Reverse Dcf

Reverse DCF: Deriving Market-Implied Expectations

Core Idea

Forward DCF: given assumptions, calculate a target price. The parameters can be adjusted arbitrarily and end up "serving the conclusion."

Reverse DCF: given the market price, back-solve the implied growth rate and translate "expensive" or "cheap" into a verifiable proposition.

The essential difference:

• Forward DCF outputs "fair value." It is abstract, and you can always be right, but your wallet will not get any thicker.
• Reverse DCF outputs "market expectations": specific, verifiable numbers that can be compared with reality.

Applicability

Necessary condition: base-year FCFF must be positive.

Applying a standard two-stage DCF to companies with negative FCFF, such as early-stage high-growth companies or companies in an asset-heavy expansion phase, produces meaningless results.

Alternative: use PS-implied revenue back-solving (see "Handling Special Cases" below).

Data requirements:

• Latest complete annual report (income statement, balance sheet, and cash flow statement)
• Current stock price/market capitalization
• Details of interest-bearing debt (short-term borrowings, long-term borrowings, lease liabilities, etc.)
• Risk-free rate (10-year government bond yield)
• Industry β and ERP (Damodaran data recommended)

Practical Steps

Step 1: Determine Enterprise Value (EV)

EV = Market Capitalization + Net Debt
Net Debt = Interest-Bearing Debt - Cash and Cash Equivalents - Financial Assets Held for Trading

Notes:

• For companies like SK Hynix that are in a "net cash" position (cash > interest-bearing debt), EV will be lower than market capitalization.
• For A-share companies, check whether financial assets held for trading include wealth management products, which are treated as cash equivalents.
• STAR Market companies often have large amounts of IPO or financing proceeds sitting on the balance sheet, so EV may be far lower than market capitalization.

Step 2: Calculate Base-Year FCFF (the core step and the easiest place to make mistakes)

Recommended Method A: Back-solve from CFO (most reliable in practice)

FCFF = CFO - Capex + After-Tax Interest Expense

• CFO = net cash flow from operating activities (audited real cash).
• Capex = cash paid to acquire and construct fixed assets and intangible assets.
• Net-cash companies: after-tax interest ≈ 0.

Verification Method B: Bottom-up from NOPAT

NOPAT = Operating Profit × (1 - Effective Tax Rate)
FCFF = NOPAT + D&A - Capex - ΔWC

• Effective tax rate ≠ statutory tax rate (for example, South Korea's statutory rate is 24%, while SK Hynix's effective rate is only 14.9%).
• D&A = depreciation and amortization.
• ΔWC = increase in working capital (changes in inventory + accounts receivable + prepayments - accounts payable - contract liabilities).
• Cross-check the two methods and take the average.

Important: the base year determines everything

• Using FCFF at the top of the cycle → implied CAGR is understated.
• Using cycle-median FCFF → implied CAGR is on the high side.
• This is a judgment, not a calculation.

Step 3: Build the WACC

Re = Rf + β × ERP
WACC = Re × We + Rd×(1-t) × Wd

Suggested parameter sources:

Step 4: Two-Stage DCF Model

EV = Σ [FCFF₀ × (1+g₁)ᵗ / (1+WACC)ᵗ] + [FCFF₁₀ × (1+g₂) / (WACC-g₂)] / (1+WACC)¹⁰

Where:

• g₁ = annualized FCFF growth rate during the explicit forecast period (10 years) ← the target to back-solve
• g₂ = perpetual growth rate (usually 2.5-3%, approximately nominal GDP growth)
• FCFF₁₀ = FCFF₀ × (1+g₁)¹⁰ × (1+g₂)

Forward DCF: given g₁ and g₂, solve for EV.

Reverse DCF: given EV and g₂, solve for g₁.

Step 5: Build a Sensitivity Table

              Perpetual growth g₂
            1.5%  2.0%  2.5%  3.0%  3.5%
     18%     xxx   xxx   xxx   xxx   xxx
CAGR 20%     xxx   xxx   xxx   xxx   xxx
g₁   22%     xxx   xxx   xxx   xxx   xxx
     25%     xxx   xxx   xxx  [1189] xxx  ← Target EV
     28%     xxx   xxx   xxx   xxx   xxx

1. Each cell = the EV under the corresponding (CAGR, g₂) combination.
2. Find the cell closest to the actual EV.
3. The g₁ corresponding to that cell is the market-implied explicit-period CAGR expectation.

Key observations:

• Valuation sensitivity to explicit-period CAGR >> sensitivity to perpetual g.
• Valuation differences are not large within the same row (same CAGR), while valuations can differ by a factor of two within the same column (same perpetual g).
• Therefore, the key valuation question is whether the "10-year CAGR can be achieved," not whether "3% perpetual growth is too aggressive."

Step 6: Translate CAGR into Plain English

After calculating the implied CAGR, make three translations:

Translation 1: Company size in 10 years

FCFF₁₀ = FCFF₀ × (1+g₁)¹⁰
Corresponding revenue ≈ FCFF₁₀ / (current FCFF/revenue conversion rate)

Translation 2: What needs to happen at the industry level

Current TAM → required revenue in 10 years → implied market share change
Or: how many times TAM must grow to support it

Translation 3: Compare with history

Company's actual CAGR over the past 10 years vs implied CAGR
Historical CAGR comparison with industry peers/global tech giants
(TSMC's CAGR over the past 20 years was approximately 18%, already an industry miracle)

Step 7: Be Honest About Limitations

1. Terminal value (TV) accounts for a high proportion of EV: this is especially dangerous for cyclical stocks. TV accounting for >50% is a red flag.
   • Alternative: Exit Multiple method (use the industry median EV/EBITDA in year 10 for the exit).
2. The choice of base-year FCFF determines everything: the top and bottom of the cycle can differ by several times.
3. D&A and Capex are estimates: accuracy is limited by the granularity of public disclosures.
4. Reverse DCF tells you what the market expects, not whether the market is right or wrong.
   • A 25% CAGR may or may not be reasonable and requires independent judgment.
   • It is not a conclusion. It is the starting point for discussion.