Cost of Equity Calculator
Solve the Gordon Growth / Dividend Discount Model for any of its four unknowns — cost of equity, next dividend, current price, or growth rate — with step-by-step math, a live return-split schematic, and companion valuation metrics.
The dividend yield is only part of the story
For a typical dividend-paying stock the cash dividend contributes only about half of the total return. The rest is expected price appreciation, which is what the growth term captures. That is why high-yield, low-growth stocks and low-yield, high-growth stocks can have the same cost of equity — investors are being compensated through different channels.
Growth must be sustainable forever
The Gordon Growth Model assumes a constant growth rate into perpetuity. In reality no company can grow faster than the economy forever, so a practical ceiling for g is long-run nominal GDP growth — roughly 3–5% in developed markets. Using a higher g produces an artificially low cost of equity and an artificially high valuation. The model breaks down entirely when g approaches Re.
Re is the investor's required return
Rearranged, the same equation says that today's price equals the present value of all future dividends discounted at Re. So Re is the discount rate that makes the observed market price fair. If a stock trades at a price that implies a very low Re, the market is pricing in a lot of certainty. If it implies a very high Re, the market is demanding a large risk premium — either because the business is risky, or because the stock is undervalued.
Not for non-dividend payers
The DDM requires a dividend. For companies that pay no dividend or a token dividend, the model gives a distorted or meaningless answer — Re collapses to g. Use CAPM, a build-up method, or a comparable-company approach instead. For dividend-paying utilities, banks, REITs and mature consumer names, DDM remains one of the cleanest ways to estimate the cost of equity.
How to Use This Calculator
The Gordon Growth relation links four quantities: the cost of equity, the next dividend, the current price, and the growth rate. Pick which one you want the tool to solve, then fill in the other three.
1. Choose what to solve for
Pick Re, D1, P0 or g. The calculator rearranges Re = (D1 / P0) + g automatically for whichever you choose and locks that field.
2. Use realistic presets
Re presets run from 5% to 15%, growth from 0% to 10%, dividends from 0.50 to 8.00 per share, and prices from 10 to 500. Click to set, then fine-tune with the slider or by typing.
3. Mind the units
Re and g are both percentages per year. D1 and P0 are per-share currency amounts. The hint under each field shows the value converted to related forms — such as D0 or the dividend yield.
4. Read the result and verdict
The result card shows the solved value plus a breakdown of the two components (dividend yield and growth) and a colour-coded verdict from low-risk utility through to speculative growth.
5. Check the return split
The schematic bar shows how much of Re comes from the dividend yield and how much from capital growth — drawn to scale so the balance is visible at a glance.
6. Switch to Advanced for depth
Advanced mode adds a Re vs. growth chart, a sensitivity check on a +1% change in each input, and companion metrics including D0, implied price at alternative growth rates, and the model validity check (Re must exceed g).
What This Tool Offers
Built around the Gordon Growth / Dividend Discount Model — the cleanest closed-form estimate of the cost of equity for a dividend-paying stock.
Four-way solving
Solve for Re, D1, P0 or g. The calculator rearranges the formula for whichever variable you choose.
Return split schematic
A stacked bar showing how much of the cost of equity comes from dividend yield and how much from capital growth, drawn to scale.
Risk-class verdict
Each result is graded from low-risk utility through broad market, growth, high-risk and speculative, with a model-validity warning when g ≥ Re.
D0 conversion
Each dividend field shows the trailing dividend D0 = D1 / (1 + g), the dividend yield, and the implied income per 100 shares.
Dual comparison charts
Re versus price for three dividend levels, plus Re versus growth for three price levels.
Reference tables
A Re lookup grid at combinations of yield and growth, typical cost of equity by sector, and a full variable reference table.
Reference Tables & Conversions
A cost-of-equity lookup grid, sector benchmarks, and the underlying variables.
Cost of equity lookup grid
Computed from Re = dividend yield + g. Rows are dividend yields; columns are growth rates. Values are the resulting cost of equity.
| Yield \ g | 0% | 2% | 3% | 5% | 7% | 10% |
|---|
Typical Cost of Equity by Sector
Representative developed-market figures. Actual costs vary with interest rates, leverage, beta, and country risk premium.
| Sector | Typical Re | Typical yield | Typical g | Notes |
|---|---|---|---|---|
| Utilities | 5% – 8% | 3% – 5% | 1% – 3% | Regulated cash flows, low beta |
| Consumer staples | 6% – 9% | 2% – 4% | 3% – 5% | Stable demand, mature businesses |
| Banks & financials | 8% – 12% | 3% – 6% | 3% – 6% | Leverage amplifies returns and risk |
| REITs | 7% – 10% | 4% – 6% | 2% – 4% | High payout, property-linked growth |
| Broad market | 8% – 10% | 1.5% – 2.5% | 5% – 7% | Large-cap index-level average |
| Industrials | 8% – 11% | 1% – 3% | 4% – 7% | Cyclical, moderate leverage |
| Consumer discretionary | 9% – 13% | 1% – 3% | 6% – 10% | Sensitive to the economic cycle |
| Technology | 10% – 15% | 0% – 1.5% | 8% – 12% | Most do not pay meaningful dividends |
| Small-cap / emerging | 12% – 20% | 0% – 3% | 6% – 12% | Size and country risk premiums |
Variable Reference
| Symbol | Meaning | Typical range | Notes |
|---|---|---|---|
| Re | Cost of equity | 5% – 15% | Required return on the stock; the discount rate |
| D1 | Next year's dividend per share | 0 – 10 | D1 = D0 × (1 + g) |
| D0 | Trailing dividend per share | 0 – 10 | D0 = D1 / (1 + g) |
| P0 | Current price per share | 1 – 1,000 | Use a recent closing price |
| g | Constant dividend growth | 0% – 7% | Must be less than Re for a valid price |
| D1/P0 | Forward dividend yield | 0% – 8% | Cash component of total return |
What Does Re = (D1 / P0) + g Measure?
The Gordon Growth Model — also called the Dividend Discount Model or the constant-growth model — is the oldest and simplest way to estimate the cost of equity. It says that the return an investor expects from a stock is the sum of two parts: the dividend they will receive relative to the price they pay (the dividend yield) and the rate at which that dividend is expected to grow forever (capital appreciation).
Rearranged, the same equation gives the fair price: P0 = D1 / (Re − g). This is why Re matters beyond valuation theory — it is the discount rate used in every discounted cash flow model. Getting Re wrong by one percentage point can change a valuation by 10–15%.
The model works well for stable, dividend-paying companies: utilities, banks, REITs, and mature consumer businesses. It breaks down for high-growth companies that do not pay dividends, because it cannot capture their value. It also breaks down when g approaches Re, producing an infinite price.
The Cost of Equity Formula
The defining relationship is:
Rearranged to solve for the other three unknowns:
P0 = D1 / (Re − g)
g = Re − (D1 / P0)
Two useful derived quantities:
D0 (trailing dividend) = D1 / (1 + g)
Cost of Equity Variables
| Symbol | Meaning | Notes |
|---|---|---|
| Re | Cost of equity | The required return; used as the discount rate |
| D1 | Next year's dividend | Expected cash dividend per share over the next 12 months |
| P0 | Current price | Today's market price per share |
| g | Growth rate | Constant perpetual growth rate of dividends |
| D0 | Trailing dividend | Dividend paid over the last 12 months |
How Each Variable Affects the Result
The relation is linear in both g and D1/P0, but non-linear in P0. Increase the growth rate by one percentage point and Re rises by exactly one percentage point. Increase the dividend by 10% and Re rises by 10% of the dividend yield. But double the price and Re falls by less than half the dividend yield, because the growth component stays fixed — this is why high-priced stocks can have low yields and still deliver high total returns.
The model is extremely sensitive to g because of how it enters the price formula. In P0 = D1 / (Re − g), the denominator is the difference between two similar-sized numbers. A small change in g can produce a large change in the implied price. This is why analysts spend so much effort estimating sustainable growth rates, and why the model is more reliable for stable mature companies than for fast-growing ones.
Cost of Equity Calculation Examples
Re = (2.00 / 50.00) × 100 + 4.5 = 4.0% + 4.5% = 8.5%
D1 = (8.5 − 4.5) / 100 × 50.00 = 0.04 × 50.00 = 2.00
P0 = 2.00 / ((8.5 − 4.5) / 100) = 2.00 / 0.04 = 50.00
g = 8.5 − (2.00 / 50.00) × 100 = 8.5 − 4.0 = 4.5%
Frequently Asked Questions
The cost of equity is the minimum annual return that shareholders require to hold a company's stock. It is the opportunity cost of investing in this stock rather than an equally risky alternative. Every valuation model uses it as the discount rate for equity cash flows, so an error of one percentage point can change a company's estimated value by 10–15%. It is also the hurdle rate against which management's capital allocation decisions should be judged.
The Gordon Growth Model — also called the Dividend Discount Model or constant-growth model — values a stock as the present value of all future dividends growing at a constant rate. It assumes dividends grow forever at rate g and are discounted at rate Re. Rearranged, it gives Re = (D1 / P0) + g. Developed by Myron Gordon in 1959, it remains one of the most widely taught and applied valuation formulas, especially for stable dividend-paying companies.
If g is greater than or equal to Re, the discount rate no longer exceeds the growth rate and the present value of the infinite dividend stream becomes infinite (or undefined). Financially, no company can grow faster than the economy forever — otherwise it would eventually become larger than the whole economy. In practice analysts cap g at long-run nominal GDP growth, typically 3–5% in developed markets, regardless of the company's recent growth rate.
The DDM cannot be used. Many large companies — especially in technology — pay no dividend or only a token one. For these, the cost of equity is usually estimated using the Capital Asset Pricing Model (CAPM), which uses beta and the market risk premium, or a build-up method that stacks a risk-free rate, an equity risk premium and company-specific premiums. Some analysts use a multi-stage DDM with an assumed future dividend, but the result is highly sensitive to the assumptions.
DDM estimates the cost of equity from the market's own pricing of dividends and growth — it is an implied approach, extracting the return that current prices already reflect. CAPM estimates it from the risk-free rate plus a risk premium scaled by beta — it is a theoretical approach based on the capital asset pricing model. Both should be calculated and compared; if the two are wildly different, that itself is informative, often indicating that the market is pricing in risks that beta does not capture.
Use a sustainable long-run rate, not the company's recent growth. A common starting point is long-run nominal GDP growth: real GDP growth (2–3%) plus expected inflation (2%). This gives 3–5% in most developed markets. Analysts sometimes use the historical dividend growth rate, retention × return on equity, or a fade rate that starts high and declines toward GDP. Never use a growth rate above the long-run GDP growth for a perpetuity assumption — no company outpaces the economy forever.
The formula uses D1 — the dividend expected to be paid over the next twelve months. If you only have D0 (the dividend paid over the last twelve months), convert it using D1 = D0 × (1 + g). Using D0 directly in the formula overstates the yield and produces a Re that is too high. This calculator accepts D1 as input and shows D0 in the hint.
Yes — the cost of equity is a single concept used in both contexts. In the weighted average cost of capital, the equity component is often calculated using CAPM, but if you are valuing a dividend-paying stock, the DDM-implied Re can be used instead. The choice between CAPM and DDM depends on the situation: use DDM when the company has stable, predictable dividends; use CAPM when it does not, or when you want a forward-looking estimate grounded in systematic risk rather than market pricing.
Variables
| Symbol | Quantity | Unit |
|---|---|---|
| Re | Cost of equity | % |
| D1 | Expected dividend next year | currency |
| P0 | Current stock price | currency |
| g | Expected constant dividend growth rate | % |
What it means
The Gordon Growth Model (or Dividend Discount Model) estimates the cost of equity by assuming that dividends grow at a constant rate g. The formula Re = (D1/P0) + g, where D1 is the expected dividend per share next year, P0 is the current stock price, and g is the constant growth rate. It is used in the CAPM and WACC to determine the cost of equity. It is simple but sensitive to growth assumptions. Understanding this model is essential for equity valuation and for estimating the required return for common stock.
Worked example
Cost of Equity (Gordon Growth) – Two Detailed Examples
Real‑World| Parameter | Value |
|---|---|
| D1 (next year dividend) | 2.1 |
| P0 (current price) | 50 |
| g (growth rate %) | 4 |
| Parameter | Value |
|---|---|
| D1 | 3.2 |
| P0 | 80 |
| g | 3 |
Common mistakes
- Gordon growth model: Used to estimate the cost of equity (Re) or intrinsic stock value.
- D1: The expected dividend per share in the next period – not the current dividend.
- P0: The current stock price.
- g: The expected constant growth rate of dividends.
- Assumptions: Dividends grow at a constant rate indefinitely – applicable to mature, stable companies.
- Limitations: Not valid if g ≥ Re – the model breaks down.
Applications
The Gordon Growth Model (also known as the Dividend Discount Model) estimates the cost of equity (Re) using the expected dividend per share (D1), the current share price (P0), and the expected constant growth rate of dividends (g). This is a fundamental valuation tool for companies that pay dividends and have stable growth. Investors use it to estimate the required return and to determine if a stock is fairly priced. By applying the model, analysts can value stocks and compare them to alternatives. It is also used in calculating WACC and in assessing the sustainability of dividend policy. While simple, it is a core equity valuation method.
- Equity valuation and stock pricing
- Cost of equity estimation for WACC
- Dividend policy evaluation and sustainability check
- Investment screening and portfolio construction
- Corporate finance and capital structure analysis
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