You are reading the 2026 curriculum (exams up to November 2026). Sitting in February 2027 or later? Go to the 2027 Equities guide.
Capital investments and capital structure
Map where capital came from (operating cash flow, debt, equity, asset sales) and where it went (capital spending, acquisitions, working capital, dividends, buybacks, debt repayment). Value is created when return on invested capital beats the weighted average cost of capital. Leverage and coverage ratios and the degree of financial leverage show financing risk.
Before this: Operating profitability and working capital, Capital Structure, Financial Analysis Techniques
On the exam
- Evaluate a company’s capital investments and capital structure
Evaluate a company's capital investments and capital structure. Expect: compare ROIC with WACC; interpret the degree of financial leverage, net debt to earnings before interest, taxes, depreciation, and amortization (EBITDA) or interest coverage; read a sources and uses table.
How deeply to learn each part
- Know the idea
- Understand it in general. It frames other topics, but you will not calculate with it.
- Use it
- Understand it well enough to solve a question with it. Recognize when it applies.
- Memorize
- Learn it by heart. The exam will not give it to you.
You know this one. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still do.
You tested strong here. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still know it.
Where did the capital come from, and where did it go?
Over any period, the money that came in equals the money that went out. A sources and uses of capital table lays both sides over several years, so the analyst can read a story: is the company reinvesting, buying growth, or returning cash? Is it funding itself from operations, or by borrowing?
- Sources Use it where the money came from
- Cash flow from operations including negative net working capital
- Cash and investments on hand drawing down the balance
- Debt issuance
- Equity issuance
- Asset disposals
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- Uses Use it where it went
- Capital expenditures and additions to intangibles
- Acquisitions
- Increase in net working capital
- Debt repayment
- Dividends and share repurchases
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Here is a five-year illustration for Clearspring (USD million). Sources: operations 14.0, new debt 5.0, asset sales 1.0, total 20.0. Uses: capital spending 9.0, one acquisition 4.0, dividends 5.0, buybacks 2.0, total 20.0.
Operations (14.0) fall short of the payouts and investment together (20.0), so new debt of 5.0 and asset sales of 1.0 fill the gap. Debt has risen to help fund payouts and an acquisition. That points to growing financial leverage, which the later ratios put a number on.
Did the investment create value?
Memorize
Management judges projects with net present values (NPVs) and internal rates of return (IRRs), which outsiders cannot see. Analysts use aggregate measures instead and look at the trend over many years. The main one is return on invested capital : the after-tax operating profit a company earns on the capital invested in it by lenders and shareholders.
Invested capital is debt plus equity (or, from the other side, operating assets net of operating liabilities). The comparison benchmark is the weighted average cost of capital (WACC): the blended cost of the debt and equity that fund the business. ROIC is a return to all capital providers, so it is compared with the cost of all capital.
A company has operating income of 3.00, a tax rate of 25.00% and invested capital of 20.00. Its return on invested capital is closest to:
3.00 × (1 − 0.25) ÷ 20.00 = 11.25%
ROIC11.25%
- 3×(1−0.25)÷20=
- 3ENTER1ENTER0.25−×20÷
ENTER enter (on the HP, puts the number on the stack)
ROIC is an unlevered return, so it belongs next to an all-capital cost like WACC. The return that shareholders earn after leverage is return on equity (ROE), and the DuPont analysis breaks it into net margin, asset turnover and an equity multiplier. Leverage lifts ROE above the unlevered return.
- Net margin net income ÷ revenue
- Asset turnover revenue ÷ assets
- Equity multiplier Use it assets ÷ equity; leverage
For Clearspring, with interest of 1.0 the net income is (3.0 − 1.0) × 0.75 = 1.5. Debt is 10.0 and equity 10.0, and with payables of 1.0 total assets are 21.0. Net margin 1.5 ÷ 18.0 = 8.33%, asset turnover 18.0 ÷ 21.0 = 0.857, equity multiplier 21.0 ÷ 10.0 = 2.1. Product: 15.0%, well above the 11.25% ROIC. That gap is the lift from leverage.
- 1.5÷18=×(18÷21)×(21÷10)= 0.15
- 1.5ENTER18÷18ENTER21÷×21ENTER10÷× 0.15
ENTER enter (on the HP, puts the number on the stack)
Loading the interactive…
How risky is the financing?
Memorize
Financing risk shows up in leverage ratios, coverage ratios, credit ratings and in the degree of financial leverage (DFL): how much net income moves when operating income moves. It is the financing twin of operating leverage, but driven by fixed interest instead of fixed operating costs.
- Leverage ratios Use it how much debt
- Net debt to EBITDA Use it years of earnings to repay
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- Coverage ratios Use it can earnings pay the interest
- Interest coverage Use it EBIT ÷ interest expense
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- Sensitivity Memorize
- Degree of financial leverage Memorize %Δ net income ÷ %Δ operating income
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- Third-party view
- Credit ratings from rating agencies
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With fixed interest , a change in EBIT lands wholly on the profit after interest, so the same change is a larger percentage of a smaller base. Taxes cancel when the rate is constant.
Net debt to EBITDA shows roughly how many years of operating earnings it would take to repay net debt. Interest coverage shows how many times earnings cover the interest bill.
A company has operating income of 3.00 and fixed interest expense of 1.00. Its degree of financial leverage is closest to:
3.00 ÷ (3.00 − 1.00) = 1.5
Degree of financial leverage1.5
- 3÷(3−1)=
- 3ENTER3ENTER1−÷
ENTER enter (on the HP, puts the number on the stack)
A company has debt of 10.00, cash and investments of 1.60 and EBITDA of 4.20. Its net debt to EBITDA is closest to:
(10.00 − 1.60) ÷ 4.20 = 2
Net debt to EBITDA, times2
- (10−1.6)÷4.2=
- 10ENTER1.6−4.2÷
ENTER enter (on the HP, puts the number on the stack)
Exam tip DFL is not a constant. As EBIT falls toward the interest bill, the denominator EBIT − I shrinks and DFL climbs, which is why highly indebted firms are fragile in downturns.
Go deeper Why excess cash lowers ROIC
Invested capital counts cash and investments sitting on the balance sheet, but that cash earns little operating profit. For Clearspring, removing the 1.6 of cash lifts ROIC from 2.25 ÷ 20.0 = 11.25% to 2.25 ÷ 18.4 = 12.23%. A large gap between ROIC and ROIC excluding cash tells you the company is hoarding cash, either for safety or because it has no good projects. Either way, it could invest it or return it.
Go deeper Why some stable businesses still avoid debt
A thin margin makes interest hard to cover when sales dip, so a company with a low operating margin may choose little debt even if its sales are steady. Conversely, a business with predictable revenue (necessities, recurring fees) can carry more. Debt capacity depends on the stability of earnings and on fixed costs already in the business, which is why DOL and DFL are read together.
Memorize this
MemorizeValue creation and financing risk
| Measure | Formula | Reading |
|---|---|---|
| ROIC | EBIT × (1 − t) ÷ invested capital | unlevered return |
| Value created | ROIC > WACC | compare unlevered with WACC |
| DFL | %Δ net income ÷ %Δ EBIT = EBIT ÷ (EBIT − I) | fixed interest magnifies |
| Net debt ÷ EBITDA | (debt − cash) ÷ EBITDA | years to repay |
| Interest coverage | EBIT ÷ interest | how many times interest is covered |
| Total leverage | DOL × DFL | %Δ net income per %Δ sales |
Memory hook Operating leverage is fixed costs in the business; financial leverage is fixed interest on the funding. Multiply them for the total swing.
Know it cold ROIC above WACC creates value. Match unlevered to unlevered: ROIC with WACC, never ROE with WACC.
MemorizeReading a sources and uses table
Memory hook Ask three questions: are operations paying for investment, is debt filling a gap, is cash going back to owners?
Know it cold Operations ≈ payouts while capex is funded by new debt → leverage is rising.
- Sources Use it where the money came from
- Cash flow from operations including negative net working capital
- Cash and investments on hand drawing down the balance
- Debt issuance
- Equity issuance
- Asset disposals
-
- Uses Use it where it went
- Capital expenditures and additions to intangibles
- Acquisitions
- Increase in net working capital
- Debt repayment
- Dividends and share repurchases
-
- Leverage ratios Use it how much debt
- Net debt to EBITDA Use it years of earnings to repay
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- Coverage ratios Use it can earnings pay the interest
- Interest coverage Use it EBIT ÷ interest expense
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- Sensitivity Memorize
- Degree of financial leverage Memorize %Δ net income ÷ %Δ operating income
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- Third-party view
- Credit ratings from rating agencies
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- Net margin net income ÷ revenue
- Asset turnover revenue ÷ assets
- Equity multiplier Use it assets ÷ equity; leverage
Quick example
Earnings before interest and taxes (EBIT) 90, tax rate 20%, invested capital 600. Net operating profit after tax (NOPAT) = 72, so 72 ÷ 600 = 12.0%. Compare with WACC, not with the cost of equity.
- 90×(1−0.2)÷600= 0.12
- 90ENTER1ENTER0.2−×600÷ 0.12
ENTER enter (on the HP, puts the number on the stack)
Quick example
ROIC 12.0%, WACC 9.5%. 12.0 − 9.5 = +2.5 points: value is created. A negative spread destroys value.
- 0.12−0.095= 0.025
- 0.12ENTER0.095− 0.025
ENTER enter (on the HP, puts the number on the stack)
Quick example
Operating income rises 10% and net income rises 14%. 14 ÷ 10 = 1.4.
- 14÷10= 1.4
- 14ENTER10÷ 1.4
ENTER enter (on the HP, puts the number on the stack)
Quick example
EBIT 70, fixed interest 20. 70 ÷ (70 − 20) = 1.4. Taxes cancel when the rate is constant.
- 70÷(70−20)= 1.4
- 70ENTER70ENTER20−÷ 1.4
ENTER enter (on the HP, puts the number on the stack)
Quick example
Degree of operating leverage (DOL) 2.5, DFL 1.4, sales +6%. 2.5 × 1.4 × 6% = 21% on net income.
- 2.5×1.4×6= 21
- 2.5ENTER1.4×6× 21
ENTER enter (on the HP, puts the number on the stack)
Quick example
Debt 450, cash 90, EBITDA 150. (450 − 90) ÷ 150 = 2.4 times: about 2.4 years of EBITDA to repay net debt.
- 450−90=÷150= 2.4
- 450ENTER90−150÷ 2.4
ENTER enter (on the HP, puts the number on the stack)
Quick example
EBIT 70, interest 20. 70 ÷ 20 = 3.5 times.
- 70÷20= 3.5
- 70ENTER20÷ 3.5
ENTER enter (on the HP, puts the number on the stack)
Quick example
Net margin 5%, asset turnover 1.2, equity multiplier 2.0. 0.05 × 1.2 × 2.0 = 12.0%.
- 0.05×1.2×2= 0.12
- 0.05ENTER1.2×2× 0.12
ENTER enter (on the HP, puts the number on the stack)
How it is asked
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ROIC against WACC
EBIT EUR 80m, tax 25%, invested capital EUR 500m, WACC 10%. Value created?
NOPAT 60 ÷ 500 = 12% > 10%: creates value. Using pre-tax EBIT (16%) is the trap.
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Change in net income from a change in EBIT
Operating income 50, fixed interest 20, operating income +12%. Net income?
DFL = 50 ÷ 30 = 1.67; 1.67 × 12% = 20%. Ignoring leverage (12%) is the trap.
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Net debt to EBITDA
Debt 800, cash 200, EBITDA 300.
(800 − 200) ÷ 300 = 2.0 times. Adding cash or ignoring it are the traps.
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Interpret a sources and uses table
Operating cash flow ≈ dividends + buybacks; capex funded by new debt.
Financial leverage has increased.
Exam traps
- Comparing ROIC with the cost of equity, or ROE with WACC. Match unlevered returns with WACC and levered returns with the cost of equity.
- Using pre-tax EBIT in ROIC. Use NOPAT, EBIT × (1 − t).
- Reading a high ROE as good management when it comes from leverage. Decompose it.
- Treating DFL as a fixed number. It rises as EBIT falls toward the interest bill.
- Net debt: subtract cash from debt, do not add it.
Checkpoint
4 exam-style questions. About 90 seconds each.
1A company's EBIT is EUR 80 million, its tax rate is 25% and its invested capital is EUR 500 million. Its WACC is 10%. The company is most likely:
2A company has operating income of USD 50 million and fixed interest expense of USD 20 million. If operating income rises 12%, net income will rise by closest to:
3A company has debt of USD 800 million, cash and investments of USD 200 million and EBITDA of USD 300 million. Its net debt to EBITDA is closest to:
4Over five years a company's operating cash flow roughly equals its dividends and buybacks, while capital spending was funded by new debt. This most likely indicates that:
Key takeaways
- Sources and uses show how a company funds itself and what it does with the money.
- ROIC above WACC creates value; analyze the trend over many years.
- DFL = %Δ net income ÷ %Δ EBIT; net debt to EBITDA and coverage show financing risk.
- Total leverage is DOL × DFL: sales swings reach net income magnified twice.
Quick example
Earnings before interest and taxes (EBIT) 90, tax rate 20%, invested capital 600. Net operating profit after tax (NOPAT) = 72, so 72 ÷ 600 = 12.0%. Compare with WACC, not with the cost of equity.
- 90×(1−0.2)÷600= 0.12
- 90ENTER1ENTER0.2−×600÷ 0.12
ENTER enter (on the HP, puts the number on the stack)
Quick example
ROIC 12.0%, WACC 9.5%. 12.0 − 9.5 = +2.5 points: value is created. A negative spread destroys value.
- 0.12−0.095= 0.025
- 0.12ENTER0.095− 0.025
ENTER enter (on the HP, puts the number on the stack)
Quick example
Operating income rises 10% and net income rises 14%. 14 ÷ 10 = 1.4.
- 14÷10= 1.4
- 14ENTER10÷ 1.4
ENTER enter (on the HP, puts the number on the stack)
Quick example
EBIT 70, fixed interest 20. 70 ÷ (70 − 20) = 1.4. Taxes cancel when the rate is constant.
- 70÷(70−20)= 1.4
- 70ENTER70ENTER20−÷ 1.4
ENTER enter (on the HP, puts the number on the stack)
Quick example
Degree of operating leverage (DOL) 2.5, DFL 1.4, sales +6%. 2.5 × 1.4 × 6% = 21% on net income.
- 2.5×1.4×6= 21
- 2.5ENTER1.4×6× 21
ENTER enter (on the HP, puts the number on the stack)
Quick example
Debt 450, cash 90, EBITDA 150. (450 − 90) ÷ 150 = 2.4 times: about 2.4 years of EBITDA to repay net debt.
- 450−90=÷150= 2.4
- 450ENTER90−150÷ 2.4
ENTER enter (on the HP, puts the number on the stack)
Quick example
EBIT 70, interest 20. 70 ÷ 20 = 3.5 times.
- 70÷20= 3.5
- 70ENTER20÷ 3.5
ENTER enter (on the HP, puts the number on the stack)
Quick example
Net margin 5%, asset turnover 1.2, equity multiplier 2.0. 0.05 × 1.2 × 2.0 = 12.0%.
- 0.05×1.2×2= 0.12
- 0.05ENTER1.2×2× 0.12
ENTER enter (on the HP, puts the number on the stack)
Questions about this lesson?
Where this comes back
- Industry and Competitive Analysis Equity Investments
- Company Analysis: Forecasting Equity Investments
- Credit Analysis for Corporate Issuers Fixed Income
Questions candidates ask
How do you know if a company creates value?
Compare its return on invested capital with its weighted average cost of capital over several years. ROIC above WACC creates value.
What is the degree of financial leverage?
The percentage change in net income for a given percentage change in operating income. Higher fixed interest means higher DFL.
What is net debt to EBITDA?
Debt minus cash, divided by EBITDA: roughly how many years of operating cash earnings it would take to repay net debt.
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