Module 1: Numeric Questions

For students

Last updated: 17/08/2025 09:58

The questions are based on or inspired by the following references:


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📘 Part 1 (until Midterm)

Module Chapter Slides T/F MCQ Numeric Long
1 ch23 🎞️ 🔢 📝

Answer the following questions based on the discussions in class.

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Q1.

Post-money valuation and ownership

You founded your company with 0.051 million and received 1 million shares.
You later sold 0.75 million shares to angel investors.
Now a VC wants to invest 3 million in exchange for 2 million shares.

1. What is the post-money valuation (in million)?
2. What percentage of the firm will the VC own?
3. What is the value of your shares (in million)?
Q2.

Capital raised and founder dilution

A company raised capital in three rounds (values in millions USD):

Series A: Pre = 3.368, Post = 6.287

Series B: Pre = 38.243, Post = 77.473

Series C: Pre = 132.115, Post = 184.012

1. How much did the company raise in Series A?
2. How much did the company raise in Series B?
3. How much did the company raise in Series C?
4. What % of shares did founders keep after Series A?
5. What % of shares did founders keep after Series B?
6. What % of shares did founders keep after Series C?
Q3.

Post-money valuation and VC ownership

You founded a firm three years ago. You started with $0.216 million, which gave you 1.235 million shares. You later sold 1.331 million shares to angel investors. Now, a VC firm wants to invest $5.708 million in exchange for 2.705 million new shares.

1. What is the post-money valuation (in million)?
2. What percentage of the firm will the VC own?
Q4.

Valuation and Ownership After Equity Issuance

Erica owns all 4 million shares of her company, CoralTech. A new partner is offering to invest 2.343 million in exchange for 1.5 million shares.

1. What is the post-money valuation (in million)?
2. What percentage of the company will the new partner own?
Q5.

Ownership After Two Funding Rounds

After a Series A round, the founders owned 72.1% of BetaVision.
Then, Series B investors contributed 4.347 million and received 22.3% of the company.

1. What is the founders’ final ownership (%)?
Q6.

Convertible Note with Discount

Context:
Yara invested in a startup using a convertible note of $1.426 million, with a 20% discount.
When the company raised Series A at $1.16 per share, her note converted at the discounted price.

1. How many shares did Yara receive upon conversion?

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