November 26, 2024
6 mins read
Net present value (NPV) and internal rate of return (IRR) are tools used to assess the profitability of projects. NPV focuses on the present value of expected cash flows, while IRR identifies the discount rate at which those values balance out. Each metric highlights different aspects of a project. Because of this, they are often reviewed together rather than in isolation.
When projects are evaluated for financial viability, net present value (NPV) and internal rate of return (IRR) are usually part of the discussion. Both are used to assess profitability, though they look at it from different angles.
These measures often come up when a company is deciding whether to take on a new project. They are also used when several options exist and a comparison becomes necessary.
At a basic level, NPV and IRR are easy to define. Applying them, however, is less straightforward. Future cash flows need to be estimated, and time plays a role that cannot be ignored.
Net present value, or NPV, is used to understand whether an investment adds value after adjusting for time. It compares future cash inflows with the investment required today.
The reason for this adjustment is simple. Money received in the future does not carry the same value as money available now. That difference matters when decisions span several years.
NPV brings everything back to today’s terms. It expresses the net outcome as a single monetary figure.
NPV is calculated using the following formula:
NPV = ∑ [Cash Flow / (1 + r)ᵗ] − Initial Investment
In this formula, “r” represents the discount rate and “t” refers to the time period. Each future cash flow is adjusted before being added together.
Once the discounted inflows are totalled, the initial investment is deducted. The resulting number reflects the project’s value in present terms.
Internal rate of return, commonly called IRR, refers to the discount rate at which a project’s net present value becomes zero. At this point, inflows and outflows balance.
To visualise this, imagine a project generating cash over many years. Those amounts are discounted until they equal the initial investment.
The rate that achieves this balance is the IRR. It expresses performance as a percentage rather than a value.
IRR is calculated using the following formula:
0 = CF₀ + CF₁/(1+IRR)¹ + CF₂/(1+IRR)² + … + CFn/(1+IRR)ⁿ
CF₀ represents the initial investment and is usually negative. CF₁ to CFn are the expected cash flows over time.
IRR is found by setting NPV to zero and solving for the rate. In practice, this often involves repeated calculation rather than a direct formula.
Criteria | Net Present Value (NPV) | Internal Rate of Return (IRR) |
Definition | Difference between discounted inflows and outflows | Discount rate where NPV equals zero |
Expression | Monetary value | Percentage |
Inputs required | Cash flows and discount rate | Cash flows only |
Multiple solutions | One value | Possible in certain cases |
Usage context | Shows value created | Shows rate of return |
Both measures are widely used in financial analysis. They answer different questions, which is why neither fully replaces the other.
NPV stands for the difference between the present values of cash inflows and cash outflows from a project. However, a project’s IRR is the rate at which its NPV is equal to zero.
NPV is calculated by using the following formula:
NPV = [Cash flow/(1+i)t] – Initial Investment
If a project’s NPV is positive, it usually means that it is worth investing in. As NPV helps us make investment-related decisions, it is extremely important.
If you have multiple projects to choose from and they are of different sizes, NPV is better than IRR. Being a monetary indicator, NPV will clearly tell you how much you will earn in absolute terms from a project, which IRR cannot because it is expressed in percentage. However, if you are comparing projects of similar sizes and cashflow patterns, IRR is a better indicator than NPV. In such a case, you can select the project with a higher IRR.
At times, a project can have two IRRs, which can confuse a decision-maker. Moreover, when you are comparing two projects with vastly different sizes, IRR may not help. This is because a project with a higher IRR may have a lower NPV.
Yes, at times, NPV and IRR can give conflicting results. Suppose you have two projects to choose from. Project A needs an initial investment of ₹100 crore and Project B needs an initial investment of ₹10 crore. Let us say that Project B’s IRR is 15%, while Project A’s IRR is 10%. As per IRR, Project B should be preferred over Project A. However, what if Project A has a higher NPV than Project B? In that case, as per NPV, Project A should be preferred over Project B.
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Content Partner - Dalal Street Investment Journal Wealth Advisory Private Limited
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