University of Sydney · FACULTY OF FINANCE

FINC6025 · Entrepreneurial Finance

- one subject, every graph, every model, every mark
Finance14 Chapters9-page Bible
Our own words - no uploaded lecturer files
Updated for this semester
Chapter 6 of 12 · FINC6025

Risk, Expected Return & the Cost of Capital for Startups

Weeks 5-7 of University of Sydney FINC6025 Entrepreneurial Finance explain why startup discount rates are so high. It builds from expected return and risk to a build-up venture cost of capital, r = rf + IRP + AP + HPP + LP, where the investment risk premium is beta times the market risk premium and the extra premia compensate investors for moral hazard, adverse selection and illiquidity. It also covers unlevering peer betas with the Hamada equation. The build-up rate is the discount rate used in the equity cash-flow and VC methods, so it is examined both directly and inside valuation questions.

In this chapter

What this chapter covers

  • 01Expected return and risk (mean-variance intuition) and why diversification changes the picture for a single high-beta startup
  • 02WACC = (D/V) x rd x (1 - t) + (E/V) x re; financial risk (capital structure) vs business risk (in re)
  • 03The venture cost of equity as a build-up: r = rf + IRP + AP + HPP + LP
  • 04IRP = beta x (rm - rf), the standard equity-market risk premium; market risk premium about 5-6% (closer to 6% for Australia)
  • 05AP (advisory premium) for moral hazard, HPP (hubris projection premium) for adverse selection, LP (liquidity premium) for exit-timing uncertainty
  • 06Why the friction premia (AP + HPP + LP) decline toward zero as the venture matures; using a high rate early that falls later
  • 07Unlevering peer betas with the Hamada equation: beta_unlevered = beta_peer / [1 + (1 - t)(D/E)]
  • 08Cumulated cost of capital when the discount rate changes over time
Worked example · free

Building up a venture discount rate

Q [4 marks]. An investor is setting a discount rate for an early-stage venture, NimbusRobotics. The risk-free rate is 4%. Comparable listed firms suggest an equity beta of 1.8 and the market risk premium is 6%. The investor adds an advisory premium of 2% for moral hazard, a hubris projection premium of 15% for over-optimistic forecasts (adverse selection), and a liquidity premium of 9% for exit-timing uncertainty. (a) Find the investment risk premium and (b) the total venture cost of equity, and (c) say what happens to the rate as the venture matures. (4 marks)
  • +1Investment risk premium IRP = beta x (rm - rf) = 1.8 x 6% = 10.8%. This is the standard equity-market risk premium that compensates all equity owners for systematic risk.
  • +1Assemble the build-up: r = rf + IRP + AP + HPP + LP = 4% + 10.8% + 2% + 15% + 9%.
  • +1Sum: r = 4 + 10.8 + 2 + 15 + 9 = 40.8%. The very high rate is dominated by the friction premia (AP + HPP + LP = 26%), not by market risk alone.
  • +1As the venture matures the friction premia (AP, HPP, LP) shrink toward zero because information asymmetry and illiquidity fall, so the discount rate declines over time (for example from a high early rate toward something closer to rf + IRP). This is why valuations often model a high rate early that falls later.
IRP = 1.8 x 6% = 10.8%; total venture cost of equity r = 4 + 10.8 + 2 + 15 + 9 = 40.8%. Most of the rate comes from the friction premia (26%) that compensate the investor for moral hazard, adverse selection and illiquidity; as the venture matures those premia fall toward zero and the rate declines, consistent with the power-law world where investors need very high returns.
Sia tip — Keep the five components straight: rf and IRP compensate all equity owners for time value and market risk, while AP, HPP and LP are friction premia that only external investors demand and that decay as the venture matures. Ask Sia to strip the friction premia out and show how the same venture's rate would fall as it de-risks.
Glossary

Key terms

Venture cost of equity (build-up)
The required return on a venture's equity, assembled as r = rf + IRP + AP + HPP + LP: a risk-free rate, an investment risk premium, and premia for moral hazard, adverse selection and illiquidity.
Investment risk premium (IRP)
The systematic-risk component, IRP = beta x (rm - rf), i.e. beta times the market risk premium. It compensates all equity owners and is the only friction-free part of the build-up.
Advisory & hubris premia (AP, HPP)
AP compensates investors for the cost of dealing with moral hazard (unobservable effort); HPP compensates for adverse selection and over-optimistic founder forecasts. Both are friction premia that fall as the venture matures.
Liquidity premium (LP)
Compensation for uncertainty over when the illiquid investment can be exited. Like AP and HPP, it declines as the venture nears a liquidity event.
WACC
The blended required return, WACC = (D/V) x rd x (1 - t) + (E/V) x re, reflecting time value, business and financial risk, and the debt tax shield. For startups with little or no debt it collapses toward the cost of equity.
Hamada equation
The relation used to strip leverage out of a peer's equity beta before re-levering to your firm: beta_unlevered = beta_peer / [1 + (1 - t)(D_peer/E_peer)]. It isolates business risk from the peer's capital structure.
FAQ

Risk, Expected Return & the Cost of Capital for Startups FAQ

Why are startup discount rates so high?

Because on top of the ordinary market risk premium, investors demand extra return for three frictions: moral hazard (the advisory premium), adverse selection and optimistic forecasts (the hubris projection premium), and illiquidity (the liquidity premium). In a typical build-up these friction premia can dwarf the market-risk component, pushing the required return to 30-40% or more. The high rate is the flip side of the power law: investors need large returns on winners to offset the many that fail.

Which parts of the build-up rate fall as a venture matures?

The friction premia — AP, HPP and LP — decline toward zero because information asymmetry and illiquidity shrink as the venture builds a track record and nears a liquidity event. The risk-free rate and the investment risk premium (beta times the market risk premium) remain. That is why valuation models often use a high discount rate in the early years that falls in later years, rather than a single constant rate.

Why do I unlever a peer's beta with the Hamada equation?

Because a listed peer's equity beta reflects both its business risk and its financial leverage. To isolate the business risk relevant to your venture you strip the peer's leverage out with beta_unlevered = beta_peer / [1 + (1 - t)(D/E)], then re-lever to your own (usually near-zero-debt) structure. This gives a cleaner input to the investment risk premium than using the raw peer beta.

Can AI help me with the FINC6025 cost-of-capital material?

Yes. Sia can drill the five components of the build-up rate, walk through unlevering a beta, and check whether you have placed AP, HPP and LP correctly as friction premia. It teaches the method and checks your reasoning; it does not do graded assessment, and the University of Sydney academic-integrity policy applies, so confirm details on Canvas.

Study strategy

Exam move

Make the build-up rate second nature: r = rf + IRP + AP + HPP + LP, with IRP = beta x (rm - rf). Practise assembling it from components and, crucially, be able to explain what each premium compensates for and which ones decay with maturity — that explanation is a repeat short-answer target. Learn the Hamada unlevering formula and when to use it, and keep the WACC formula handy even though startups lean on the cost of equity. Because this rate is the discount rate in the equity cash-flow and VC methods, rehearse it alongside those chapters rather than in isolation. Confirm the exam's formula expectations on Canvas.

Working through Risk, Expected Return & the Cost of Capital for Startups in FINC6025? Sia is AskSia’s AI Finance tutor — ask any FINC6025 Risk, Expected Return & the Cost of Capital for Startups 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.

A+Everything unlocked
Unlocks this Bible + all 13 of your University of Sydney subjects - and 1,000+ Bibles across every Australian university.
Sia - your FINC6025 tutor, unlimited, worked the way the exam marks it
The full 9-page Bible + practice bank with worked solutions
Chrome extension - sync your LMS so Sia knows your deadlines
Bilingual EN / Chinese on every Bible and every Sia answer
$25/ month
30-day money-back · cancel in one tap · how it works
Unlock the full FINC6025 Bible + 13 University of Sydney subjects解锁完整 FINC6025 Bible + University of Sydney 13 门科目
$25/mo