Finance Formulas

Financial Statement Analysis

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Free Cash Flow to Equity

Builds onFree Cash Flow to the Firm — if this page feels steep, start there.

FCFE=FCFFInt(1t)+Net borrowingFCFE = FCFF - Int(1-t) + \text{Net borrowing}

Reading the notation

FCFFFCFF
free cash flow to the firm: cash available to lenders and owners together
Int(1t)Int(1-t)
after-tax interest: removed here, since it belongs to lenders, not equity
Net borrowing\text{Net borrowing}
new debt raised minus debt repaid this year — cash that flows to or from equity holders through the financing decision
FCFEFCFE
cash available to equity holders alone, before any actual dividend or buyback decision

Why it must be true

FCFF is cash for EVERYONE who financed the firm — lenders and owners together. FCFE narrows the question to just the owners: after the firm pays its lenders their after-tax interest, and after accounting for whatever new borrowing or repayment happened this year, how much cash is left that belongs to shareholders alone?

Net borrowing is the swing factor that makes this more than "subtract interest": a firm that borrows MORE this year hands equity holders extra cash today (funded by future obligations), while a firm paying down debt uses shareholders' cash to do it. Same operating business, very different FCFE, depending purely on the financing decision.

The derivation

Start from FCFF — cash available to all capital before any financing split:

FCFFFCFF

Remove the after-tax interest that belongs to lenders, since FCFE is the equity-only slice:

FCFFInt(1t)FCFF - Int(1-t)

Add back net new borrowing — cash that came IN from issuing debt (or left, if debt was repaid), which changes how much cash equity holders get to keep this year without changing the underlying operating business at all:

FCFE=FCFFInt(1t)+Net borrowingFCFE = FCFF - Int(1-t) + \text{Net borrowing}

FCFE is the number a dividend-discount-model purist really wants: not what the firm PAID shareholders, but what it COULD have paid them, before any decision about dividends or buybacks.

When to reach for it

Valuing equity directly via discounted cash flow (discounted at the cost of equity, not WACC), especially when a company's actual dividends don't reflect its true cash-generating capacity.

Listen for

free cash flow to equity (FCFE)cash available to common shareholdersdiscounted at the cost of equityan alternative to the dividend discount model

Back-of-the-envelope

Estimate it in your head first — then the calculator only confirms.

  • FCFE removes the lender's after-tax interest and adds back the financing swing (net borrowing) — two moves, not one.

  • Net borrowing can be negative: if the firm repaid more debt than it issued, FCFE < FCFF - Int(1-t). A negative net-borrowing case is common and not an error.

  • Discount-rate pairing: FCFF pairs with WACC (values the whole firm); FCFE pairs with the cost of equity alone (values equity directly). Mixing the two is the most common downstream mistake.

Traps in applying it

  • Forgetting to tax-affect the interest removed — it must be the same Int(1-t) used in FCFF, not pre-tax interest.
  • Treating net borrowing as always positive — a deleveraging firm has negative net borrowing, which REDUCES FCFE.
  • Confusing FCFE with actual dividends paid — FCFE is the CAPACITY to distribute cash, not a record of what was distributed.

Limits & criticisms

FCFE inherits every assumption baked into FCFF, plus a forecasting problem of its own: projecting net borrowing requires assuming a firm's future financing behavior, which is often less predictable than its operations. A highly levered or serially refinancing firm can show volatile, hard-to-forecast FCFE even when its underlying operating cash flow (FCFF) is stable — which is exactly why some analysts prefer FCFF-and-WACC valuation for capital-structure-heavy businesses.

Where it came from

FCFE completes the free-cash-flow framework built out alongside FCFF during the shareholder-value movement of the 1980s, and it directly addresses a known weakness of the dividend discount model: many companies pay dividends that don't reflect their true capacity to pay. Analysts use FCFE precisely when a firm's dividend policy looks unrelated to its cash-generating ability — paying too little (hoarding cash) or too much (funded by borrowing) — since FCFE estimates what COULD be distributed, discounted at the cost of equity rather than WACC.

One identity, 2 questions

The exam can hide any variable. Each face below is the same equation solved for a different unknown — drill them separately.

Cash for equity holders alone

FCFE=FCFFInt(1t)+Net borrowingFCFE = FCFF - Int(1-t) + \text{Net borrowing}

The equity-DCF input face: what a shareholder-focused valuation model discounts at the cost of equity.

Drill this face →

Net borrowing implied by a target FCFE

Net borrowing=FCFEFCFF+Int(1t)\text{Net borrowing} = FCFE - FCFF + Int(1-t)

The reverse-engineering face: infer the financing assumption a target FCFE requires.

Drill this face →

On the BA II Plus

Worked example: FCFF $240.00m; interest expense $10.00m; tax rate 24%; net borrowing $15.00m. Compute free cash flow to equity.

  1. 1.10 [×] (1 [−] 0.24) [=]after-tax interest
  2. 2.240 [−] [RCL] [+] 15 [=]FCFE

$247.40