Gordon growth model
A share is worth the dividends it will pay, discounted. Load a company and the trailing dividend, its growth over the last three, five or ten years, and the current price all come from its own record. Growth runs explicitly for as many years as you set and then settles into a perpetual rate. Set the explicit years to zero and you have the textbook one-line model. It values a dividend payer and nothing else, and it says so rather than guessing when the company pays nothing.
Assumptions
Company
The dividend
Trailing twelve months. D0 in the formula.
For the comparison. Leave at zero to value the stream without one.
Growth
Zero gives the single stage model, D1 over r minus g.
Seeded from the company's own dividend record.
Forever. Has to stay below the cost of equity.
Cost of equity
10 year Treasury. Enter it manually if the feed is quiet.
Levered. The market data vendor does not publish one, so this is yours to set.
The premium over the risk-free rate the market is assumed to demand.
Cost of equity9.20%
Value per share
$34.85
How this was built
| Dividend per share, trailing | $2.00 |
|---|---|
| Cost of equity | 9.20% |
| Growth, years 1 to 10Faded to 2.50% by year 10 | 6.00% |
| PV of dividends in the phase | $15.94 |
| Terminal growth | 2.50% |
| Dividend in year 11The last dividend grown one more year | $3.06 |
| Terminal value at year 10D / (9.20% - 2.50%) = $45.60 | $45.60 |
| PV of terminal value | $18.91 |
| Value per share | $34.85 |
| Terminal share of value | 54.26% |
The explicit phase
| Line item | Y1 | Y2 | Y3 | Y4 | Y5 | Y6 | Y7 | Y8 | Y9 | Y10 |
|---|---|---|---|---|---|---|---|---|---|---|
| Dividends year by year | ||||||||||
| Dividend growth | 5.65% | 5.30% | 4.95% | 4.60% | 4.25% | 3.90% | 3.55% | 3.20% | 2.85% | 2.50% |
| Dividend per shareWorking, Y1: Prior year grown at that year's rate | $2.11 | $2.22 | $2.34 | $2.44 | $2.55 | $2.65 | $2.74 | $2.83 | $2.91 | $2.98 |
| Discount factorWorking, Y1: 1 / (1 + cost of equity) ^ year | 0.9158 | 0.8386 | 0.7679 | 0.7032 | 0.6440 | 0.5897 | 0.5401 | 0.4946 | 0.4529 | 0.4147 |
| Present value | $1.93 | $1.87 | $1.79 | $1.72 | $1.64 | $1.56 | $1.48 | $1.40 | $1.32 | $1.24 |
Sensitivity
| Cost of equity downTerminal growth across | 1.50% | 2.00% | 2.50% | 3.00% | 3.50% |
|---|---|---|---|---|---|
| 8.20% | $35.86 | $38.26 | $41.08 | $44.44 | $48.51 |
| 8.70% | $33.31 | $35.35 | $37.72 | $40.49 | $43.80 |
| 9.20% | $31.10 | $32.85 | $34.85 base case | $37.18 | $39.91 |
| 9.70% | $29.15 | $30.67 | $32.39 | $34.37 | $36.66 |
| 10.20% | $27.43 | $28.75 | $30.25 | $31.94 | $33.89 |