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WSU Lexicon: Equity Investments
The sustainable growth rate is the maximum rate at which a firm can grow earnings and dividends without issuing new equity, while holding its capital structure and profitability constant. It equals return on equity multiplied by the retention ratio (1 − payout ratio).
It is the standard proxy for g in the Gordon growth model.
The entry
The logic runs through the balance sheet. If a firm issues no new shares, book equity can only expand by the earnings it keeps. Next period's earnings equal that larger equity base multiplied by return on equity, so if profitability and the mix of debt and equity are unchanged, earnings grow at exactly the rate at which equity grows. That rate is retained earnings divided by beginning equity, which rearranges into return on equity multiplied by the fraction of earnings retained.
The constant-capital-structure assumption matters because debt is assumed to grow in step with equity. A firm that retains ten percent of its equity base can also borrow ten percent more while holding its debt-to-equity ratio flat, funding proportionally larger assets. Growth is therefore self-financing in both senses: internally generated equity plus the matching debt capacity that equity supports.
The entry
Because the formula is built on return on equity, every DuPont driver becomes a growth lever. Expanding return on equity into net profit margin, asset turnover and the equity multiplier shows that sustainable growth rises with pricing power, asset efficiency or leverage, and falls as payout increases. The five-way decomposition adds tax burden and interest burden, which is useful when a change in the effective tax rate or a refinancing distorts a growth estimate.
This is often presented as the PRAT framework: profit margin, retention, asset turnover and financial leverage multiplied together. It clarifies the quality of a growth forecast. Growth financed by rising leverage is not equivalent to growth from expanding margins, even where both produce the same headline figure, because the leverage route eventually hits covenant and rating constraints while margin improvement does not.
The entry
In equity valuation the sustainable growth rate is the standard bridge between a company's fundamentals and the growth input of a dividend discount model. Feeding it into the Gordon growth formula, or into the justified price-to-earnings and price-to-book multiples derived from that model, makes the valuation internally consistent: the same payout policy that sets the dividend also sets the growth rate, so a higher payout raises the numerator while lowering growth.
Corporate finance and credit analysts use it as a financing diagnostic. When planned revenue growth exceeds sustainable growth, the gap must be closed by issuing equity, adding leverage beyond the target ratio, raising payout discipline, or improving operating efficiency. Persistent growth above the sustainable rate is a reliable signal of future external financing needs; growth persistently below it often points to accumulating cash and pressure to raise distributions or repurchase shares.
The entry
Expect to compute the growth rate from a payout ratio and a return on equity, to work backwards from a dividend per share and earnings per share to obtain retention, and to solve for the implied return on equity or payout when the growth rate is given. Be precise about which equity base the return on equity uses: the derivation is cleanest with beginning-of-period equity, though average equity is common in reported figures and is acceptable when applied consistently.
Two judgement points recur. First, share repurchases are distributions, so a firm with modest dividends but heavy buybacks has a lower true retention rate than the dividend payout ratio suggests. Second, a sustainable growth rate used as a perpetual growth input cannot plausibly exceed long-run nominal economic growth; high single-digit or double-digit results describe a transitional phase and belong in a multistage model rather than a terminal value.
Common trap
Growth is funded by earnings kept inside the firm, not by earnings paid out. The correct multiplier is the retention ratio b = 1 − payout ratio. Using the payout ratio inverts the relationship and overstates growth for high-dividend firms.
In practice
Analysts valuing consumer staples names such as Coca-Cola often derive g as ROE × retention ratio. Because these firms distribute a large share of earnings as dividends and buybacks, the implied sustainable growth rate is low: consistent with their mature, low-reinvestment profile.
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