by Gordon’s model, developed by Professor Myron J. Gordon, also proposes that the dividend policy is relevant to the market value of a firm. Similar to Walter’s model, Gordon’s model emphasizes the relationship between dividend policy and stock prices, but it also factors in the perception of risk and the behavior of investors.
Formula of Gordon’s Model
The price of a share according to Gordon’s model is given by:
P = [E(1−b)] / [k−br]
Where:
- P: Market price per share
- E: Earnings per share
- b: Retention ratio (the proportion of earnings retained for reinvestment)
- k: Cost of equity or required rate of return by shareholders
- r: Rate of return on retained earnings
In Gordon’s model, the retention ratio (b) plays a key role in determining the price of the stock. If the firm retains more earnings (higher b), it reduces immediate dividends, but increases future growth, assuming the firm can reinvest earnings at a rate higher than the cost of equity.
1. Growth Firms (r > k)
- For firms with a high return on investment (r) relative to the cost of capital (k), it is better to retain earnings and reinvest.
- This will lead to higher future dividends and capital appreciation, thus maximizing the stock price.
2. Normal Firms (r = k)
- In a normal firm, where the return on investment equals the cost of capital, dividend payout does not significantly affect the stock price.
- Investors are indifferent between receiving dividends or seeing earnings reinvested.
3. Declining Firms (r < k)
- When the return on investment is less than the cost of capital, it is better to distribute earnings as dividends.
- Investors can achieve better returns by reinvesting the dividends elsewhere, and thus the stock price is maximized by paying higher dividends.
Assumptions of Gordon’s Model
1. All-Equity Financing
Gordon’s Model assumes that the firm follows an all-equity financing policy and does not use debt financing. Investment requirements are financed through retained earnings, making dividend decisions directly connected with internal financing. The model therefore focuses on the relationship between earnings, dividends, retention, growth, and market value. This assumption simplifies the analysis by eliminating the effects of financial leverage, interest costs, and changes in capital structure on the firm’s valuation and dividend policy.
2. Constant Internal Rate of Return
The model assumes that the firm’s internal rate of return (r) remains constant over time. Retained earnings are assumed to be reinvested in projects that generate the same rate of return. This means that additional investments do not change the profitability of the firm’s investment opportunities. The assumption helps establish a predictable relationship between retained earnings and future growth. In practice, however, investment returns may vary because of changing business conditions and investment opportunities.
3. Constant Cost of Equity
Gordon’s Model assumes that the firm’s cost of equity (Ke) remains constant over time. Shareholders are assumed to require a stable rate of return on their investment. Changes in dividend payments or retained earnings do not alter the required return under this assumption. A constant cost of equity allows the model to calculate the present value of expected future dividends more easily. In reality, changes in business risk, financial risk, and market conditions may affect shareholders’ required returns.
4. Constant Growth Rate
The model assumes a constant growth rate (g) in the firm’s earnings and dividends. Growth is generally determined by the relationship between the retention ratio (b) and the rate of return (r), expressed as g = br. The firm is assumed to maintain this growth rate indefinitely. This assumption allows future dividends to be estimated using a stable growth pattern. Actual firms, however, may experience changing growth because of competition, economic conditions, technology, and investment opportunities.
5. Firm Has an Infinite Life
Gordon’s Model assumes that the firm has an infinite life and will continue operating indefinitely. Therefore, future dividends are expected to continue for an unlimited period. The value of the share is determined by the present value of the expected future dividend stream. This assumption makes it possible to apply the constant-growth dividend valuation formula. Although it simplifies valuation, actual businesses may experience restructuring, acquisition, financial distress, changing strategies, or eventual termination.
6. No External Financing
The model assumes that the firm does not obtain additional funds through external equity or debt financing. Investment requirements are met entirely through retained earnings. Therefore, the firm’s growth depends directly on the proportion of earnings retained. If the retention ratio increases, more funds become available for reinvestment and growth. Conversely, higher dividends reduce retained earnings and therefore affect growth. This assumption creates a direct connection between dividend policy and investment financing within the model.
7. Stable Dividend and Earnings Relationship
Gordon’s Model assumes a stable relationship between earnings, dividends, retention, and growth. The proportion of earnings distributed as dividends and the proportion retained for investment remain consistent. This allows investors to estimate future dividend payments with reasonable mathematical certainty. The model therefore assumes that management follows a stable dividend payout policy. In actual circumstances, dividend policies can change because of liquidity requirements, investment opportunities, taxation, economic conditions, and changes in corporate financial strategy.
8. Dividend Policy Affects Share Value
A central assumption of Gordon’s Model is that dividend policy is relevant to the market value of shares. Investors are assumed to prefer certain and relatively predictable current dividends because of the uncertainty associated with future capital gains. Consequently, changes in the dividend payout ratio can affect the perceived value of equity shares. The model therefore emphasizes the relationship between current dividends, expected growth, investor return requirements, and market price, making dividend policy an important valuation factor.
Importance of Gordon’s Model
1. Explains Dividend Relevance
Gordon’s Model is important because it explains the relevance of dividend policy to the market value of equity shares. According to the model, changes in dividends can influence share valuation because investors consider the timing and certainty of expected dividend income. The model connects current dividends, future growth, retention ratio, and cost of equity. It therefore provides a theoretical explanation of why dividend decisions may affect shareholder wealth and why management should carefully consider dividend policy while making financial decisions.
2. Helps in Share Valuation
The model provides a useful framework for estimating the intrinsic value of equity shares based on expected future dividends. Under the constant-growth approach, the value of a share is calculated by dividing the expected dividend by the difference between the cost of equity and growth rate. This provides financial managers and students with a simple valuation mechanism. It demonstrates how changes in dividend expectations, growth, and required return can influence the theoretical market value of an equity share.
3. Supports Dividend Policy Decisions
Gordon’s Model assists management in understanding the consequences of different dividend payout and retention policies. Retaining more earnings can increase future growth when the firm has profitable investment opportunities, while distributing more earnings can provide greater current dividend income. The model therefore encourages managers to consider the relationship between retention, reinvestment, growth, and shareholder returns. This makes it useful for analyzing alternative dividend policies and understanding how payout decisions can influence the theoretical value of the firm.
4. Emphasizes Investor Preferences
The model highlights the importance of investor expectations and dividend income in determining share value. Gordon argued that investors may place greater value on relatively certain current dividends compared with uncertain future capital gains. This idea is often described through the “bird-in-the-hand” perspective. The model therefore emphasizes the role of dividend stability and investor confidence in valuation. It helps students understand how assumptions regarding risk, certainty, dividends, and future returns can influence theories of dividend policy.
5. Connects Retention with Growth
Gordon’s Model clearly demonstrates the relationship between retained earnings and business growth. The growth rate is represented by g = br, where b represents the retention ratio and r represents the rate of return on retained earnings. This relationship helps managers understand that retaining profits can support future growth when retained funds are invested productively. The model therefore integrates dividend decisions, investment opportunities, earnings retention, and growth, providing a useful framework for studying corporate financial policy.
6. Provides a Simple Mathematical Framework
The model offers a relatively simple mathematical approach to understanding dividend valuation. Its key variables include dividend per share, cost of equity, growth rate, retention ratio, and rate of return. Because the relationships are expressed through straightforward formulas, the model is useful for academic learning, examination preparation, and basic financial analysis. Students can change individual variables and observe their effect on theoretical share value, making Gordon’s Model an accessible tool for understanding dividend-based equity valuation.
7. Assists Long-Term Financial Planning
Gordon’s Model can contribute to long-term financial planning by highlighting the relationship between dividend distribution and reinvestment. Management must consider how much profit should be distributed and how much should be retained for future investment. The model shows that retention can contribute to growth when retained earnings generate appropriate returns. Therefore, it encourages consideration of future investment requirements, earnings growth, dividend expectations, and shareholder returns while developing long-term financial and dividend strategies.
8. Useful for Comparative Financial Analysis
The model can be used as a theoretical tool for comparative financial analysis. Management and students can examine how differences in growth rates, dividend payout ratios, rates of return, and costs of equity affect calculated share values. This makes it useful for understanding the financial consequences of alternative assumptions. Although actual valuation requires consideration of many additional factors, Gordon’s Model provides a structured basis for comparing dividend and growth situations and understanding the theoretical connection between dividend policy and equity valuation.
Limitations of Gordon’s Model
1. Constant Growth Assumption
A major limitation is the assumption of a constant growth rate in dividends and earnings. In reality, firms rarely maintain exactly the same growth rate indefinitely. Growth may change because of economic conditions, competition, technological developments, market demand, business cycles, and investment opportunities. Young companies may experience rapid growth, while mature companies may grow more slowly. Therefore, the constant-growth assumption can make the model less realistic for firms whose earnings and dividends fluctuate significantly over time.
2. Constant Cost of Equity
The model assumes that the cost of equity (Ke) remains constant. In practice, investors’ required returns can change because of variations in business risk, financial risk, interest rates, inflation, market conditions, and investor expectations. Changes in the firm’s risk profile may therefore influence its cost of equity. Because Gordon’s Model assumes a stable required return, it may not accurately reflect situations where the risk associated with the company or its expected future cash flows changes significantly over time.
3. Constant Rate of Return
Gordon’s Model assumes that the rate of return on retained earnings (r) remains constant. However, firms may face different investment opportunities with different levels of profitability. As a company grows, highly profitable projects may become limited, causing the return on additional investments to change. External economic and competitive conditions can also influence investment returns. Consequently, assuming a constant rate of return may oversimplify the relationship between retained earnings, investment opportunities, and future growth.
4. Restrictive Financing Assumption
The model assumes that investment is financed entirely through retained earnings and does not consider external financing. In practice, companies may raise funds through debt, preference shares, or new equity. External financing can allow a firm to undertake investments without necessarily reducing dividends by the same amount. By excluding these financing alternatives, Gordon’s Model provides a simplified representation of corporate financial decisions and may not adequately reflect the relationship between dividend policy, investment requirements, and capital structure.
5. Infinite Life Assumption
The model assumes that the firm will have an infinite operating life and continue paying dividends indefinitely. Actual businesses operate under changing circumstances and may undergo mergers, acquisitions, restructuring, liquidation, financial distress, or strategic transformation. Their dividend streams may therefore not continue indefinitely. The infinite-life assumption is useful for mathematical simplicity but can reduce the model’s practical applicability when evaluating companies with uncertain future operations, significant structural changes, or limited periods of stable dividend growth.
6. Ignores Market Imperfections
Gordon’s Model does not adequately incorporate several market imperfections that can affect dividend decisions and share valuation. These may include tax differences, transaction costs, information asymmetry, investor preferences, regulatory restrictions, and flotation costs. Such factors can influence whether investors prefer dividends or capital gains and can affect the market value of shares. Because the model operates under simplified conditions, it may not fully explain actual investor behavior or the complex financial environment in which dividend decisions are made.
7. Assumes Stable Dividend Policy
The model assumes that the firm maintains a relatively stable dividend payout policy. In reality, dividend decisions may change according to cash availability, profitability, investment requirements, debt obligations, liquidity, taxation, and management strategy. Companies may increase, decrease, suspend, or maintain dividends depending on their financial circumstances. Because Gordon’s Model relies on stable dividend growth, it may provide misleading results when a company follows an irregular dividend policy or experiences substantial changes in its financial position.
8. Limited Applicability to High-Growth Firms
Gordon’s Model is based on a constant-growth valuation framework, which limits its usefulness for firms experiencing unusually high or changing growth. For a high-growth company, the growth rate may initially be significantly higher and later decline as the firm matures. The model is also problematic when the growth rate equals or exceeds the cost of equity, because the valuation formula becomes mathematically unstable or economically unrealistic. Therefore, firms with changing growth patterns may require more flexible multi-stage dividend or cash-flow valuation models.
