be. This is a critical factor that should be taken into account when using the NPV approach.
This allows the organisation to compare two similar projects in a sensible and prudent manner. For example, if Project A with a life of 4 years has higher cash flows in the initial period and Project B with a life of 4 years has higher cash flows in the latter period, the organisation can use NPV to wisely choose Project A because inflows today are more valuable than inflows later on.

### 3. Value of Investment to be made

The Net Present Value approach not only determines whether or not a project will be lucrative, but also determines the entire profit value. After discounting the cash flows, the project will gain INR 43,561, as depicted in the example discussed above. The tool calculates the profit or loss on an investment which the company is making in a project or opportunity kept before it.