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Lesson 3 of 12 · Free

Venture capital and angel investing: the power law, dilution across rounds, pro-rata rights and realistic loss rates

Model how an early stake is diluted through seed, Series A and B, calculate the cost of pro-rata rights, and judge a venture portfolio under power-law outcomes.

Author: Moustafa HijaziContent reviewed: 2026-10-305 min readSelf-study course

What you will learn

  • How venture capital differs from buyouts and why returns follow a power law
  • How to calculate ownership after each financing round, including option pools
  • What pro-rata rights cost and when they are worth exercising
  • How to plan a venture or angel portfolio around a high loss rate

Explanation

Venture capital (VC) finances young companies that are not yet profitable, in exchange for shares. Angel investors do the same with their own money at the earliest stage, often before a VC fund is involved. The founder's side (term sheets, negotiation) is covered in the course "Business Financing"; this lesson takes the investor's side.

The power law

Buyout returns cluster: most deals return somewhere between 1× and 3×. Venture returns follow a power law: most investments return little or nothing, a few return several times their cost, and a very small number return 20×, 50× or more and account for most of a portfolio's profit. Two consequences follow. First, a portfolio of fewer than roughly fifteen to twenty early-stage positions is more a lottery ticket than a portfolio, because it may simply not contain a winner. Second, the key question for each deal is not "how much can I lose?" (everything) but "if this works, can it return the whole portfolio?"

Loss rates in early-stage investing are high. Rather than quoting a percentage that depends on the sample, plan on the assumption that around half of a seed portfolio returns nothing and only one or two positions in ten drive the result. If a pitch deck or platform claims otherwise, ask for the full list of past investments including the failures.

Dilution across rounds

Each new round issues new shares, so every existing holder's percentage falls unless they buy more. The formula for one round:

ownership after = ownership before × (1 − new shares issued as % of post-round shares)

Rounds often also enlarge the employee option pool before the new money arrives ("pre-money option pool"), which dilutes existing holders but not the new investor. Pre-money valuation is the agreed value before the new cash; post-money = pre-money + new money. The new investor's share = new money / post-money.

Pro-rata rights

A pro-rata right lets an existing investor buy enough of each new round to keep their percentage. By the time of a Series B the investor knows far more than at seed, so the right is valuable, but the cost rises each round; a realistic angel budget reserves as much for follow-ons as for first cheques.

Liquidation preferences

VC shares usually carry a liquidation preference: in a sale, preferred holders get their money back (1×, sometimes more) before common shareholders split the rest. An angel holding common shares, or an early preferred that ranks below later rounds, can receive little in a modest exit even if the headline price looks good.

Worked example

Hypothetical example: an angel invests €25,000 at a €2.5 million post-money valuation, so owns 1.0%.

  • Seed round: option pool enlarged by 10% of post-pool shares, then new investors take 20%. Ownership: 1.0% × 0.90 × 0.80 = 0.72%.
  • Series A: new investors take 25%. Ownership: 0.72% × 0.75 = 0.54%.
  • Series B: new investors take 20%. Ownership: 0.54% × 0.80 = 0.432%.

If the company is sold for €80 million eight years later and the angel's shares are not pushed aside by preferences, the angel receives 0.432% × €80 million = €345,600, a 13.8× multiple on €25,000, or about 39% per year.

With pro-rata rights: to stay at 1.0% the angel buys 1% of each round's new money. Assume seed €2 million, Series A €7.5 million, Series B €20 million: follow-on cost €20,000 + €75,000 + €200,000 = €295,000. Total invested €320,000; exit proceeds 1% × €80 million = €800,000; multiple 2.5×, about 12.1% per year. The absolute gain is larger (€480,000 against €320,600) but the later cheques earned a much lower multiple because they were bought at higher prices. The rule: exercise pro-rata when the new information is strongly positive, not automatically.

Portfolio view: ten angel cheques of €10,000. Five return zero, three return 1×, one returns 3× and one returns 20×. Total back: €0 + €30,000 + €30,000 + €200,000 = €260,000 on €100,000, a 2.6× multiple, about 12.7% per year over eight years. Remove the single 20× winner and the portfolio returns €60,000, a loss of 40%. Legal, platform and tax costs are excluded.

Common mistake

Valuing the stake at the latest round priceA Series B at a €100 million valuation does not mean an angel's 0.432% is "worth" €432,000. That price was paid for preferred shares with their own protections, for a minority stake, in an illiquid company. Until a sale or listing, the realistic value of an early stake is unknown and may be zero. Do not count paper gains in your net worth or your risk budget.

Practice activity

On paper: you own 2.0% of a start-up. The next round enlarges the option pool by 5% and new investors take 30%. The round raises €6 million. (a) What is your ownership after the round? (b) How much would it cost to hold your 2.0% through pro-rata?

Show solution

(a) 2.0% × 0.95 × 0.70 = 1.33%. (b) Pro-rata on new money: 2.0% × €6 million = €120,000. Note that the pool enlargement still dilutes you slightly even if you take your full pro-rata of the new money.

Limitations: real cap tables also include convertible notes, warrants and anti-dilution clauses that change the arithmetic.

Key takeaways

  • Venture returns follow a power law: a single large winner decides the portfolio, so size the portfolio to contain one.
  • Calculate ownership round by round, including option-pool enlargements, and expect it to fall by more than half before an exit.
  • Pro-rata rights are valuable but expensive; budget for follow-ons and exercise them selectively.
  • Liquidation preferences and illiquidity mean a paper valuation is not money.

Next step

Next you will move from private companies to hedge funds and learn how long-short, macro, CTA and arbitrage strategies, fee terms and UCITS versions differ.

Self-check

Answer the questions, then check your answers. You can retry as often as you like.

1. You own 1.5% before a round in which new investors take 25% and there is no option-pool change. What do you own afterwards?

2. Why does a portfolio of five early-stage investments carry a special risk even if each company is promising?

3. A start-up is sold for €12 million. Later investors hold a 1× liquidation preference on €10 million invested. You hold 3% as common shares. Roughly what do you receive?

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