An analyst wants to value a fast-growing tech startup using the Gordon growth model: P = D₁/(r - g). The company has a required return r = 10% and is currently growing at g = 20%. What is wrong with this approach?
AThe Gordon model requires dividends, and the company may not pay dividends yet
BThe Gordon model assumes constant perpetual growth; g = 20% > r = 10% makes the denominator negative, producing a meaningless result
CThe required return r is too low for a high-growth tech company
DThe Gordon model can only be used for mature companies with declining growth
The Gordon growth model requires g < r to produce a sensible result — when g exceeds r, the denominator (r - g) becomes negative, implying an infinite or negative price. The deeper error is conceptual: the Gordon model assumes the company is already in a stable, mature state of perpetual moderate growth. Applying it to a high-growth firm violates this assumption even if the math were workable. The correct approach is a multi-stage DDM: forecast dividends explicitly during the high-growth years, then apply a terminal value once stable growth is reached. The dividend issue (option A) is real but secondary — free cash flow models can substitute.
Question 2 Multiple Choice
Two analysts use the same multi-stage DDM for a high-growth company. They agree on every input — except Analyst A assumes the terminal growth rate is 3% and Analyst B assumes 4%. On a $100 stock, which statement is most likely true?
AThe valuations will differ by roughly $1, since the growth rates differ by only 1 percentage point
BThe valuations can differ by 20-40% or more, because the terminal value drives 60-80% of the total estimated price
CThe difference is negligible because the terminal value is discounted heavily over time
DThe difference depends entirely on the length of the high-growth phase, not the terminal growth rate
The terminal value typically accounts for 60-80% of total estimated stock value in a multi-stage DDM, so even small changes in the terminal growth rate have large effects on output. A 1-percentage-point increase in g in the Gordon terminal value formula P_T = D_{T+1}/(r - g) amplifies the terminal value substantially — especially when r - g is already small (e.g., going from r - g = 7% to 6% increases terminal value by ~17%). This is exactly why sensitivity analysis is essential: the terminal growth rate is both the most uncertain and the most consequential assumption in the model.
Question 3 True / False
In a multi-stage DDM, the terminal value often accounts for the majority of the total estimated stock price.
TTrue
FFalse
Answer: True
For most growing companies, the terminal value (representing the present value of all dividends from stable growth onward) accounts for 60-80% of the total estimated price — sometimes more. This is mathematically inevitable: perpetuities capitalize a lot of value. The practical consequence is that the terminal growth rate assumption, though highly uncertain, is the most load-bearing input in the model. Two analysts with identical forecasts for the explicit forecast period can produce valuations differing by 50% if they disagree on the terminal growth rate or discount rate by a few percentage points.
Question 4 True / False
Using the same multi-stage DDM framework guarantees that two analysts will reach similar valuations for a high-growth company, since they are applying the same model mechanics.
TTrue
FFalse
Answer: False
A framework only translates assumptions into prices — it does not constrain the assumptions themselves. Two analysts using identical multi-stage DDM mechanics can produce valuations differing by 50% or more if they disagree on: the duration of the high-growth phase, the transition path from high to stable growth, the long-run stable growth rate, or the appropriate discount rate (cost of equity). The model is a structure for organizing uncertainty, not a mechanism for eliminating it. This is why valuation outputs should always be accompanied by sensitivity analysis and explicit disclosure of key assumptions.
Question 5 Short Answer
Why is the terminal value's dominance in a multi-stage DDM both analytically important and practically dangerous? What does this imply about how to present a valuation?
Think about your answer, then reveal below.
Model answer: The terminal value dominates because a perpetuity capitalizes many years of cash flows, and small changes in the terminal growth rate or discount rate produce large changes in present value. This is analytically important because it means valuation outputs are highly sensitive to assumptions that are the least certain — specifically the long-run stable growth rate. It is practically dangerous because a model can appear precise (detailed year-by-year forecasts) while hiding the fact that most of the output comes from a single uncertain assumption. Good practice requires sensitivity analysis: showing how the estimated price changes across a range of terminal growth rates and discount rates, so the audience understands which assumptions are load-bearing and what the valuation's realistic range is.
The point is not that DCF models are useless — they impose useful discipline on forecasting. The point is that understanding where the output comes from is essential for both producing and consuming a valuation. A valuation that presents a single number without sensitivity analysis implicitly claims more certainty than the method can deliver.