Summary of ROI and ROE in Strategic Management

ROI and ROE in Strategic Management: Explained for Students

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Introduction

Corporate financial performance metrics help stakeholders evaluate how well a company generates profit from its operations and how financing decisions affect returns to shareholders. This material focuses on the long-run drivers of performance, Return on Investment (ROI), and Return on Equity (ROE), with practical examples and a business case analysis.

Definition: Return on Investment (ROI) measures the profitability of a company's total assets before financing choices; it links profit margin to asset efficiency.

Definition: Return on Equity (ROE) measures the return earned by shareholders after considering financial leverage and cost of debt.

1. Long-run drivers of performance

Companies can follow strategies that either avoid new asset investment or require asset investment. Each choice affects revenues, assets, and therefore performance metrics.

1.1 If no new asset investment is planned

  • Revenue changes are the only way the asset-based ratios change because average asset levels stay roughly constant.
  • Revenue is price × quantity sold. So analyze:
    • Potential changes in prices
    • Potential changes in sold units (quantity)
  • What causes prices or quantities to change?
    • Changes in the company’s competitive position
    • Industry life-cycle evolution and shifts in the competitive environment

1.2 If new asset investment is planned

  • Both revenues (or sales volumes) and average asset levels can change.
  • If historical asset turnover was efficient, it can be used to forecast required asset volumes, but only if strategy remains unchanged.

Caution: Using past asset turnover as a forecasting tool may be invalid if the company plans a strategic shift.

2. Return on Equity (ROE) and its components

ROE links operational profitability with financing decisions. The standard decomposition used here is:

Definition: Financial leverage shows how debt amplifies returns to equity holders when ROI exceeds the cost of debt.

$$\text{ROE} = \text{ROI} + (\text{ROI} - i) \times \text{Debt ratio}$$

Where:

  • $\text{ROI}$ is Return on Investment (profitability of total assets)
  • $i$ is the cost of debt (average interest rate paid on debt)
  • $\text{Debt ratio}$ is the proportion of assets financed by debt

2.1 ROI decomposition

ROI itself can be broken down into two multiplicative components:

$$\text{ROI} = \text{Profit margin} \times \text{Asset turnover}$$

  • Profit margin = profit / sales
  • Asset turnover = sales / average assets

This shows ROI improves when either margins increase or assets are used more efficiently.

Definition: Profit margin is the fraction of sales that becomes profit; asset turnover measures how many sales are generated per unit of assets.

2.2 Cost of debt and debt ratio

  • Cost of debt ($i$) is the average interest rate effectively paid on borrowed funds.
  • Debt ratio is the proportion of total assets financed by debt (debt / assets).

2.3 Implications of financial leverage for funding decisions

  • If $\text{ROI} > i$ then financial leverage is positive: raising debt proportion increases ROE. Suggestion: consider increasing debt, but remain within prudent limits.
  • If $\text{ROI} < i$ then financial leverage is negative: more debt reduces ROE. Suggestion: reduce debt proportion.

Recommended practical guideline: maintain debt ratio in a sensible range (example recommended range: $1.5$ to $2$ in debt-to-equity context historically used in the case). Note: whether that range applies depends on industry and risk tolerance.

💡 Věděli jste?Fun fact: Companies with positive financial leverage can boost shareholder returns by borrowing, but excessive debt increases bankruptcy risk and reduces flexibility.

3. Practical example: "Envases de Plástico S.A." (Summary)

You are given results for years 2020 and 2024. The case conclusions:

  • ROI rose from $3.75%$ in 2020 to $5.31%$ in 2024.
    • Reasoning: Asset turnover increased (assets used more efficiently), which offset a decline
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Corporate Performance Metrics

Klíčové pojmy: ROE decomposes into ROI plus leverage effect: $\text{ROE}=\text{ROI}+(\text{ROI}-i)\times\text{Debt ratio}$, ROI decomposes as $\text{ROI}=\text{Profit margin}\times\text{Asset turnover}$, If $\text{ROI}>i$, increasing debt proportion can raise ROE (positive leverage), If $\text{ROI}<i$, reducing debt improves ROE (negative leverage), Asset turnover rises imply better asset efficiency and can offset falling margins, Use historical asset turnover to forecast asset needs only if strategy remains unchanged, Investigate margin declines for pricing, quantity sold, cost increases, or competitive shifts, Lowering cost of debt and debt ratio can improve ROE while reducing financial risk, When planning asset investment, model both revenue and asset-level changes, Compare ROI and cost of debt before changing leverage levels

## Introduction Corporate financial performance metrics help stakeholders evaluate how well a company generates profit from its operations and how financing decisions affect returns to shareholders. This material focuses on the long-run drivers of performance, Return on Investment (ROI), and Return on Equity (ROE), with practical examples and a business case analysis. > Definition: Return on Investment (ROI) measures the profitability of a company's total assets before financing choices; it links profit margin to asset efficiency. > Definition: Return on Equity (ROE) measures the return earned by shareholders after considering financial leverage and cost of debt. ## 1. Long-run drivers of performance Companies can follow strategies that either avoid new asset investment or require asset investment. Each choice affects revenues, assets, and therefore performance metrics. ### 1.1 If no new asset investment is planned - Revenue changes are the only way the asset-based ratios change because average asset levels stay roughly constant. - Revenue is price × quantity sold. So analyze: - Potential changes in prices - Potential changes in sold units (quantity) - What causes prices or quantities to change? - Changes in the company’s competitive position - Industry life-cycle evolution and shifts in the competitive environment ### 1.2 If new asset investment is planned - Both revenues (or sales volumes) and average asset levels can change. - If historical asset turnover was efficient, it can be used to forecast required asset volumes, but only if strategy remains unchanged. > Caution: Using past asset turnover as a forecasting tool may be invalid if the company plans a strategic shift. ## 2. Return on Equity (ROE) and its components ROE links operational profitability with financing decisions. The standard decomposition used here is: > Definition: Financial leverage shows how debt amplifies returns to equity holders when ROI exceeds the cost of debt. $$\text{ROE} = \text{ROI} + (\text{ROI} - i) \times \text{Debt ratio}$$ Where: - $\text{ROI}$ is Return on Investment (profitability of total assets) - $i$ is the cost of debt (average interest rate paid on debt) - $\text{Debt ratio}$ is the proportion of assets financed by debt ### 2.1 ROI decomposition ROI itself can be broken down into two multiplicative components: $$\text{ROI} = \text{Profit margin} \times \text{Asset turnover}$$ - Profit margin = profit / sales - Asset turnover = sales / average assets This shows ROI improves when either margins increase or assets are used more efficiently. > Definition: Profit margin is the fraction of sales that becomes profit; asset turnover measures how many sales are generated per unit of assets. ### 2.2 Cost of debt and debt ratio - Cost of debt ($i$) is the average interest rate effectively paid on borrowed funds. - Debt ratio is the proportion of total assets financed by debt (debt / assets). ### 2.3 Implications of financial leverage for funding decisions - If $\text{ROI} > i$ then financial leverage is positive: raising debt proportion increases ROE. Suggestion: consider increasing debt, but remain within prudent limits. - If $\text{ROI} < i$ then financial leverage is negative: more debt reduces ROE. Suggestion: reduce debt proportion. Recommended practical guideline: maintain debt ratio in a sensible range (example recommended range: $1.5$ to $2$ in debt-to-equity context historically used in the case). Note: whether that range applies depends on industry and risk tolerance. Fun fact: Companies with positive financial leverage can boost shareholder returns by borrowing, but excessive debt increases bankruptcy risk and reduces flexibility. ## 3. Practical example: "Envases de Plástico S.A." (Summary) You are given results for years 2020 and 2024. The case conclusions: - ROI rose from $3.75\%$ in 2020 to $5.31\%$ in 2024. - Reasoning: Asset turnover increased (assets used more efficiently), which offset a decline