{ "id": "62c59e01-ecd2-5acd-937e-1c05192abecf", "slug": "gordon-growth-model", "term": "Gordon Growth Model", "aliases": [], "category": "Fundamental Analysis", "category_slug": "fundamental-analysis", "difficulty": "intermediate", "definition": "The Gordon Growth Model (GGM), also known as the Dividend Discount Model (DDM) with constant growth, is a stock valuation methodology that estimates the intrinsic value of a share by discounting all future dividends, assumed to grow at a constant perpetual rate, back to the present at the required rate of return. It is a direct application of the present value of a growing perpetuity.", "key_takeaways": [ "The model requires only three inputs: the next period's expected dividend (D₁), the required rate of return (r), and the constant dividend growth rate (g).", "A key constraint is that r must be strictly greater than g; otherwise the formula produces a negative or undefined valuation.", "The GGM is most appropriate for mature, dividend-paying companies with stable, predictable growth rates (e.g., utilities, consumer staples, financial institutions).", "The model's sensitivity to the growth rate assumption is extremely high: small changes in g can produce dramatically different valuations.", "Extensions of the model include the two-stage DDM and the H-model, which accommodate varying growth rates across different periods of a firm's lifecycle." ], "detailed_explanation": "The Gordon Growth Model was formally developed by Myron J. Gordon and Eli Shapiro in their 1956 paper 'Capital Equipment Analysis: The Required Rate of Profit,' building on earlier dividend discount frameworks. It provides a closed-form solution to the theoretically infinite series of discounted future dividends by exploiting the mathematical property of a geometric series converging when the discount rate exceeds the growth rate.\n\nThe intuition behind the model is straightforward: a share of stock is worth the present value of all cash flows it will ever generate. For a dividend-paying company, these cash flows are the periodic dividends. If dividends grow at a constant rate g forever and investors require a return of r on the investment, the stock price today equals D₁ / (r − g), where D₁ is the dividend expected to be paid one period hence. This formula captures the powerful compounding effect of growth — higher g means the numerator of successive discounted dividends shrinks more slowly, supporting a higher current valuation.\n\nThe model's practical application requires careful estimation of its three inputs. D₁ is typically estimated by multiplying the current annualized dividend by (1 + g). The required return r is often estimated using the Capital Asset Pricing Model (CAPM) or a build-up approach based on the risk-free rate plus an equity risk premium adjusted for company-specific risk. The growth rate g is the most consequential and contentious input; analysts typically anchor it to long-run sustainable growth rates (often estimated as the product of the retention ratio and return on equity) or to long-run nominal GDP growth as an upper bound for perpetuity growth.\n\nDespite its elegance, the GGM has well-known limitations. It cannot value companies that pay no dividends or companies in high-growth phases where g exceeds r. It is extremely sensitive to small changes in the g assumption: for a company with r = 9% and g = 7%, reducing g to 6% reduces the estimated value by 33%. For these reasons, the GGM is most credibly applied as one element of a multi-methodology valuation rather than as a standalone tool. The CFA Institute's equity analysis curriculum treats the GGM as foundational — a building block for understanding the relationship between growth, profitability, and stock valuation even when more sophisticated multi-stage models are ultimately used.", "example": "Utility company ABC Electric currently pays an annual dividend of $2.40 per share. The dividend is expected to grow at a constant rate of 4% per year in perpetuity, reflecting the regulated nature of the business. Using CAPM, the required return on equity is estimated at 8.5%. Applying the GGM: D₁ = $2.40 × 1.04 = $2.496. Intrinsic Value = $2.496 / (0.085 − 0.04) = $2.496 / 0.045 = $55.47 per share. If the stock currently trades at $50.00, it appears undervalued by approximately 10%, suggesting a potential buy opportunity. If g were assumed to be 5% rather than 4%, the estimated value would be $2.52 / 0.035 = $72.00 — illustrating the extreme sensitivity to the growth assumption.", "formula": "P₀ = D₁ / (r − g), where D₁ = D₀ × (1 + g), r = required rate of return, g = constant dividend growth rate (g < r)", "formula_latex": null, "interactive_type": "calculator", "calculator_id": null, "related_terms": [ "capital-asset-pricing-model", "current-ratio", "discount-rate", "dividend", "dividend-discount-model", "earnings-quality", "equity", "equity-risk-premium", "intrinsic-value", "normalized-earnings", "perpetuity", "precedent-transaction-analysis", "premium", "present-value", "quick-ratio" ], "backlinks": [ "balance-sheet", "common-stock", "debt-to-equity-ratio", "discounted-cash-flow", "dividend", "dividend-discount-model", "equity", "evsales-multiple", "perpetuity", "precedent-transaction-analysis", "price-to-book-ratio", "price-to-earnings-ratio", "return-on-equity", "sustainable-growth-rate", "terminal-value", "wacc-weighted-average-cost-of-capital" ], "cross_references": [ "capital-asset-pricing-model", "discount-rate", "dividend", "dividend-discount-model", "equity", "equity-risk-premium", "intrinsic-value", "perpetuity", "premium", "present-value", "return-on-equity", "risk-free-rate", "risk-premium", "stock" ], "tags": [ "level:intermediate", "cat:fundamental-analysis" ], "asset_classes": [], "regulators": [], "see_also": [], "sources": [], "wordcount": 693, "checksum": "4ebe369f0ebf608c", "version": "2026.05.03", "license": "CC-BY-4.0", "updated_at": "2026-09-07T02:15:24+00:00", "_links": { "self": "https://hedgefund.wiki/api/v1/terms/gordon-growth-model", "jsonld": "https://hedgefund.wiki/api/v1/terms/gordon-growth-model?format=jsonld", "markdown": "https://hedgefund.wiki/api/v1/terms/gordon-growth-model?format=md", "graph": "https://hedgefund.wiki/api/v1/graph/gordon-growth-model", "category": "https://hedgefund.wiki/api/v1/categories/fundamental-analysis", "schema": "https://hedgefund.wiki/schema/term.schema.json", "html": "https://hedgefund.wiki/#/terms/gordon-growth-model" } }