NOPAT

Net Operating Profit After Taxes

Author: Himanshu Singh
Himanshu Singh
Himanshu Singh
Investment Banking | Private Equity

Prior to joining UBS as an Investment Banker, Himanshu worked as an Investment Associate for Exin Capital Partners Limited, participating in all aspects of the investment process, including identifying new investment opportunities, detailed due diligence, financial modeling & LBO valuation and presenting investment recommendations internally.

Himanshu holds an MBA in Finance from the Indian Institute of Management and a Bachelor of Engineering from Netaji Subhas Institute of Technology.

Reviewed By: Josh Pupkin
Josh Pupkin
Josh Pupkin
Private Equity | Investment Banking

Josh has extensive experience private equity, business development, and investment banking. Josh started his career working as an investment banking analyst for Barclays before transitioning to a private equity role Neuberger Berman. Currently, Josh is an Associate in the Strategic Finance Group of Accordion Partners, a management consulting firm which advises on, executes, and implements value creation initiatives and 100 day plans for Private Equity-backed companies and their financial sponsors.

Josh graduated Magna Cum Laude from the University of Maryland, College Park with a Bachelor of Science in Finance and is currently an MBA candidate at Duke University Fuqua School of Business with a concentration in Corporate Strategy.

Last Updated:October 5, 2023

What Is Net Operating Profit After Tax (NOPAT)?

It stands for Net Operating Profit After Taxes, and it measures a company’s profitability by ignoring the effect of debt on tax expenses. When companies take on debt, it implies tax-deductible interest expenses.

Some of the key points of NOPAT include:

  •     It is based on the income statement.
  •     Seeks to take off the tax benefit of debt.
  •     It is the building block of unlevered cash flow.

To obtain a proxy for a company’s cash generation, we must add back the interest expense while still considering the tax rate. That is what NOPAT is for. 

We add back the interest expense because we are interested in assessing the potential of cash flow generation, and a company only pays interest if it has enough cash to do so. While taxes are paid whether the company has the cash or not.

The formula for is as follows: 

NOPAT = EBIT * (1 - Tax Rate)

As far as finance theory goes, we would want to consider the company’s capital structure available to all stakeholders, not only the equity owners. That is why we add back the interest expense.

Now let’s dive into each of these terms.

1. EBIT

Stand for Earnings Before Interest and Taxes. It is used as a proxy for Operating Profit since the calculation behind each one is pretty much the same. It calculates NOPAT because it adds back the interest expense into the net income figure.

2. Tax rate

The cash paid for taxes is divided by the EBT (Earnings Before Taxes) figure. Then, we multiply EBIT by 1 minus it to arrive at NOPAT.

Key Takeaways

  • NOPAT, or Net Operating Profit After Taxes, measures a company's profitability while excluding the tax benefits of debt.
  • It's derived from the income statement and is a key component in calculating unlevered cash flow.
  • The NOPAT formula is NOPAT = EBIT * (1 - Tax Rate), where EBIT is Earnings Before Interest and Taxes.
  • NOPAT is used to determine Free Cash Flow to the Firm (FCFF) in discounted cash flow (DCF) analysis, a crucial metric for valuing companies.
  • In practical use, NOPAT is calculated by finding the cash tax expense, Earnings Before Taxes (EBT), and applying the formula to arrive at the figure.

NOPAT Calculation Example

Find the company’s tax expense (in cash). A company usually discloses this in their income statement

  1.  Identify the Earnings Before Taxes (EBT) amount
  2. Divide the tax expense in cash by the EBT figure to arrive at the tax rate.
  3. Find the EBIT figure.
    EBIT maybe just understood as operating profit. For our calculation purposes, they are the same.
  4. Now multiply the EBIT amount by one minus the tax rate, arriving at NOPAT.

Let us take an example to understand it better.

Suppose Company A has an EBT figure of $1,000 and a tax expense of $200. We can quickly conclude that the tax rate is equal to 20%.

Following the steps outlined above, we must now find the EBIT amount. For example, suppose the company has an interest expense of $ 300. By simply adding this expense to the Earnings Before Taxes, we find that EBIT equals $ 1,300.

Now, we can find Net Operating Profit After Taxes.

By plugging these values into the formula, we obtain:

NOPAT = 1300 * (1 - 0.2)

Which yields:

NOPAT = $1040

That figure would represent the company’s profitability if it were to pay taxes on all the money it earns, including the interest expenses. Notice that it is slightly greater than the EBT amount. This is because the larger the interest expense, the larger the disparity between EBT and NOPAT.

For instance, if we had 400 $ as interest expense. EBIT would equal $ 1400, and NOPAT would be 1120. That is the essence of this calculation. The more a company spends on servicing debt, the more cash it can generate to service it.

Uses of NOPAT

NOPAT is used to derive Free Cash Flow to the Firm, which is a figure used in the Discounted Cash Flow to find the intrinsic value of companies.

Now, let’s break down each of these concepts.

1. Free Cash Flow to the Firm

It is a cash flow metric. While NOPAT is taken from the income statement, which follows accrued accounting, FCFF is concerned with cash accounting, which doesn’t consider proper revenue recognition rules. So instead, it accounts for each actual entry and exit of cash.

It adds back all non-cash expenses to NOPAT and discounts capital expenditures and changes in working capital.

2. Discounted Cash Flow

Money today is worth more than money tomorrow. That is the rationale behind DCF

By taking a series of cash flows into the future and discounting them to present value, we arrive at a theoretical fair value for an asset. 

The key assumption here is the discount rate, often taken as WACC.

3. Valuation analysis

Valuation is a wide-ranging topic. However, it can be broken down into two main areas, intrinsic and comparable valuations. In intrinsic valuation, the main tool is the DCF. Since you are trying to grasp the value (measured in cash) the asset will generate.

Comparable valuation is performed as a quick method taking as a proxy the value of assets that are similar to the one you are trying to value.

For instance, if you are trying to evaluate a house, you’d seek similar houses in the same neighborhood, find out how much they are worth, and then arrive at a fair value for your target.

Now we can see why it is so important. NOPAT is the building block of valuation analysis. Since, ultimately, valuation is mainly concerned with cash flow generation, we must make cash adjustments to the base figure, leading us to FCFF.

Understanding NOPAT

To understand how it is used in practice, we must understand how a discounted cash flow analysis works.

It is a valuation method built upon the assumption that an asset’s value is derived from its future cash flows. For that, we need a cash flow metric, and that is why we adjust Net Operating Profits After Taxes.

To project these cash flows far into the future, we must put in place our assumptions that will set the path for our financial model

The number of assumptions will depend on the level of detail we want to achieve with our model. However, it should be enough to satisfy the variables we want to project.

The method by which we set up our assumptions can vary. For example, suppose it’s an assumption related to a macroeconomic variable, such as GDP growth. In that case, the analyst will grab a survey and extract an average value.

On the other hand, if it is one related to the specifics of the company, it may be measured by digging into the company’s filings and then drawing a conclusion.

Once we have the assumptions in place, we can project and link the financial statements with our financial model.

By forecasting the future earnings and then manipulating the tax rate and EBIT figures - provided we have good assumptions in place - we can then arrive at NOPAT.

Now, since it is a metric based on accrual accounting, and we are interested in cash flows, we must make adaptations to it.

1. Add back D&A expenses

We are adding back non-cash expenses, so we need to add back D&A.

2. Subtract capital expenditures

We subtract the Capex because we are interested in the cash flow that remains after the company’s operational obligations are met.

3. Subtract working capital expenses

The same applies to working capital. Both capex and working capital are expenses that the company would not be able to survive without, which is the reason why it is subtracted.

Now we finally arrive at the unlevered cash flow. All we have to do now before performing the DCF is discount future cash flows to present value using an appropriate discount rate, which is usually the WACC.

The value we get by discounting it to present value is the Enterprise Value. However, if it is a public company we are evaluating, we are interested in the per-share value, so we must get to Equity Value. To do that, we subtract the net debt from the Enterprise Value

Practical Example of NOPAT

Let us take an example of NOPAT to understand the concept better.

Net Operating Profit After Taxes : Practical Example

In the above image, we have the latest 10-K filing from Amazon. Now let’s derive its NOPAT.

We begin by finding the cash tax expense. We can see from the statements that the company laid out $ 4,791 million in taxes.

Now let’s find the earnings before taxes. In the row above, they outline the amount. EBT  comes to $ 36,151 million.With both the tax expense and earnings before tax, we can find the effective tax rate for the business:

Tax rate = Tax amount/ EBT

Tax Rate = 4,791/ 36,151

Computing the calculation, we get a tax rate of 13.25%.

Now, finding the EBIT figure disclosed as operating income: 24,879 million $.

After calculating both EBIT and tax rate, let us apply the formula

NOPAT = 24,879 * (1 - 0.1325)

In this case, comes out to be $ 21,582 million.

However, it is essential to note that you would carry out this calculation in Excel in a much faster and more efficient way in real life. Therefore, it is important to brush up on your Excel skills before starting. 

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Researched and authored by Lucas Amorim | LinkedIn

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