Valuation and Capital Budgeting Questions

Framework / approach:

• Clarify assumptions, compute annual contribution margin (CM), apply multiple, show sensitivity, list inputs and risks.

Key inputs / assumptions needed:

• MAUs: 500,000 monthly active riders (given)
• Contribution margin per rider per month: $1.50 (given)
• Churn / retention assumptions (affects sustainable MAU)
• Growth rate (organic / paid) – affects forward-looking multiple
• Overhead / integration costs (one-time + ongoing) if acquired
• Customer overlap with Lyft (cannibalization)
• Macro and regulatory environment (affects multiple)

Back-of-envelope valuation:

• Monthly contribution = 500,000 riders * $1.50 = $750,000
• Annualized contribution margin = $750,000 * 12 = $9,000,000
• Apply 6x multiple (as stated): 6 * $9M = $54,000,000

Sensitivity examples:

• If CM/rider = $1.20 → annual CM = $7.2M → valuation = $43.2M
• If retention drops 20% effective MAU → annual CM = $7.2M → valuation = $43.2M
• If multiple varies (4x–8x) → valuation range = $36M–$72M

Key risks to this valuation:

• Revenue quality / sustainability: MAU may be seasonal or low-engagement; $1.50 may not persist.
• Churn and retention: high churn reduces lifetime value and effective annual CM.
• Overlap & cannibalization: existing Lyft riders could shift, reducing net incremental value.
• Integration costs and execution risk: tech, ops, and cultural integration can erode margins.
• Regulatory and competitive risk: local regulations or aggressive competitors can pressure margins.
• Multiple appropriateness: 6x assumes similar growth/scale; smaller, slower targets typically justify lower multiples.

How I’d proceed as PM:

• Validate CM per rider with finance; run cohort retention analysis; estimate overlap via user surveys / hashed ID match; model integration costs; build a 3‑year pro forma to refine an offer range and contingencies.

Step 1 — NPV if you invest now (t=0)

• Cash flows: $10M/year for 10 years. Present value factor for a 10-year annuity at 10%: (1 − 1/1.1^10)/0.1 ≈ 6.14457.
• PV of revenues = 10 × 6.14457 = $61.4457M.
• NPV_now = PV − cost = 61.4457 − 50 = $11.4457M.

Step 2 — Expected NPV if you wait one year (decide at t=1)

• If you wait, at t=1 there are two outcomes:
  • 60%: revenues = $20M/year → PV_at1 = 20 × 6.14457 = $122.8914 → NPV_at1 = 122.8914 − 50 = $72.8914
  • 40%: revenues = $5M/year → PV_at1 = 5 × 6.14457 = $30.72285 → NPV_at1 = 30.72285 − 50 = −$19.27715
• Expected NPV at t=1 = 0.6×72.8914 + 0.4×(−19.27715) = $36.02398M.
• Discount back one year to t=0: Expected NPV_wait = 36.02398 / 1.1 = $32.74816M.

Decision

• Compare NPVs at t=0: invest now = $11.45M vs. wait = $32.75M (expected, discounted).
• Recommendation: wait one year — the option to wait and learn has higher expected value.

Intuition about option value

• Waiting gives you a real option: you pay the same cost later but you gain information that lets you invest only when payoff is high or avoid investing when payoff is poor. That asymmetric upside (large gain when $20M outcome occurs) increases expected value enough to overcome the delay/discounting. The calculation above is a simple expected-value real-options view; more sophisticated approaches (e.g., modeling volatility or the ability to abandon mid-stream) typically increase the value of waiting further.