FINC6025 · Entrepreneurial Finance
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.
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
Building up a venture discount rate
- +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.
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.
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.
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.
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