Terminal Value Discipline in the Arden Water Group DCF
A sell-side note on Arden Water Group carries a Buy rating and a $16.40 target price; the shares trade at $18.05. The model uses a WACC of 8.5%, terminal growth of 2.5%, and a five-year explicit forecast whose free cash flow to the firm has a present value of $620m. Year-5 NOPAT is $260m. In the terminal year the model sets capital expenditure equal to depreciation, so terminal FCFF equals the $260m of NOPAT. The analyst argues that Arden earns a 12% return on new capital, comfortably above its cost of capital, and that this justifies perpetual growth. Net debt is $900m. There are 150m shares and 40m employee options struck at $12; the average share price over the year was $15 and the current price is $18.05. The company has beaten guidance for six consecutive quarters and the sector is being re-rated. A colleague points out that the target price sits 9% below the market price.
1. Compute the terminal FCFF that is internally consistent with 2.5% growth and a 12% terminal ROIC, and compare it with the analyst's terminal value.
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Growth must be funded. With g = 2.5% and terminal ROIC = 12%, the reinvestment rate is g/ROIC = 2.5/12 = 20.8%. Terminal FCFF = NOPAT × (1 − 0.208) = 260 × 0.792 = $205.8m.
Consistent terminal value = 205.8 × 1.025 / (0.085 − 0.025) = 210.9/0.06 = $3,516m.
Discounted five years at 8.5% (1.085^5 = 1.5037): PV = $2,338m.
The analyst's terminal value, with capex equal to depreciation, assumes zero net reinvestment: 260 × 1.025/0.06 = 210.9... = $4,442m, PV $2,954m. The two statements in the same model contradict each other: perpetual growth of 2.5% requires reinvestment unless ROIC is infinite, and the note explicitly claims only 12%. This is the classic terminal-year error - setting capex equal to D&A is a convenience that silently assumes away the cost of growth. Any time a model grows FCFF while reinvesting nothing, the terminal value is overstated by roughly the reinvestment rate applied to the perpetuity.
The gap is $4,442m versus $3,516m, or 26%, and it flows almost entirely into the equity value because it is 79% of enterprise value.
2. Derive equity value per share under both terminal assumptions, being explicit about the option treatment, and comment on the rating.
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Consistent case. EV = 620 + 2,338 = $2,958m. Less net debt 900 = $2,058m equity.
Analyst case. EV = 620 + 2,954 = $3,574m. Less net debt 900 = $2,674m equity.
Options (treasury-stock method). Proceeds = 40 × 12 = $480m. Repurchased at $18.05: 26.6m shares, net dilution 13.4m, diluted count 163.4m.
Per share: consistent case 2,058/163.4 = $12.60; analyst case 2,674/163.4 = $16.36 - close to his published $16.40, which confirms the arithmetic.
Using the $15 average price instead of the current price would buy back 32.0m shares, leaving 158.0m and giving $13.03 and $16.93 respectively - a 3% swing purely from the convention chosen. Either is defensible if disclosed and applied consistently; switching conventions mid-model is not.
On the rating. Even on the analyst's own assumptions the value is $16.36 against a price of $18.05, i.e. 9% downside, yet the note says Buy. That inconsistency matters more than the terminal-value error: it tells you the recommendation is being driven by momentum and the re-rating narrative, not by the model. A target below the market price with a Buy rating is a red flag in any research review.
3. The terminal value is 79% of enterprise value. Which assumption should the committee challenge hardest, and how would you sanity-check the 12% terminal ROIC?
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With 79% of EV in the terminal value, the recommendation is a bet on WACC and terminal ROIC, not on the five-year forecast. Sensitivity to WACC alone: at 9.5%, the consistent TV becomes 210.9/0.07 = $3,014m, PV $1,914m, EV $2,534m, equity $1,634m, about $10.00 per share. At 7.5%: TV 210.9/0.05 = $4,220m, PV $2,939m, EV $3,559m, equity $2,659m, about $16.30. A ±100bp move in WACC swings value by roughly 30%, and the entire Buy/Sell range sits inside that band.
The ROIC assumption is the other half of the pair, and the two are linked: growth only creates value to the extent ROIC exceeds WACC. Challenge it three ways.
First, definition: is 12% return on total invested capital or on equity, and is it computed before or after goodwill from the acquisitions that built the asset base? Second, durability: Arden is a regulated network. If the allowed return converges to the cost of capital after the current review, then incremental ROIC = WACC = 8.5% is the right terminal assumption. Recompute: reinvestment 2.5/8.5 = 29.4%, FCFF 260 × 0.706 = $183.5m, TV $3,135m, PV $2,085m, EV $2,705m, equity $1,805m, or $11.05 per share. Third, cross-check the spread: a 3.5pp ROIC–WACC spread sustained forever is a strong claim for a regulated utility whose tariffs are set by a formula.
The committee should require the model to be run with ROIC converging to WACC and with WACC ±100bp before any rating is assigned.