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Lesson 4 of 4 11–14% of the exam

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.

8 min cram, 36 min full read. Based on the 2026 CFA® Program Level I curriculum, Equity Investments, Learning Module 5. This is the 2026 version of the lesson. Sitting in February 2027 or later? Read the updated 2027 version.

Tailor this to you: take the self-assessment

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.

Cram mode: the one-screen version of this lesson. Switch to Full for the explanations, worked examples and interactives.

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 and uses of capital
Capital over a periodsources always equal uses
  • 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

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.

Return on invested capital Memorize
ROIC=NOPATinvested capital,NOPAT=EBIT×(1−t)ROIC = \frac{NOPAT}{\text{invested capital}}, \quad NOPAT = EBIT \times (1 - t)

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.

Value created Use it
Spread=ROIC−WACC\text{Spread} = ROIC - WACC
Rearrange itReturn on invested capital: solve for any one
The question asks for
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%

On your calculator
  1. 3×(1−0.25)÷20=
  1. 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.

From return on capital to return on equity
ROElevered return to shareholders
  • Net margin net income ÷ revenue
  • Asset turnover revenue ÷ assets
  • Equity multiplier Use it assets ÷ equity; leverage
DuPont decomposition of ROE Use it
ROE=NIrevenue×revenueassets×assetsequityROE = \frac{NI}{\text{revenue}} \times \frac{\text{revenue}}{\text{assets}} \times \frac{\text{assets}}{\text{equity}}

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.

DuPont on your calculator
  1. 1.5÷18=×(18÷21)×(21÷10)= 0.15
  1. 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.

Measuring financing risk
Is the capital structure risky?unlevered returns versus what leverage adds
  • Leverage ratios Use it how much debt
    • Net debt to EBITDA Use it years of earnings to repay
  • Coverage ratios Use it can earnings pay the interest
    • Interest coverage Use it EBIT ÷ interest expense
  • Sensitivity Memorize
    • Degree of financial leverage Memorize %Δ net income ÷ %Δ operating income
  • Third-party view
    • Credit ratings from rating agencies
Degree of financial leverage Memorize
DFL=%Δnet income%Δoperating incomeDFL = \frac{\%\Delta \text{net income}}{\%\Delta \text{operating income}}
DFL at a given EBIT Memorize
DFL=EBITEBIT−IDFL = \frac{EBIT}{EBIT - I}

With fixed interest II, 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 Use it
debt−cash and investmentsEBITDA\frac{\text{debt} - \text{cash and investments}}{EBITDA}
Interest coverage Use it
Interest coverage=EBITinterest expense\text{Interest coverage} = \frac{EBIT}{\text{interest expense}}

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.

Rearrange itDegree of financial leverage at a given EBIT: solve for any one
The question asks for
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

On your calculator
  1. 3÷(3−1)=
  1. 3ENTER3ENTER1−÷

ENTER enter (on the HP, puts the number on the stack)

Rearrange itNet debt to EBITDA: solve for any one
The question asks for
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

On your calculator
  1. (10−1.6)÷4.2=
  1. 10ENTER1.6−4.2÷

ENTER enter (on the HP, puts the number on the stack)

Total leverage Use it
%Δnet income=DOL×DFL×%Δsales\%\Delta \text{net income} = DOL \times DFL \times \%\Delta \text{sales}

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

MeasureFormulaReading
ROICEBIT × (1 − t) ÷ invested capitalunlevered return
Value createdROIC > WACCcompare unlevered with WACC
DFL%Δ net income ÷ %Δ EBIT = EBIT ÷ (EBIT − I)fixed interest magnifies
Net debt ÷ EBITDA(debt − cash) ÷ EBITDAyears to repay
Interest coverageEBIT ÷ interesthow many times interest is covered
Total leverageDOL × 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 and uses of capital
Capital over a periodsources always equal uses
  • 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
Measuring financing risk
Is the capital structure risky?unlevered returns versus what leverage adds
  • Leverage ratios Use it how much debt
    • Net debt to EBITDA Use it years of earnings to repay
  • Coverage ratios Use it can earnings pay the interest
    • Interest coverage Use it EBIT ÷ interest expense
  • Sensitivity Memorize
    • Degree of financial leverage Memorize %Δ net income ÷ %Δ operating income
  • Third-party view
    • Credit ratings from rating agencies
From return on capital to return on equity
ROElevered return to shareholders
  • Net margin net income ÷ revenue
  • Asset turnover revenue ÷ assets
  • Equity multiplier Use it assets ÷ equity; leverage
Return on invested capital Memorize
ROIC=NOPATinvested capital,NOPAT=EBIT×(1−t)ROIC = \frac{NOPAT}{\text{invested capital}}, \quad NOPAT = EBIT \times (1 - t)
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.

On your calculator
  1. 90×(1−0.2)÷600= 0.12
  1. 90ENTER1ENTER0.2−×600÷ 0.12

ENTER enter (on the HP, puts the number on the stack)

Value created Use it
Spread=ROIC−WACC\text{Spread} = ROIC - WACC
Quick example

ROIC 12.0%, WACC 9.5%. 12.0 − 9.5 = +2.5 points: value is created. A negative spread destroys value.

On your calculator
  1. 0.12−0.095= 0.025
  1. 0.12ENTER0.095− 0.025

ENTER enter (on the HP, puts the number on the stack)

Degree of financial leverage Memorize
DFL=%Δnet income%Δoperating incomeDFL = \frac{\%\Delta \text{net income}}{\%\Delta \text{operating income}}
Quick example

Operating income rises 10% and net income rises 14%. 14 ÷ 10 = 1.4.

On your calculator
  1. 14÷10= 1.4
  1. 14ENTER10÷ 1.4

ENTER enter (on the HP, puts the number on the stack)

DFL at a given EBIT Memorize
DFL=EBITEBIT−IDFL = \frac{EBIT}{EBIT - I}
Quick example

EBIT 70, fixed interest 20. 70 ÷ (70 − 20) = 1.4. Taxes cancel when the rate is constant.

On your calculator
  1. 70÷(70−20)= 1.4
  1. 70ENTER70ENTER20−÷ 1.4

ENTER enter (on the HP, puts the number on the stack)

Total leverage Use it
%Δnet income=DOL×DFL×%Δsales\%\Delta \text{net income} = DOL \times DFL \times \%\Delta \text{sales}
Quick example

Degree of operating leverage (DOL) 2.5, DFL 1.4, sales +6%. 2.5 × 1.4 × 6% = 21% on net income.

On your calculator
  1. 2.5×1.4×6= 21
  1. 2.5ENTER1.4×6× 21

ENTER enter (on the HP, puts the number on the stack)

Net debt to EBITDA Use it
debt−cash and investmentsEBITDA\frac{\text{debt} - \text{cash and investments}}{EBITDA}
Quick example

Debt 450, cash 90, EBITDA 150. (450 − 90) ÷ 150 = 2.4 times: about 2.4 years of EBITDA to repay net debt.

On your calculator
  1. 450−90=÷150= 2.4
  1. 450ENTER90−150÷ 2.4

ENTER enter (on the HP, puts the number on the stack)

Interest coverage Use it
Interest coverage=EBITinterest expense\text{Interest coverage} = \frac{EBIT}{\text{interest expense}}
Quick example

EBIT 70, interest 20. 70 ÷ 20 = 3.5 times.

On your calculator
  1. 70÷20= 3.5
  1. 70ENTER20÷ 3.5

ENTER enter (on the HP, puts the number on the stack)

DuPont decomposition of ROE Use it
ROE=NIrevenue×revenueassets×assetsequityROE = \frac{NI}{\text{revenue}} \times \frac{\text{revenue}}{\text{assets}} \times \frac{\text{assets}}{\text{equity}}
Quick example

Net margin 5%, asset turnover 1.2, equity multiplier 2.0. 0.05 × 1.2 × 2.0 = 12.0%.

On your calculator
  1. 0.05×1.2×2= 0.12
  1. 0.05ENTER1.2×2× 0.12

ENTER enter (on the HP, puts the number on the stack)

How it is asked

  1. 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.

  2. 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.

  3. Net debt to EBITDA

    Debt 800, cash 200, EBITDA 300.

    (800 − 200) ÷ 300 = 2.0 times. Adding cash or ignoring it are the traps.

  4. 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.

  1. 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:

  2. 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:

  3. 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:

  4. 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.
Return on invested capital Memorize
ROIC=NOPATinvested capital,NOPAT=EBIT×(1−t)ROIC = \frac{NOPAT}{\text{invested capital}}, \quad NOPAT = EBIT \times (1 - t)
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.

On your calculator
  1. 90×(1−0.2)÷600= 0.12
  1. 90ENTER1ENTER0.2−×600÷ 0.12

ENTER enter (on the HP, puts the number on the stack)

Value created Use it
Spread=ROIC−WACC\text{Spread} = ROIC - WACC
Quick example

ROIC 12.0%, WACC 9.5%. 12.0 − 9.5 = +2.5 points: value is created. A negative spread destroys value.

On your calculator
  1. 0.12−0.095= 0.025
  1. 0.12ENTER0.095− 0.025

ENTER enter (on the HP, puts the number on the stack)

Degree of financial leverage Memorize
DFL=%Δnet income%Δoperating incomeDFL = \frac{\%\Delta \text{net income}}{\%\Delta \text{operating income}}
Quick example

Operating income rises 10% and net income rises 14%. 14 ÷ 10 = 1.4.

On your calculator
  1. 14÷10= 1.4
  1. 14ENTER10÷ 1.4

ENTER enter (on the HP, puts the number on the stack)

DFL at a given EBIT Memorize
DFL=EBITEBIT−IDFL = \frac{EBIT}{EBIT - I}
Quick example

EBIT 70, fixed interest 20. 70 ÷ (70 − 20) = 1.4. Taxes cancel when the rate is constant.

On your calculator
  1. 70÷(70−20)= 1.4
  1. 70ENTER70ENTER20−÷ 1.4

ENTER enter (on the HP, puts the number on the stack)

Total leverage Use it
%Δnet income=DOL×DFL×%Δsales\%\Delta \text{net income} = DOL \times DFL \times \%\Delta \text{sales}
Quick example

Degree of operating leverage (DOL) 2.5, DFL 1.4, sales +6%. 2.5 × 1.4 × 6% = 21% on net income.

On your calculator
  1. 2.5×1.4×6= 21
  1. 2.5ENTER1.4×6× 21

ENTER enter (on the HP, puts the number on the stack)

Net debt to EBITDA Use it
debt−cash and investmentsEBITDA\frac{\text{debt} - \text{cash and investments}}{EBITDA}
Quick example

Debt 450, cash 90, EBITDA 150. (450 − 90) ÷ 150 = 2.4 times: about 2.4 years of EBITDA to repay net debt.

On your calculator
  1. 450−90=÷150= 2.4
  1. 450ENTER90−150÷ 2.4

ENTER enter (on the HP, puts the number on the stack)

Interest coverage Use it
Interest coverage=EBITinterest expense\text{Interest coverage} = \frac{EBIT}{\text{interest expense}}
Quick example

EBIT 70, interest 20. 70 ÷ 20 = 3.5 times.

On your calculator
  1. 70÷20= 3.5
  1. 70ENTER20÷ 3.5

ENTER enter (on the HP, puts the number on the stack)

DuPont decomposition of ROE Use it
ROE=NIrevenue×revenueassets×assetsequityROE = \frac{NI}{\text{revenue}} \times \frac{\text{revenue}}{\text{assets}} \times \frac{\text{assets}}{\text{equity}}
Quick example

Net margin 5%, asset turnover 1.2, equity multiplier 2.0. 0.05 × 1.2 × 2.0 = 12.0%.

On your calculator
  1. 0.05×1.2×2= 0.12
  1. 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

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.

Spotted an error? Tell us and we will fix it.

  1. The company research report and the business model
  2. Revenue drivers and pricing power
  3. Operating profitability and working capital
  4. Capital investments and capital structure

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