Analyst Dojo
Lesson 5 of 5 11–14% of the exam

Capital investments and capital structure

Free cash flow to equity (FCFE) is net income plus depreciation and amortization, less the growth in working capital and long-term assets, plus net new debt. Return on invested capital above the cost of capital is an excess accounting return. Debt raises financial leverage and the risk of distress.

7 min cram, 30 min full read. Based on the 2027 CFA® Program Level I curriculum, Equities, Learning Module 10. Sitting in November 2026? The 2026 version of this lesson is still available.

Tailor this to you: take the self-assessment

Before this: Operating profitability and working capital, Capital Structure, Return on invested capital (ROIC)

On the exam

  • Evaluate a company’s working capital, capital investments, and capital structure

Evaluate a company's capital investments and capital structure. Expect: what raises or lowers free cash flow to equity (new debt raises it), what a fall in net capital expenditure means, what return on invested capital measures and how it compares with the weighted average cost of capital, what a high degree of financial leverage means, and the signs of leverage rising or of deleveraging after an acquisition.

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 does the cash for shareholders come from?

Memorize

A company analysis also reads the balance sheet: investment in working capital, in long-term assets, and new financing. Free cash flow to equity (FCFE) ties them together. It is the cash left for shareholders once operating expenses and taxes are paid and all the investment needed to keep and grow the business is made (the discounted cash flow module values shares with it).

Free cash flow to equity Memorize
FCFE=NI+D&A−ΔWC−ΔLT assets+ΔDebtFCFE = \text{NI} + \text{D\&A} - \Delta\text{WC} - \Delta\text{LT assets} + \Delta\text{Debt}
  • ΔWC = Δ current assets − Δ current liabilities
  • ΔDebt (net debt issuance ) = new borrowing − debt repaid

Sources are net income (NI), the non-cash depreciation and amortization (D&A) charge and new debt; uses are growth in working capital (WC) and in long-term (LT) assets. Here Δ long-term assets is the year’s investment in them, the capital expenditure.

FCFE from the statements
FCFEcash left for shareholders
  • Sources Memorize
    • Net income
    • D&A (non-cash)
    • Net debt issuance
  • Uses Memorize
    • Increase in working capital
    • Investment in long-term assets
Rearrange itFree cash flow to equity from the statements: solve for any one
The question asks for
A company reports net income of 1.50 and depreciation and amortization of 1.20. Its current assets rose 0.50 and its current liabilities 0.20. It invested 2.00 in long-term assets, borrowed 1.00 and repaid 0.40 of debt. Its free cash flow to equity is closest to:

1.50 + 1.20 − (0.50 − 0.20) − 2.00 + (1.00 − 0.40) = 1.00

Free cash flow to equity (FCFE)1.00

On your calculator
  1. 1.5+1.2−0.5+0.2−2+1−0.4=
  1. 1.5ENTER1.2+0.5−0.2+2−1+0.4−

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

FCFE varies across companies, industries and the life cycle. Start-ups and young growth firms often have negative FCFE: they invest heavily and lack the steady cash flows needed to carry debt. As firms mature, they need less new investment and can use more debt (Lesson 2).

Did the investment create value?

Memorize

Capital investments in long-term tangible and intangible assets are capitalized, and those with a finite life are expensed over time through D&A. So analysts watch net capital expenditure , capital expenditure minus D&A, as a measure of how much a company is adding to its productive capacity.

Net capital expenditure Memorize
Net capital expenditure=capital expenditure−D&A\text{Net capital expenditure} = \text{capital expenditure} - \text{D\&A}

With capital expenditure of 2.0 and D&A of 1.2, net capital expenditure is 2.0 − 1.2 = 0.8, so capacity is growing. Negative means the asset base is shrinking.

The business model sets how much a company must invest: carmakers and aircraft makers carry heavy tangible assets, service and technology firms earn with a small, efficient asset base, and companies that license software or other intellectual property hold mostly intangible assets amortized over their useful lives (asset-heavy and asset-light business models ).

The level of investment matters, but analysts focus on the return it earns. Return on invested capital (ROIC) is an aggregate measure of value creation across all of a company’s investments: the after-tax operating profit earned for all investors, lenders and shareholders alike.

Return on invested capital Memorize
ROIC=NOPATtAverage invested capitalROIC = \dfrac{\text{NOPAT}_t}{\text{Average invested capital}}
  • Net operating profit after taxes (NOPAT) = operating income × (1 − tax rate)
  • Invested capital = total long-term liabilities + total equity, averaged over the start and end of the period

ROIC is compared with the weighted average cost of capital (WACC) , the blended cost of all the capital. A positive difference is an excess accounting return for investors.

Excess accounting return Memorize
Excess accounting return=ROIC−WACC\text{Excess accounting return} = ROIC - WACC

Or use the ratio ROIC ÷ WACC, above 1 when ROIC beats WACC.

Rearrange itReturn on invested capital: solve for any one
The question asks for
A company's net operating profit after taxes is 2.25. Its long-term liabilities plus equity are 19.00 at the start of the year and 21.00 at the end. Its return on invested capital is closest to:

2.25 ÷ ((19.00 + 21.00) ÷ 2) = 2.25 ÷ 20 = 11.25%

Return on invested capital (ROIC)11.25%

On your calculator
  1. 19+21=÷2=1/x×2.25=

1/x reciprocal

  1. 2.25ENTER19ENTER21+2÷÷

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

ROIC is a return to all capital providers, so it is compared with the cost of all capital (WACC), never with the cost of equity. Industry analysis uses the same ROIC to compare whole industries; here it compares a company with its peers over several years.

Loading the interactive…

How risky is the financing?

Memorize

A company’s best capital structure depends on its business model, its operations and asset conversion cycle, and its life-cycle stage. Early-stage firms with high business risk, little revenue and negative cash flow are usually financed with equity; mature businesses with stable cash flows can support debt. Analysts look at how much the company relies on debt, the type and tenor of its bonds and loans, and its access to more debt.

Long-lived assets, as in manufacturing or utilities, are often financed with long-term bonds; retail and service businesses tend to fund themselves for shorter terms. When a company ramps up investment, restructures or buys another company, the change in debt belongs in the forecast model so that interest and repayments are captured.

Measuring financing risk
Is the capital structure risky?fits the business model, asset life and life-cycle stage?
  • Leverage ratios
    • Total debt to total assets Use it
    • Debt to equity Use it
  • Coverage
    • EBITDA to interest expense Use it
  • Sensitivity
    • Degree of financial leverage Memorize %Δ net income ÷ %Δ operating income
  • Direction
    • Leverage rising debt-funded acquisition or expansion
    • Deleveraging debt falls, coverage rises

The income statement shows the effect of debt through the degree of financial leverage (DFL): the sensitivity of net income to changes in operating income. It rises as interest expense grows relative to net income. Like operating leverage, it magnifies gains and losses, and it raises the chance of financial distress : serious uncertainty about whether the company can meet its debt obligations because earnings are weak or it is making losses.

Degree of financial leverage Memorize
DFL=%Δnet income%Δoperating incomeDFL = \frac{\%\Delta \text{net income}}{\%\Delta \text{operating income}}
Degree of financial leverage with fixed interest Use it
DFL=EBITEBIT−IDFL = \frac{EBIT}{EBIT - I}

With fixed interest II, a change in operating income (EBIT, earnings before interest and taxes) lands wholly on the profit after interest, so the same change is a larger percentage of a smaller base. This shortcut follows from the definition when interest is fixed and the tax rate constant.

Two balance-sheet and coverage measures complete the picture. Total debt to total assets shows how much of the asset base debt funds; EBITDA to interest expense shows how many times earnings before interest, taxes, depreciation, and amortization (EBITDA) cover the interest bill.

Total debt to total assets Use it
total debttotal assets\dfrac{\text{total debt}}{\text{total assets}}
EBITDA to interest expense Use it
EBITDAinterest expense\dfrac{\text{EBITDA}}{\text{interest expense}}

The debt-to-equity ratio (debt ÷ equity, 10.0 ÷ 10.0 = 1.0 for Clearspring) tells the same story from the equity side.

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)

Exam tip DFL is not a constant. As operating income falls toward the interest bill, the denominator shrinks and DFL climbs, which is why highly indebted firms are fragile in downturns.

What does deleveraging look like?

After a large acquisition financed with debt, the debt ratio jumps and interest coverage falls. The analyst should explain the rise in leverage and judge whether the company’s plan to bring it down is realistic. Deleveraging shows as falling debt, a falling debt-to-equity ratio and rising interest coverage. A debt ratio that keeps rising, or coverage that keeps falling, means leverage is still going up, whatever happens to profits.

Negative working capital and steady FCFE can fund the repayments (Lesson 4).

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 operating and financial leverage are read together.

Memorize this

MemorizeFCFE and capital investment

MeasureFormulaReading
FCFENI + D&A − ΔWC − ΔLT assets + ΔDebtnew debt raises it this year
Net capital expenditurecapital expenditure − D&Apositive: capacity growing
ROICNOPAT ÷ average (LT liabilities + equity)after-tax return to all investors
Excess accounting returnROIC − WACC (or ROIC ÷ WACC > 1)value created across all assets

Memory hook Shareholders get what is left: earn it (NI), add back the non-cash (D&A), pay for growth (WC, LT assets), borrow the rest (ΔDebt).

Know it cold ROIC goes with WACC, never with the cost of equity.

MemorizeFinancing risk

MeasureFormulaRiskier when
DFL%Δ NI ÷ %Δ operating incomehigher
Total debt to total assetsdebt ÷ assetshigher
EBITDA to interestEBITDA ÷ interest expenselower
Debt to equitydebt ÷ equityhigher

Memory hook Fixed interest is to net income what fixed costs are to operating profit.

Know it cold Deleveraging = debt down, coverage up. Debt raised for a plant raises financial leverage before the plant earns anything.

FCFE from the statements
FCFEcash left for shareholders
  • Sources Memorize
    • Net income
    • D&A (non-cash)
    • Net debt issuance
  • Uses Memorize
    • Increase in working capital
    • Investment in long-term assets
Measuring financing risk
Is the capital structure risky?fits the business model, asset life and life-cycle stage?
  • Leverage ratios
    • Total debt to total assets Use it
    • Debt to equity Use it
  • Coverage
    • EBITDA to interest expense Use it
  • Sensitivity
    • Degree of financial leverage Memorize %Δ net income ÷ %Δ operating income
  • Direction
    • Leverage rising debt-funded acquisition or expansion
    • Deleveraging debt falls, coverage rises
Free cash flow to equity Memorize
FCFE=NI+D&A−ΔWC−ΔLT assets+ΔDebtFCFE = \text{NI} + \text{D\&A} - \Delta\text{WC} - \Delta\text{LT assets} + \Delta\text{Debt}
Quick example

Net income (NI) 60, depreciation and amortization (D&A) 30, increase in working capital 10, investment in long-term assets 55, net borrowing 15: 60 + 30 − 10 − 55 + 15 = 40.

On your calculator
  1. 60+30−10−55+15= 40
  1. 60ENTER30+10−55−15+ 40

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

Net capital expenditure Memorize
Net capital expenditure=capital expenditure−D&A\text{Net capital expenditure} = \text{capital expenditure} - \text{D\&A}
Quick example

Capital expenditure 2.0, D&A 1.2: 2.0 − 1.2 = 0.8, so capacity is growing. Negative means the asset base is shrinking.

Return on invested capital Memorize
ROIC=NOPATtAverage invested capitalROIC = \dfrac{\text{NOPAT}_t}{\text{Average invested capital}}
Quick example

Net operating profit after taxes (NOPAT) 54, invested capital 420 at the start and 480 at the end. 54 ÷ 450 = 12.0%.

On your calculator
  1. 420+480=÷2=STO1 450
  2. 54÷RCL1= 0.12

STO store · RCL recall a stored number

  1. 54ENTER420ENTER480+2÷÷ 0.12

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

Excess accounting return Memorize
Excess accounting return=ROIC−WACC\text{Excess accounting return} = ROIC - WACC
Quick example

ROIC 12.0%, weighted average cost of capital (WACC) 9.5%: 12.0 − 9.5 = +2.5 points. As a ratio, 12.0 ÷ 9.5 = 1.26, above 1.

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)

Degree of financial leverage with fixed interest Use it
DFL=EBITEBIT−IDFL = \frac{EBIT}{EBIT - I}
Quick example

Operating income (EBIT) 70, fixed interest 20. 70 ÷ (70 − 20) = 1.4. A shortcut that follows from the definition when interest is fixed and the tax rate 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 debt to total assets Use it
total debttotal assets\dfrac{\text{total debt}}{\text{total assets}}
Quick example

Debt 10.0, total assets 22.0: 45.5%.

On your calculator
  1. 10÷21= 0.4762
  1. 10ENTER21÷ 0.4762

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

EBITDA to interest expense Use it
EBITDAinterest expense\dfrac{\text{EBITDA}}{\text{interest expense}}
Quick example

Earnings before interest, taxes, depreciation, and amortization (EBITDA) 4.2, interest 1.0: 4.2 times.

On your calculator
  1. 4.2÷1= 4.2
  1. 4.2ENTER1÷ 4.2

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

How it is asked

  1. ROIC against WACC

    NOPAT EUR 60m, average invested capital EUR 500m, WACC 10%.

    60 ÷ 500 = 12% > 10%: an excess accounting return. Using pre-tax operating income (16%) is the trap.

  2. Change in net income from a change in operating income

    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. What raises FCFE?

    More debt, more working capital or more capital expenditure?

    More debt (net debt issuance is a source). The other two are uses.

  4. Deleveraging or not?

    Two years after a debt-funded takeover: debt 18.0 → 14.0, EBITDA to interest 2.9 → 4.0.

    Deleveraging: debt down, coverage up. A rising debt ratio or falling coverage would mean leverage is still rising.

Exam traps

  • Comparing ROIC with the cost of equity. ROIC is a return to all capital providers, so compare it with WACC.
  • Using pre-tax operating income in ROIC. Use NOPAT.
  • Treating new debt as a use of cash in FCFE. Net debt issuance adds to FCFE in the year it is raised.
  • Treating DFL as a fixed number. It rises as operating income falls toward the interest bill.
  • Reading a fall in net capital expenditure as expansion. It means less investment in long-term assets relative to D&A.
  • Dividing NOPAT by the ending invested capital. Use the average of the start and end of the period.

Checkpoint

4 exam-style questions. About 90 seconds each.

  1. 1A company's operating income is EUR 80 million and its tax rate is 25%. Its long-term liabilities plus equity averaged EUR 500 million over the year, and 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. 3Over 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:

  4. 4A company reports net income of INR 40 million and depreciation and amortization of INR 25 million. Its current assets rose INR 12 million and its current liabilities INR 4 million. It invested INR 50 million in long-term assets, borrowed INR 30 million and repaid INR 10 million of debt. Its free cash flow to equity is closest to:

Key takeaways

  • FCFE = NI + D&A − ΔWC − ΔLT assets + ΔDebt; new debt raises it, growth in working capital and long-term assets lowers it.
  • Net capital expenditure (capital expenditure − D&A) shows whether productive capacity is growing.
  • ROIC = NOPAT ÷ average invested capital; above WACC it is an excess accounting return.
  • DFL = %Δ net income ÷ %Δ operating income; debt raises it, and with it the risk of financial distress.
Free cash flow to equity Memorize
FCFE=NI+D&A−ΔWC−ΔLT assets+ΔDebtFCFE = \text{NI} + \text{D\&A} - \Delta\text{WC} - \Delta\text{LT assets} + \Delta\text{Debt}
Quick example

Net income (NI) 60, depreciation and amortization (D&A) 30, increase in working capital 10, investment in long-term assets 55, net borrowing 15: 60 + 30 − 10 − 55 + 15 = 40.

On your calculator
  1. 60+30−10−55+15= 40
  1. 60ENTER30+10−55−15+ 40

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

Net capital expenditure Memorize
Net capital expenditure=capital expenditure−D&A\text{Net capital expenditure} = \text{capital expenditure} - \text{D\&A}
Quick example

Capital expenditure 2.0, D&A 1.2: 2.0 − 1.2 = 0.8, so capacity is growing. Negative means the asset base is shrinking.

Return on invested capital Memorize
ROIC=NOPATtAverage invested capitalROIC = \dfrac{\text{NOPAT}_t}{\text{Average invested capital}}
Quick example

Net operating profit after taxes (NOPAT) 54, invested capital 420 at the start and 480 at the end. 54 ÷ 450 = 12.0%.

On your calculator
  1. 420+480=÷2=STO1 450
  2. 54÷RCL1= 0.12

STO store · RCL recall a stored number

  1. 54ENTER420ENTER480+2÷÷ 0.12

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

Excess accounting return Memorize
Excess accounting return=ROIC−WACC\text{Excess accounting return} = ROIC - WACC
Quick example

ROIC 12.0%, weighted average cost of capital (WACC) 9.5%: 12.0 − 9.5 = +2.5 points. As a ratio, 12.0 ÷ 9.5 = 1.26, above 1.

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)

Degree of financial leverage with fixed interest Use it
DFL=EBITEBIT−IDFL = \frac{EBIT}{EBIT - I}
Quick example

Operating income (EBIT) 70, fixed interest 20. 70 ÷ (70 − 20) = 1.4. A shortcut that follows from the definition when interest is fixed and the tax rate 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 debt to total assets Use it
total debttotal assets\dfrac{\text{total debt}}{\text{total assets}}
Quick example

Debt 10.0, total assets 22.0: 45.5%.

On your calculator
  1. 10÷21= 0.4762
  1. 10ENTER21÷ 0.4762

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

EBITDA to interest expense Use it
EBITDAinterest expense\dfrac{\text{EBITDA}}{\text{interest expense}}
Quick example

Earnings before interest, taxes, depreciation, and amortization (EBITDA) 4.2, interest 1.0: 4.2 times.

On your calculator
  1. 4.2÷1= 4.2
  1. 4.2ENTER1÷ 4.2

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

All Equities formulas, every lesson

Practice exam-style questions on Company Analysis

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, NOPAT divided by average long-term liabilities plus equity, with its weighted average cost of capital over several years. ROIC above WACC is an excess accounting return.

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.

How do you calculate FCFE from the income statement and balance sheet?

Start with net income, add depreciation and amortization, subtract the increase in working capital and the investment in long-term assets, and add net new borrowing (new debt minus repayments).

What is net capital expenditure?

Capital expenditure minus depreciation and amortization. Positive net capital expenditure means a company is adding to its productive capacity; negative means its asset base is shrinking.

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

  1. Competitive strategy: cost leadership, differentiation and focus
  2. Company life cycle and the addressable market
  3. Revenue drivers and pricing power
  4. Operating profitability and working capital
  5. Capital investments and capital structure

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