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Explain how analysts working from one model can still arrive at different values

CFA® Level I · Equities · Equity Analyst Research Reports · EQ.17.c

The idea

Two analysts can use the same model and reach very different values because the model is only a framework: the answer comes from the inputs. Differences in revenue growth, margins, the investment needed to support growth, financing and the required return compound over a long forecast period and the terminal value. A small change in long-run growth or the discount rate can move a DCF value substantially. Judgements about which scenario is most likely, what counts as a one-off item, and how long a competitive advantage lasts all differ. This is why a credible valuation states its key assumptions, shows sensitivity to them and explains why its view differs from the market price.

Formulas

Constant-growth cash flow value

V = F₁ ÷ (r − g)

V
the value today
F₁
the free cash flow expected next year
r
the required return
g
the steady long-run growth rate

Two analysts with the same model reach different values by choosing different r and g, and the gap is very sensitive to them.

A practice question

From the question bank, with the reason each wrong option is wrong.

Holding revenue and margins constant, an analyst who assumes higher capital expenditure will estimate a company's value to be:

  1. higherWhy not: Treats capex as adding value directly; with no extra revenue, it only reduces free cash flow.
  2. lower - correct
  3. unchangedWhy not: Overlooks that free cash flow is after investment, so higher capex reduces the cash available.

Free cash flow = operating cash flow − investment. More investment with no extra revenue or margin reduces cash flow and value.

A harder one

Two analysts forecast revenue of 2,000 for Iveson Glass. A assumes a 10% EBIT margin, B a 12% margin. With no debt, a 25% tax rate, a P/E of 14 and 100 shares, how much higher is B's value per share?

  1. 4.20 - correct
  2. 5.60Why not: Applies the P/E to the pre-tax EBIT difference, ignoring the 25% tax on the extra profit.
  3. 0.30Why not: Stops at the difference in EPS and does not multiply by the P/E to convert it into value.

EBIT difference = 2,000 × 2% = 40; after tax = 30; per share = 0.30; value difference = 0.30 × 14 = 4.20.

The hardest tier

Selwick Engines will have EBIT of 160, a 25% tax rate and 100 shares. It needs 200 of funding. Analyst A assumes 10 new shares are issued; analyst B assumes debt at 6%. B's forecast EPS is:

  1. 1.08Why not: Deducts interest after tax has been applied, losing the tax deductibility of interest expense.
  2. 1.20Why not: Ignores the interest cost on the new debt, treating the funding as free.
  3. 1.11 - correct

B: interest = 0.06 × 200 = 12; net income = (160 − 12) × 0.75 = 111; EPS = 111 / 100 = 1.11. A: 120 / 110 = 1.09. Financing assumptions alone change EPS.

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