FSV.TO
FIRSTSERVICE CORPORATIONClosedFSV.TO discounted cash flow valuation
FSV.TO Fair Value
Reverse DCF: today's price implies 4.1% a year of FCF growth for years 1–5, against 5.9% in this model.
Model: 5.9% from analyst next-year revenue growth. Fades linearly to terminal growth by year 10.
Model: 8.20% (CAPM, see the build-up).
Long-run growth after year 10; keep it at or below nominal GDP.
Value Bridge
| PV of free cash flow, years 1–10 | CAD 4.17B |
|---|---|
| PV of terminal value (63% of EV) | CAD 7.01B |
| Enterprise value | CAD 11.18B |
| + Cash & investments | CAD 246.33M |
| − Total debt | −CAD 2.22B |
| Equity value | CAD 9.21B |
| ÷ Shares outstanding | 43.67M |
| Value per share | CAD 210.89 |
| Market cap | CAD 8.11B |
USD statements converted at 1.421 CAD.
Discount Rate Build-up
| Risk-free rate (10-yr Treasury) | 5.19% |
|---|---|
| Beta (adjusted toward 1) | 0.94 |
| Equity risk premium | 4.50% |
| Cost of equity (CAPM) | 9.42% |
| Pre-tax cost of debt | 5.19% |
| Tax rate | 28.4% |
| Debt / (equity + debt) | 21.4% |
| WACC | 8.20% |
Beta is Yahoo's, held between 0.5 and 2.5, then moved a third of the way toward 1. Cost of debt is interest expense ÷ total debt, held between the risk-free rate and 12%. WACC is at least the risk-free rate plus 2%.
Free Cash Flow: History and Projection
Sensitivity: Value per Share
| WACC ↓ / g → | 2.00% | 2.50% | 3.00% | 3.50% | 4.00% |
|---|---|---|---|---|---|
| 6.20% | 290.08 | 326.67 | 374.70 | 440.49 | 536.18 |
| 7.20% | 224.00 | 246.01 | 273.25 | 307.85 | 353.25 |
| 8.20% | 179.31 | 193.72 | 210.89 | 231.71 | 257.47 |
| 9.20% | 147.09 | 157.09 | 168.69 | 182.32 | 198.57 |
| 10.20% | 122.78 | 130.01 | 138.25 | 147.72 | 158.71 |
Green is above today's price, red below (full colour at ±30%). The outlined centre cell is the current inputs.
Projected Cash Flows
| Year | Growth | Free cash flow | Discount factor | Present value |
|---|---|---|---|---|
| Base (TTM) | — | CAD 476.65M | — | — |
| Year 1 | 5.9% | CAD 504.77M | 0.924 | CAD 466.52M |
| Year 2 | 5.9% | CAD 534.55M | 0.854 | CAD 456.60M |
| Year 3 | 5.9% | CAD 566.09M | 0.789 | CAD 446.90M |
| Year 4 | 5.9% | CAD 599.49M | 0.730 | CAD 437.40M |
| Year 5 | 5.9% | CAD 634.86M | 0.674 | CAD 428.10M |
| Year 6 | 5.3% | CAD 668.64M | 0.623 | CAD 416.70M |
| Year 7 | 4.7% | CAD 700.33M | 0.576 | CAD 403.38M |
| Year 8 | 4.2% | CAD 729.46M | 0.532 | CAD 388.32M |
| Year 9 | 3.6% | CAD 755.58M | 0.492 | CAD 371.74M |
| Year 10 | 3.0% | CAD 778.25M | 0.455 | CAD 353.87M |
Method
Two-stage free-cash-flow model, the same as the bot's lgf dcf: five years at the chosen growth rate, a straight-line fade to terminal growth by year ten, then a Gordon-growth terminal value. Everything is discounted at WACC.
Base cash flow is the trailing four quarters of operating cash flow minus capital expenditure (the latest fiscal year when quarters are missing). Default growth uses analyst long-term growth when Yahoo publishes it, else next year's revenue growth (steadier than one year's EPS), else next year's EPS growth, else revenue CAGR, held between −2% and 25%. Terminal growth defaults to 3%.
A DCF is only as good as its inputs. The terminal value is usually most of the answer, so read the sensitivity grid before the headline number. This is a model, not investment advice.