University of Sydney · FACULTY OF FINANCE

FINC6025 · Entrepreneurial Finance

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Chapter 7 of 12 · FINC6025

The Equity Cash Flow Method & Startup Ownership Structure

Weeks 6-7 of University of Sydney FINC6025 Entrepreneurial Finance teach the equity cash-flow method: the value of equity equals the present value of free cash flows to equity (pseudo-dividends), discounted at the equity cost of capital. It contrasts FCFE with FCFF, treats negative years as equity injections and positive years as pseudo-dividends, and links the resulting equity value to the cap table and the founder/investor split. This method and its ownership arithmetic are core case-analysis skills on the final exam.

In this chapter

What this chapter covers

  • 01Why equity DCF suits startups better than standard DCF (startups usually have no debt)
  • 02FCFE (pseudo-dividends) = Net Income + D&A - change in NWC - CapEx + Net Debt Issues; the contrast with FCFF
  • 03Negative FCFE years as equity injections; positive years as pseudo-dividends
  • 04Discount rate = the equity cost of capital, high early (e.g. 25%) falling as the venture matures (e.g. 18%)
  • 05Terminal value in the final period and the bankruptcy adjustment on the final valuation
  • 06The capitalisation table: securities, common-share-equivalents and ownership % that change every round
  • 07Ownership equation in shares: post-money = pre-money + investment; investor % = n/(m + n) = I/V_post; n = m x investor%/(1 - investor%)
  • 08Equity DCF vs the VC method: timeline, last cash flow, interim flows, discount rate, and how dilution is handled
Worked example · free

FCFE and the equity value of a venture

Q [4 marks]. A venture, CedarWorks, has no debt. In its second forecast year it expects net income of 2.0 million dollars, depreciation and amortisation of 0.4 million, an increase in net working capital of 0.5 million, and CapEx of 0.8 million, with no net debt issues. Its first-year free cash flow to equity is -0.5 million (an injection), and a terminal value of 12.0 million is estimated at the end of year 2. Using an equity cost of capital of 25%, find (a) year-2 FCFE and (b) the equity value today. (4 marks)
  • +1Year-2 FCFE = Net Income + D&A - change in NWC - CapEx + Net Debt Issues = 2.0 + 0.4 - 0.5 - 0.8 + 0 = 1.1 million dollars. (FCFE is FCFF plus the net-debt terms; with no debt those vanish.)
  • +1Treat the cash flows correctly: year 1 is a negative FCFE of -0.5 million (an equity injection), year 2 is a positive pseudo-dividend of 1.1 million, and the 12.0-million terminal value also arrives at the end of year 2. So the year-2 flow is 1.1 + 12.0 = 13.1 million.
  • +1Discount at 25%. Year 1: -0.5 / 1.25 = -0.40 million. Year 2: 13.1 / 1.25^2 = 13.1 / 1.5625 = 8.384 million.
  • +1Equity value today = -0.40 + 8.384 = 7.98 million dollars (about 8.0 million). In practice you would also apply a bankruptcy haircut to the terminal-based value before quoting a final figure.
Year-2 FCFE = 2.0 + 0.4 - 0.5 - 0.8 + 0 = 1.1 million dollars; discounting the -0.5 million injection and the 13.1-million year-2 flow (pseudo-dividend plus terminal value) at 25% gives an equity value of about 7.98 million dollars. Negative years are injections, positive years are pseudo-dividends, and the equity cost of capital is the right discount rate for the equity cash-flow method.
Sia tip — FCFE = FCFF + Net Debt Issues - after-tax interest, so for a debt-free startup FCFE and the equity view line up cleanly; the trap is discounting equity cash flows at WACC instead of the equity cost of capital. Ask Sia to re-run the valuation with the discount rate falling from 25% to 18% as the firm matures.
Glossary

Key terms

Equity cash-flow method
Valuing equity as the present value of free cash flows to equity (pseudo-dividends) discounted at the equity cost of capital. It suits startups because they usually have no debt, and negative years are treated as equity injections.
Free cash flow to equity (FCFE)
The residual cash available to equity: Net Income + D&A - change in net working capital - CapEx + Net Debt Issues. It equals FCFF minus the debt-service terms, so for a debt-free venture the two coincide up to those terms.
Pseudo-dividends
The residual equity cash flows the venture throws off year to year — positive years behave like dividends, negative years require an equity injection. Their present value at the equity cost of capital is the equity value.
Capitalisation table
The record of a startup's ownership structure: every security issued, each holder's common-share-equivalent count and ownership percentage. It changes with every financing round.
Ownership equation (shares)
With m existing shares and n new shares at price P: investor % = n/(m + n) = investment/post-money, and n = m x investor%/(1 - investor%). With an option pool o, the denominator becomes (m + n + o).
Bankruptcy adjustment
Because DCF implicitly assumes survival, the final valuation is multiplied by an estimated survival probability (a haircut). It matters most for the terminal value, where a high failure rate can roughly halve the figure.
FAQ

The Equity Cash Flow Method & Startup Ownership Structure FAQ

What is the difference between FCFF and FCFE?

FCFF is the cash available to all capital providers (EBIT after tax, plus depreciation, minus CapEx and the change in working capital), discounted at WACC. FCFE is the cash available to equity only: it adds net debt issues and subtracts after-tax interest, and is discounted at the equity cost of capital. For a debt-free startup the debt terms disappear, so the equity cash-flow method is the natural fit — just make sure you discount at the cost of equity, not WACC.

How do negative cash-flow years fit into the equity method?

They are equity injections. A startup executing its plan throws off residual cash that is negative early (when it is investing and burning) and positive later. In the equity cash-flow method you keep the sign: discount the negative years as cash the equity holders must put in, and the positive years as pseudo-dividends they receive. The present value of the whole stream, plus a terminal value, is the equity value.

How does an equity value turn into ownership percentages?

Through the ownership equation. Post-money = pre-money + investment, the investor takes investment/post-money, and in share terms the new shares are n = m x investor%/(1 - investor%), which you extend with an option pool by putting (m + n + o) in the denominator. The cap table then records each holder's common-share-equivalent count and percentage, updated every round.

Can AI help me with the equity cash-flow method in FINC6025?

Yes. Sia can walk you through an FCFE calculation, show why the equity cost of capital (not WACC) is the right rate, and drill the ownership-equation arithmetic that turns a valuation into a cap table. It explains the method and checks your working; it does not complete graded assessment, and the University of Sydney academic-integrity policy applies.

Study strategy

Exam move

Weeks 6-7 join two skills: valuing equity and splitting ownership. Drill the FCFE formula and, above all, the discipline of discounting equity flows at the equity cost of capital rather than WACC, keeping the sign on negative injection years. Then practise the ownership equation in shares until you can go from a pre/post-money and an investment straight to n new shares and each holder's percentage, including an option pool in the denominator. Keep a side-by-side of equity DCF versus the VC method (timeline, last cash flow, how dilution enters) because the exam likes to test the contrast. Rehearse with fresh numbers under time pressure and confirm the exam's expectations on Canvas.

Working through The Equity Cash Flow Method & Startup Ownership Structure in FINC6025? Sia is AskSia’s AI Finance tutor — ask any FINC6025 The Equity Cash Flow Method & Startup Ownership Structure question and get a clear, step-by-step explanation grounded in how FINC6025 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.

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