FIN521 Chap.10 Equity Valuation Models
Equity Valuation Models
Why a share is harder to value than a bond
The tenth teaching week covers equity valuation models, and the course description promises emphasis on the valuation methodologies applied to securities. A share is harder than a bond for one reason: the payments are not promised. There is no coupon and no maturity, so both the amounts and their end date must be assumed before anything can be discounted.
That is why every model in this chapter is the same discounting exercise with a different set of assumptions made explicit, and why naming the assumption is a larger part of the answer than performing the arithmetic.
Where the cash actually reaches the shareholder
A shareholder receives dividends while holding and a sale price at the end.
But the buyer at the end is paying for the same two things again, so substituting each successive buyer's valuation makes the sale price disappear and leaves an infinite stream of dividends. That is not a trick; it is why the dividend discount model is the base case rather than one option among several.
When growth in dividends is constant and strictly below the required return, the infinite sum collapses to next year's dividend divided by the difference between the two rates, which is the single line most students remember and most often misuse.
Three assumptions the single line makes
That the company pays dividends at all, which excludes many listed firms.
That growth is constant forever, which no business achieves. And that growth is strictly less than the required return, because otherwise the denominator is zero or negative and the model returns nonsense. A firm growing faster than its cost of equity is not infinitely valuable; it is a firm this model cannot be used on, and the correct response is a multi-stage model rather than a larger number.
Growth itself is not a free assumption either: a company grows by retaining earnings and reinvesting them, so the sustainable rate is the proportion retained times the return earned on it.
A multiple is the same model with the assumptions hidden
Analysts often skip discounting and compare price to earnings ratios against peers, concluding that a lower ratio means a cheaper share.
Divide the constant growth model through by earnings and the two approaches turn out to be one. The ratio a share deserves rises with its payout and its growth and falls as the required return rises, so a low ratio is evidence of cheapness only where growth and risk are genuinely comparable.
Comparing ratios across firms with different growth or different risk compares two answers to two different questions, which is why a multiple is not a shortcut around the assumptions but the same assumptions made by somebody else without being written down.
What this chapter covers
- 01
Why the payments on a share are not promised
- 02
How the sale price disappears from the valuation
- 03
The constant growth model and the dividend one period out
- 04
Three assumptions the single line makes
- 05
Why growth above the required return breaks the model
- 06
Sustainable growth from retention and return on reinvestment
- 07
Why retaining more can destroy value
- 08
Two-stage models and the weight carried by the terminal value
- 09
A multiple as a valuation with its assumptions unstated
Value a share, then invert the model on the market price
- 2Grow the observed dividend by one year and state why.
- 3Apply the constant growth model and compare with the market price.
- 4Solve the model backwards for the implied growth rate and say what the disagreement is about.
Key terms
- Dividend Discount Model
- Valuing a share as the present value of the infinite stream of dividends it is expected to pay, which is the base case for equity valuation.
- Constant Growth Model
- The single-line version of the dividend model, valid only where growth is constant and strictly below the required return.
- Required Return
- The return investors demand for holding a share of this level of risk, which serves as the discount rate in an equity valuation.
- Retention Ratio
- The proportion of earnings a company keeps rather than paying out, which together with the return on reinvestment sets sustainable growth.
- Sustainable Growth
- The retention ratio multiplied by the return earned on reinvested funds, which ties the growth assumption to the payout policy.
- Terminal Value
- The value assigned at the point where growth becomes stable in a multi-stage model, which usually carries most of the final answer.
- Implied Growth Rate
- The growth assumption that would make a valuation model return the observed market price, obtained by solving the model backwards.
- Free Cash Flow
- The cash a business could distribute, used in place of dividends when valuing a company that pays none.
Equity Valuation Models FAQ
Which dividend does the constant growth model need?
Next year's, and the error of using this year's is the most frequent slip in the chapter. If the question says the company just paid a figure, multiply by one plus the growth rate before dividing. The mistake always runs in the same direction and understates the value by a factor of one plus g, so a quick diagnostic is whether your answer sits a few per cent below everyone else's.
Underlining the verb in the question before starting removes the risk entirely.
Does cutting the dividend to fund growth raise the share price?
Only if the money retained earns more than investors require. Retaining more does raise growth, which looks as though it must raise value, but each retained dollar is worth more in the shareholder's hands than inside the company whenever reinvestment earns less than the required return.
So a company earning eight per cent on reinvestment against a twelve per cent required return destroys value by retaining, even as its growth rate rises. This is the sharpest test in the chapter of reading the model rather than reciting it.
Can a low price to earnings ratio be used to show a share is cheap?
Only against genuinely comparable companies, because the ratio a share deserves depends on its payout, its growth and its risk. A low ratio is equally consistent with the market underrating the business, with growth being genuinely lower, with risk being genuinely higher, and with current earnings being temporarily inflated by a one-off gain or a cyclical peak.
Naming those four readings and the evidence that separates them is the answer; asserting cheapness from the ratio alone is not.
Exam move
Value one real listed company twice, once with a growth rate you believe and once by solving for the rate that reproduces its market price, and write a sentence on what the difference between the two rates means. That inversion is the habit worth building because it converts an unfalsifiable claim into an arguable one.
Then test the retention question on a company you know: work out whether its reinvestment returns exceed a plausible required return before deciding whether a dividend cut would be good news.
Working through Equity Valuation Models in FIN521? Sia is AskSia’s AI Finance tutor — ask any FIN521 Equity Valuation Models question and get a clear, step-by-step explanation grounded in how FIN521 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.
