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Home » Using the formula for distance under constant acceleration: \( d = \frac12 a t^2 \) - Get link 4share

Using the formula for distance under constant acceleration: \( d = \frac12 a t^2 \) - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A biotech startup has a valuation of $1.2 million. An investor buys equity at a 20% discount to the next funding round. If the next round values the company at $5 million pre-money, how much equity does the investor get for $400,000?

📌 Discounted price per share = 80% of next round’s valuation price

📌 Next round: $5M pre-money → implied price = $5M / $5M = $1M per $1M cap? But instead, use equity formula:

📌 Investor gets (Investment) / (Pre-money valuation) × (1 – discount)

📌 = $400,000 / ($5,000,000 / $400,000) × (1 – 0.20)

📌 Better: Fractional ownership = $400,000 / ($5,000,000 × 0.80) = $400,000 / $4,000,000 = 0.10

📌 Alternatively: investor gets $400K / $5M = 8% at full pricing → 8% × 0.80 = 6.4%

📌 But correct method:

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