Math Problem Statement

Can u help me calculate the return on equity from those numbers

Can you help me calculate the return on equity from those numbers?

Solution

To calculate the Return on Equity (ROE) using the 3-part DuPont model, you multiply the three components: Profit Margin, Total Asset Turnover, and Equity Multiplier. The formula is:

ROE=Profit Margin×Total Asset Turnover×Equity Multiplier\text{ROE} = \text{Profit Margin} \times \text{Total Asset Turnover} \times \text{Equity Multiplier}

Given the values:

2021

ROE2021=25.881793×2.7130514×1.4900981\text{ROE}_{2021} = 25.881793 \times 2.7130514 \times 1.4900981

2022

ROE2022=25.309641×2.9122115×2.0723458\text{ROE}_{2022} = 25.309641 \times 2.9122115 \times 2.0723458

2023

ROE2023=25.306234×2.6697477×2.2755746\text{ROE}_{2023} = 25.306234 \times 2.6697477 \times 2.2755746

I'll calculate each year’s ROE:

2021

ROE202125.881793×2.7130514×1.4900981104.67\text{ROE}_{2021} \approx 25.881793 \times 2.7130514 \times 1.4900981 \approx 104.67

2022

ROE202225.309641×2.9122115×2.0723458152.56\text{ROE}_{2022} \approx 25.309641 \times 2.9122115 \times 2.0723458 \approx 152.56

2023

ROE202325.306234×2.6697477×2.2755746153.67\text{ROE}_{2023} \approx 25.306234 \times 2.6697477 \times 2.2755746 \approx 153.67

Results

  • ROE 2021: Approximately 104.67%
  • ROE 2022: Approximately 152.56%
  • ROE 2023: Approximately 153.67%

Would you like more details on the calculations or have any other questions?


Here are some related questions:

  1. How does an increase in the Equity Multiplier affect ROE?
  2. What is the significance of the Profit Margin in the DuPont model?
  3. Can the DuPont model help identify areas for business improvement?
  4. Why is the Total Asset Turnover a key component in ROE analysis?
  5. What would happen to ROE if one of these metrics declined?

Tip: The DuPont model helps identify which components (profitability, efficiency, or leverage) are driving ROE changes.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Finance
DuPont Analysis
Return on Equity

Formulas

ROE = Profit Margin × Total Asset Turnover × Equity Multiplier

Theorems

DuPont Analysis (3-Part DuPont Model)

Suitable Grade Level

Undergraduate