DuPont Analysis

3-Step DuPont Analysis Formula

In a 3-step DuPont analysis, the equation states that if a company’s net profit margin, asset turnover, and financial leverage are multiplied, you will arrive at the company’s return on equity (ROE).

As the simpler version between the two approaches, the return on equity (ROE) is broken into three ratio components:

1. Net Profit Margin = Net Income ÷ Revenue
2. Asset Turnover = Revenue ÷ Average Total Assets
3. Financial Leverage Ratio = Average Total Assets ÷ Average Shareholders Equity

The starting point to arrive at these three components is the return on equity (ROE) formula.

If we multiply the ROE formula above by two ratios – “Revenue ÷ Revenue” and “Average Total Assets ÷ Average Total Assets” – we are essentially multiplying the ROE by one, since the numerator and denominator are the same in both ratios.

But with some rearranging of the terms, we arrive at the three standard ratios mentioned earlier:

1. Net Profit Margin
2. Asset Turnover Ratio
3. Leverage Ratio

DuPont Analysis Formula

The 3-step DuPont formula shown below is the most commonly used equation:

Upon splitting up the return on equity (ROE) calculation into these three components, the changes in ROE can be better understood and what is driving the net increase (or decrease).

The DuPont analysis implies that a company can increase its ROE if it:

• Generates Higher Net Profit Margin
• Efficiently Utilizes Assets to Generate More Revenue
• Increases its Financial Leverage

What are the DuPont Analysis Ratio Components?

1. Net Profit Margin Ratio

• The net profit margin represents a company’s “bottom line” profitability once all expenses have been deducted, including the interest expense payments on debt obligations and taxes to the government.
• If the net profit margin increases, each dollar of revenue will bring in more earnings to the company, resulting in a higher return on equity (ROE).
• Therefore, a company’s net income represents the remaining profits left over, which are attributable to one specific group of capital providers – the equity shareholders.

2. Asset Turnover Ratio

• For the second component, the total asset turnover ratio is an efficiency ratio tracking the ability of a company to generate more revenue per dollar of asset owned.
• If a company improves upon its turnover ratio, the ROE increases because the implication is that it can utilize its assets better – i.e. generate more revenue with fewer assets.
• The first two components – the net profit margin and total asset turnover – represent measures of operating efficiency and asset efficiency.

3. Financial Leverage Ratio

• The third and final component, financial leverage, refers to the total amount of debt in the company’s capital structure.
• The greater the reliance on debt financing, the higher the periodic interest expense owed to the lender, which causes the risk of default to rise.
• However, interest expense is tax-deductible and creates a “tax shield” that reduces the amount of taxable income (EBT).
• Often called the “equity multiplier,” increasing the amount of debt to benefit from the lower taxes, the lower cost of capital, and obtaining access to a cheaper funding source could easily backfire from irresponsible decision-making – hence, the company must be led by a management team with their interests aligned with that of its shareholders.
• The company must strike the right balance between benefiting from debt financing but not placing excess leverage on the company, where the company’s cash flows are insufficient to handle all the debt obligations and are now at risk of default.

5-Step DuPont Analysis Formula

The five components of the 5-step DuPont formula are the following ratios:

1. Tax Burden = Net Income ÷ Pre-Tax Income
2. Asset Turnover = Revenue ÷ Average Total Assets
3. Financial Leverage Ratio = Average Total Assets ÷ Average Shareholders’ Equity
4. Interest Burden = Pre-Tax Income ÷ Operating Income
5. Operating Margin = Operating Income ÷ Revenue

There are two additional components in the 5-step equation as compared to the 3-step equation. To expand further upon the additional parts of this formula:

• Tax Burden → The proportion of profits retained post-taxes.
• Interest Burden → The extent to which interest expense impacts profits
• Operating Margin → The operating profit (EBIT) retained per dollar of sales after deducting cost of goods sold (COGS) and operating expenses (OpEx).

All three of these new parts are extensions of the net profit margin calculation.

DuPont Analysis Calculator

We’ll now move to a modeling exercise, which you can access by filling out the form below.

AMEX

First Name *

Email *

Submit

By submitting this form, you consent to receive email from Wall Street Prep and agree to our terms of use and privacy policy.

Email provided

Your Download is Ready

Submitting...

1. Operating Scenarios and Balance Sheet Assumptions

Suppose we’re tasked with calculating a company’s return on equity (ROE) using the DuPont analysis framework.

Here, we’ll be assessing three different operating scenarios:

1. “Downside” Case
2. “Base” Case
3. “Upside” Case

For our projections, we’ll use the “Downside” case as our starting point. We’ll also use a step function and use different step values for the other two cases.

Downside Case:

• Revenue: $200m
• Cost of Goods Sold (COGS): –$140m
• Operating Expenses (OpEx): –$40m
• Interest Expense: $0m

Then, from those figures, we’ll use the following step functions – i.e. the value of the hard-coded number in blue font is added to the cell on the left.

Base and Upside Case (I/S Step Function):

• Revenue: +$50m
• COGS: –$10m
• OpEx: –$10m
• Interest Expense: –$10m
• Tax Rate: 25% – Constant in Each Case

Next, we’ll move on to the balance sheet assumptions, for which we only require two data points, the “Average Total Assets” and “Average Shareholders’ Equity” accounts.

B/S Downside Case:

• Average Total Assets: $500m
• Average Shareholders’ Equity: $500m

B/S Base and Upside Case (Step Function):

• Average Total Assets: –$50m
• Average Shareholders’ Equity: –$100m

Since there is no debt in the capital structure in the “Downside” case, the total assets must equal the average shareholders’ equity for the balance sheet to remain in balance.

2. 3-Step DuPont Analysis Calculation

We now have all the required inputs to calculate ROE using both the 3-step and 5-step DuPont approaches.

To calculate the company’s return on equity (ROE) under the 3-step approach, we can use the following formula:

3. 5-Step DuPont Analysis Calculation

In the next part of our modeling exercise, we’ll calculate the ROE under the 5-step approach.

The formula for calculating each input is listed on the side, while the ROE formula can be seen in the highlighted cells.

From our completed model output, the return on equity (ROE) comes out to:

• ROE, Downside Case = 3.0%
• ROE, Base Case = 7.5%
• ROE, Upside Case = 15.0%

4. DuPont Analysis Ratios Interpretation

In conclusion, the fact that the return on equity (ROE) is equal in both the 3-step and 5-step approaches confirms that the formulas in our model are correct, as well as how the two are fundamentally identical.

Simply put, the 5-step approach takes the basic approach a tad bit further by getting more into the specifics regarding net income.

In our hypothetical scenario, the two major contributors to the variance in the implied return on equity (ROE) values – derived from our DuPont analysis model – is the margin expansion in profitability (i.e. net profit margin, operating margin) and the improvement in efficiency at utilizing assets to generate incremental revenue (i.e. total asset turnover ratio).