Math Problem Statement

NewRocket GmbH is a aerospace company founded by two researchers from the Technical University of Munich. Currently, the company employs 18 people, including the founders. To finance the first small batch production line, the founders decide to raise their seed round from professional investors. To cover the expected expenses of the next 24 months, the founding team decides to raise 6 Mn. € of external capital. After several weeks of close exchange and negotiations with potential investors, the single seed investor AlphaStar is willing to sign a term sheet at a 18 Mn. € pre-money valuation. 

The 30.000 founding shares are distributed among the founders according to the initial capital they've provided to fund the first months of research and product development prior to the seed round. Since the second founder provided only a third of the initial capital, 10.000 of the founding shares are assigned to her.

Eighteen months after raising their seed round, the team has grown to 38 people and is eager to start the serial production of their production line. To fund the upcoming cost, the founders decide to raise a series A financing round. After assessing multiple term sheets, the founders sign a term sheet with Betaplus Capital over an investment amount of 12 Mn. € at a 40 Mn. € pre-money valuation. 

Which percentage of dilution has the stake of AlphaStar to bear in the A-round?

Question 53Answer

a.

23.08%

b.

16.62%

c.

27.00%

d.

None of the given answers is correct.

Solution

To determine the percentage of dilution that AlphaStar's stake will bear in the Series A round, we first need to understand how the valuation and new investment affect the ownership percentages. Let's follow the steps to calculate this:

Step-by-Step Calculation

  1. Calculate AlphaStar's Stake After Seed Round:

    • Pre-money valuation (Seed Round): 18 million €
    • Investment Amount (Seed Round): 6 million €
    • Post-money valuation (Seed Round): 18 million € + 6 million € = 24 million €
    • AlphaStar's Ownership After Seed Round: 6 million €24 million €=0.25\frac{6 \text{ million €}}{24 \text{ million €}} = 0.25 or 25%
  2. Calculate AlphaStar's Stake Before Series A:

    • Pre-money valuation (Series A): 40 million €
    • Investment Amount (Series A): 12 million €
    • Post-money valuation (Series A): 40 million € + 12 million € = 52 million €
    • AlphaStar's Stake Before Series A: 25%
  3. Calculate AlphaStar's Stake After Series A:

    • After Series A, the ownership of AlphaStar is diluted by the new investment.

    • New AlphaStar's Stake: 0.25×40 million €52 million €\frac{0.25 \times 40 \text{ million €}}{52 \text{ million €}}

      Simplifying the fraction: 0.25×4052=1052=5260.1923 or 19.23\frac{0.25 \times 40}{52} = \frac{10}{52} = \frac{5}{26} \approx 0.1923 \text{ or } 19.23%

  4. Calculate the Percentage of Dilution:

    • AlphaStar's ownership went from 25% to 19.23%.
    • The percentage of dilution is: 25%19.23%25%×100=5.7725×10023.08%\frac{25\% - 19.23\%}{25\%} \times 100 = \frac{5.77}{25} \times 100 \approx 23.08\%

Answer

The percentage of dilution that AlphaStar's stake bears in the Series A round is approximately 23.08%.

Thus, the correct answer is:

a. 23.08%


Would you like any further details or have any other questions? Here are some related questions you might find interesting:

  1. How do pre-money and post-money valuations affect ownership percentages?
  2. What factors do investors consider when determining company valuations?
  3. How is share dilution calculated in subsequent funding rounds?
  4. What are the differences between seed, Series A, and subsequent funding rounds?
  5. How do founders typically retain control over their companies through multiple funding rounds?

Tip: When raising capital, it’s crucial to understand how each round of funding impacts your ownership and the overall capitalization table of the company.