## What Is the DuPont Analysis?

The DuPont analysis (also known as the DuPont identity or DuPont model) is a framework for analyzing fundamental performance popularized by the DuPont Corporation. DuPont analysis is a useful technique used to decompose the different drivers of return on equity (ROE). The decomposition of ROE allows investors to focus on the key metrics of financial performance individually to identify strengths and weaknesses.

There are three major financial metrics that drive return on equity (ROE): operating efficiency, asset use efficiency and financial leverage. Operating efficiency is represented by net profit margin or net income divided by total sales or revenue. Asset use efficiency is measured by the asset turnover ratio. Leverage is measured by the equity multiplier, which is equal to average assets divided by average equity.

### Key Takeaways

- The DuPont analysis is a framework for analyzing fundamental performance originally popularized by the DuPont Corporation.
- DuPont analysis is a useful technique used to decompose the different drivers of return on equity (ROE).
- An investor can use analysis like this to compare the operational efficiency of two similar firms. Managers can use DuPont analysis to identify strengths or weaknesses that should be addressed.

## Formula and Calculation of DuPont Analysis

The Dupont analysis is an expanded return on equity formula, calculated by multiplying the net profit margin by the asset turnover by the equity multiplier.

$\begin{aligned} &\text{DuPont Analysis} = \text{Net Profit Margin} \times \text{AT} \times \text{EM} \\ &\textbf{where:}\\ &\text{Net Profit Margin} = \frac{ \text{Net Income} }{ \text{Revenue} } \\ &\text{AT} = \text{Asset turnover} \\ &\text{Asset Turnover} = \frac{ \text{Sales} }{ \text{Average Total Assets} } \\ &\text{EM} = \text{Equity multiplier} \\ &\text{Equity Multiplier} = \frac{ \text{Average Total Assets} }{ \text{Average Shareholders' Equity} } \\ \end{aligned}$

#### DuPont Analysis

## What DuPont Analysis Tells You

A DuPont analysis is used to evaluate the component parts of a company's return on equity (ROE). This allows an investor to determine what financial activities are contributing the most to the changes in ROE. An investor can use analysis like this to compare the operational efficiency of two similar firms. Managers can use DuPont analysis to identify strengths or weaknesses that should be addressed.

## DuPont Analysis Components

DuPont analysis breaks ROE into its constituent components to determine which of these factors are most responsible for changes in ROE.

### Net Profit Margin

The net profit margin is the ratio of bottom line profits compared to total revenue or total sales. This is one of the most basic measures of profitability.

One way to think about the net margin is to imagine a store that sells a single product for $1.00. After the costs associated with buying inventory, maintaining a location, paying employees, taxes, interest, and other expenses, the store owner keeps $0.15 in profit from each unit sold. That means the owner's profit margin is 15%, which can be calculated as follows:

$\begin{aligned} &\text{Profit Margin} = \frac{ \text{Net Income} }{ \text{Revenue} } = \frac{ \$0.15 }{ \$1.00 } = 15\% \\ \end{aligned}$

The profit margin can be improved if costs for the owner were reduced or if prices were raised, which can have a large impact on ROE. This is one of the reasons that a company's stock will experience high levels of volatility when management makes a change to its guidance for future margins, costs, and prices.

### Asset Turnover Ratio

The asset turnover ratio measures how efficiently a company uses its assets to generate revenue. Imagine a company had $100 of assets, and it made $1,000 of total revenue last year. The assets generated 10 times their value in total revenue, which is the same as the asset turnover ratio and can be calculated as follows:

$\begin{aligned} &\text{Asset Turnover Ratio} = \frac{ \text{Revenue} }{ \text{Average Assets} } = \frac{ \$1,000 }{ \$100 } = 10 \\ \end{aligned}$

A normal asset turnover ratio will vary from one industry group to another. For example, a discount retailer or grocery store will generate a lot of revenue from its assets with a small margin, which will make the asset turnover ratio very large. On the other hand, a utility company owns very expensive fixed assets relative to its revenue, which will result in an asset turnover ratio that is much lower than that of a retail firm.

The ratio can be helpful when comparing two companies that are very similar. Because average assets include components like inventory, changes in this ratio can signal that sales are slowing down or speeding up earlier than it would show up in other financial measures. If a company's asset turnover rises, its ROE will improve.

### Financial Leverage

Financial leverage, or the equity multiplier, is an indirect analysis of a company's use of debt to finance its assets. Assume a company has $1,000 of assets and $250 of owner's equity. The balance sheet equation will tell you that the company also has $750 in debt (assets - liabilities = equity). If the company borrows more to purchase assets, the ratio will continue to rise. The accounts used to calculate financial leverage are both on the balance sheet, so analysts will divide average assets by average equity rather than the balance at the end of the period, as follows:

$\begin{aligned} &\text{Financial Leverage} = \frac{ \text{Average Assets} }{ \text{Average Equity} } = \frac{ \$1,000 }{ \$250 } = 4 \\ \end{aligned}$

Most companies should use debt with equity to fund operations and growth. Not using any leverage could put the company at a disadvantage compared with its peers. However, using too much debt in order to increase the financial leverage ratio—and therefore increase ROE—can create disproportionate risks.

## Example of DuPont Analysis Use

An investor has been watching two similar companies, SuperCo and Gear Inc., that have recently been improving their return on equity compared to the rest of their peer group. This could be a good thing if the two companies are making better use of assets or improving profit margins.

In order to decide which company is a better opportunity, the investor decides to use DuPont analysis to determine what each company is doing to improve its ROE and whether that improvement is sustainable.

As you can see in the table, SuperCo improved its profit margins by increasing net income and reducing its total assets. SuperCo's changes improved its profit margin and asset turnover. The investor can deduce from the information that SuperCo also reduced some of its debt since average equity remained the same.

Looking closely at Gear Inc., the investor can see that the entire change in ROE was due to an increase in financial leverage. This means Gear Inc. borrowed more money, which reduced average equity. The investor is concerned because the additional borrowings didn't change the company's net income, revenue or profit margin, which means the leverage may not be adding any real value to the firm.

Or, as a real-life example, consider Wal-Mart Stores (NYSE: WMT). Wal-Mart has a net income over the trailing twelve months of $5.2 billion, revenue of $512 billion, assets of $227 billion, and shareholders' equity of $72 billion.

The company's profit margin is 1%, or $5.2 billion / $512 billion. Its asset turnover is 2.3, or $512 billion / $227 billion. The financial leverage (or equity multiplier) is 3.2, or $227 billion / $72 billion. Thus, its return or equity (ROE) is 7.4%, or 1% x 2.3 x 3.2.

## DuPont Analysis vs. ROE

The return on equity (ROE) metric is net income divided by shareholders’ equity. The Dupont analysis is still the ROE, just an expanded version. The ROE calculation alone reveals how well a company utilizes capital from shareholders.

With a Dupont analysis, investors and analysts can dig into what drives changes in ROE, or why an ROE is considered high or low. That is, a Dupont analysis can help deduce whether its profitability, use of assets or debt that’s driving ROE.

## Limitations of Using DuPont Analysis

The biggest drawback of the DuPont analysis is that, while expansive, it still relies on accounting equations and data that can be manipulated. Plus, even with its comprehensiveness, the Dupont analysis lacks context as to why the individual ratios are high or low, or even whether they should be considered high or low at all.