Question 3.S-TP.4: ROE and the DuPont Identity Calculate the 2018 ROE for the P...

ROE and the DuPont Identity Calculate the 2018 ROE for the Philippe Corporation and then break down your answer into its component parts using the DuPont identity.

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The return on equity is the ratio of net income to total equity. For Philippe, this is
$146/$3,347 = 4.4 percent, which is not outstanding.
Given the DuPont identity, ROE can be written as follows:

ROE = Profit margin × Total asset turnover × Equity multiplier
= $146/$4,053 × $4,053/$7,380 × $7,380/$3,347\text{        }
= .036% × .549 × 2.20\text{                                                   }
= .044, or 4.4%\text{                                                             }

Notice that return on assets, ROA, is .036% × .549 = 1.98 percent.

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