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Valuation determines the economic worth of an asset, company, or investment. You use it to make buy/sell decisions, secure funding, negotiate mergers, or assess financial health.
Poor valuation leads to bad deals, lost money, or legal trouble.
Present Value = Future Cash Flow / (1 + Discount Rate)^Time
Step 1: Project free cash flows (FCF) for 5–10 years.- FCF = Net Income + Depreciation – CapEx – Change in Working Capital.
Step 2: Estimate terminal value (value beyond projection period).- Perpetuity method: Terminal Value = FCF_final_year × (1 + g) / (r – g) - g = long-term growth rate (e.g., 2–3% for mature companies). - r = discount rate.
Terminal Value = FCF_final_year × (1 + g) / (r – g)
g
r
Step 3: Discount all cash flows to present value.- Use Excel or Python to sum: ```python import numpy_financial as npf
cash_flows = [-100, 50, 60, 70, 80, 1000] # Includes terminal value discount_rate = 0.10 npv = npf.npv(discount_rate, cash_flows) print(f"NPV: ${npv:.2f}") ```
Step 4: Adjust for debt, cash, and non-operating assets.- Enterprise Value (EV) = NPV of FCF.- Equity Value = EV – Debt + Cash.
numpy_financial
pandas
Step 1: Project cash flows (Year 1–3).| Year | Revenue | Expenses | FCF | |------|---------|----------|------| | 1 | $10,000 | $6,000 | $4,000 | | 2 | $12,000 | $7,000 | $5,000 | | 3 | $15,000 | $8,000 | $7,000 |
Step 2: Estimate terminal value (assume 3% growth, 10% discount rate).- Terminal Value = $7,000 × (1.03) / (0.10 – 0.03) = $103,000
Terminal Value = $7,000 × (1.03) / (0.10 – 0.03) = $103,000
Step 3: Discount all cash flows.- Year 1: $4,000 / (1.10)^1 = $3,636 - Year 2: $5,000 / (1.10)^2 = $4,132 - Year 3: ($7,000 + $103,000) / (1.10)^3 = $85,124 - Total NPV = $3,636 + $4,132 + $85,124 = $92,892
$4,000 / (1.10)^1 = $3,636
$5,000 / (1.10)^2 = $4,132
($7,000 + $103,000) / (1.10)^3 = $85,124
$3,636 + $4,132 + $85,124 = $92,892
Step 4: Adjust for debt/cash.- Assume $2,000 debt, $1,000 cash.- Equity Value = $92,892 – $2,000 + $1,000 = $91,892
$92,892 – $2,000 + $1,000 = $91,892
Expected Outcome: The lemonade stand is worth ~$92K to an investor.
$50K / 0.08 = $625K
A startup generates $100K in revenue and has 5 comparable companies trading at 5× revenue. What’s its estimated valuation using the multiples method?
A) $20K B) $500K C) $1M D) $5M
Correct Answer: B) $500K- Explanation: Valuation = Revenue × Multiple = $100K × 5 = $500K.- Why the Distractors Are Tempting: - A) Misreads the multiple as 0.2× (5× = 5, not 0.2). - C) Assumes 10× multiple (common for high-growth startups, but not given). - D) Confuses revenue with profit (multiples are applied to revenue here).
You’re valuing a company using DCF. Its free cash flow next year is $100K, growing at 3% annually. Your discount rate is 10%. What’s the terminal value (perpetuity method)?
A) $1M B) $1.43M C) $1.5M D) $3.33M
Correct Answer: B) $1.43M- Explanation: Terminal Value = FCF × (1 + g) / (r – g) = $100K × 1.03 / (0.10 – 0.03) = $1.43M.- Why the Distractors Are Tempting: - A) Forgets to grow FCF by 3% ($100K / 0.10 = $1M). - C) Uses the wrong formula ($100K / (0.10 – 0.03) = $1.43M, but misses the 1.03 growth). - D) Applies the discount rate to the wrong term ($100K / 0.03 = $3.33M).
$100K / 0.10 = $1M
$100K / (0.10 – 0.03) = $1.43M
$100K / 0.03 = $3.33M
Which valuation method is least suitable for a pre-revenue biotech startup?
A) DCF B) Multiples C) Cost approach D) Venture capital method
Correct Answer: A) DCF- Explanation: DCF requires predictable cash flows, which pre-revenue startups lack.- Why the Distractors Are Tempting: - B) Multiples are used (e.g., "biotech startups trade at $X per patent"), but they’re speculative. - C) Cost approach works (e.g., "How much did R&D cost?"). - D) VC method (e.g., "What’s the target return at exit?") is common for early-stage startups.
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