Forecasting The Next Dividend For The Gordon Model

Why the Next Dividend Matters

A dividend-growth valuation uses the cash payment an investor expects to receive next, not simply the most recently reported payment. That distinction is easy to overlook because companies commonly report a dividend that has already been paid, while an investor making a valuation today is looking forward. The first task is therefore a timing task: identify the latest dividend, establish the growth period, and forecast the next annual dividend.

This forecast is an input to the Gordon constant-growth model, not a separate valuation method. The relevant model assumes a share is valued immediately after the latest dividend has been paid. The next dividend is expected one year later, and dividends then grow at a constant annual rate indefinitely. All amounts and rates must refer to the same annual period.

Definition: Let $D_0$ be the most recent annual dividend already paid, and let $g$ be the expected annual dividend growth rate from that dividend to the next one. The next expected annual dividend is $D_1$, with $D_1=D_0(1+g)$. In the Gordon model, $D_1$ is the dividend expected one year after the valuation date; it is not the dividend already paid at that date.

The notation follows a timeline. At time 0, the company has just paid $D_0$, and the share is valued at $P_0$. At time 1, the next annual payment $D_1$ is expected. If growth is constant from then on, the following payment is $D_2=D_1(1+g)$, and the same annual growth assumption continues thereafter.

D_1=D_0(1+g), \qquad P_0=\frac{D_1}{k_e-g}, \qquad k_e>g

Here $k_e$ is the investor’s required annual return on common equity. The Gordon price equation requires a constant growth rate in dividends, a required return that exceeds that growth rate, and an expected dividend stream continuing indefinitely. It is not appropriate to insert a dividend amount from a different period without converting it to the next expected annual amount.

From a Paid Dividend to an Expected Dividend

The conversion is a one-period growth calculation. If the most recent annual dividend was $D_0$ and the forecast is that the dividend will grow by $g$ over the next year, the increase is $D_0g$. Adding that increase to the dividend already paid gives $D_0+D_0g=D_0(1+g)$. This is why the growth factor multiplies the latest dividend.

$$ D_1=D_0+D_0g=D_0(1+g) $$

Once $D_1$ is identified, it is used in the Gordon equation. Rearranging that equation gives the familiar cost-of-equity expression $k_e=D_1/P_0+g$. The dividend yield in this expression is therefore the next expected annual dividend divided by the current price, not the already-paid dividend divided by the price.

Timing rule: First establish what dividend amount is known and when it was paid. Then grow that amount over the stated forecast interval to obtain $D_1$. Use $D_1$, not $D_0$, in $P_0=D_1/(k_e-g)$. This rule presumes $D_0$ is the annual dividend just paid and the forecast interval is one year.

Worked Applications

Worked Example: A Paid Dividend and a One-Year Growth Forecast

A hypothetical company has just paid an annual dividend of $1.80 per share. Investors expect the dividend to grow at 4% per year indefinitely. The share price immediately after the payment is $30.00. Estimate the cost of equity using the Gordon model.

Method and assumptions. Treat $1.80 as $D_0$, the annual dividend already paid. The forecast interval is one year, the annual growth rate is $g=0.04$, and growth is assumed constant indefinitely. The valuation date is just after $D_0$ was paid. Use the Gordon model only if the resulting $k_e$ exceeds $g$.

Step 1: Forecast the next annual dividend.

D_1=1.80(1+0.04)=1.80(1.04)=\$1.872

Step 2: Find the expected dividend yield.

\frac{D_1}{P_0}=\frac{1.872}{30.00}=0.0624=6.24\%

Step 3: Add the constant growth rate.

k_e=\frac{D_1}{P_0}+g=0.0624+0.0400=0.1024=10.24\%

Check. The required return exceeds growth: $10.24\%>4.00\%$. Substitution into the price equation gives $1.872/(0.1024-0.0400)=1.872/0.0624=\$30.00$, matching the stated price. Reported to two decimal places, the estimate is 10.24%.

Common mistake avoided. Using $1.80/30.00$ as the dividend yield would give $6.00\%$, and then $k_e=10.00\%$. That uses a dividend already paid in place of the next expected payment. The correction is to grow $D_0$ first and use $D_1=\$1.872$.

Worked Example: Converting a Quarterly Dividend to an Annual Forecast

A hypothetical company has just paid a quarterly dividend of $0.36 per share. Assume the quarterly dividend is level across the year, so its annualized current amount is four times the quarterly payment. Investors forecast 5% annual growth from that annualized amount. The share price is $21.60. Estimate the annual cost of equity.

Method and assumptions. The annualized current dividend is the annual base $D_0$. The forecast growth rate is annual, and the share price and required return are also interpreted on an annual basis. This conversion would not be justified by simply multiplying by four if the quarterly payments were materially unequal or seasonal.

Step 1: Annualize the current quarterly payment.

D_0=4(\$0.36)=\$1.44

Step 2: Apply one year of annual growth.

D_1=\$1.44(1+0.05)=\$1.44(1.05)=\$1.512

Step 3: Calculate the annual dividend yield and required return.

\frac{D_1}{P_0}=\frac{1.512}{21.60}=0.0700=7.00\%

k_e=0.0700+0.0500=0.1200=12.00\%

Check. Since $12.00\%>5.00\%$, the model’s return-growth condition holds. The price implied by the inputs is $1.512/(0.12-0.05)=1.512/0.07=\$21.60$, the given price. The annual estimate is 12.00%.

Common mistake avoided. Adding 5% growth to the quarterly payment and treating the result as an annual dividend would mix periods. The correction is to establish an annual base first, then apply the annual growth forecast once.

Worked Example: A Forecast Decline in Dividends

A hypothetical company has just paid an annual dividend of $2.50 per share. Analysts expect the annual dividend to decline by 2% each year indefinitely. The share price immediately after the payment is $25.00. Estimate the cost of equity and check the model conditions.

Method and assumptions. Set $D_0=\$2.50$ and $g=-0.02$. The negative growth rate applies from the latest paid dividend to the next annual dividend and continues at the same rate indefinitely. A decline does not make the growth calculation different: the growth factor is $1+g=0.98$.

Step 1: Forecast the next dividend.

D_1=\$2.50(1-0.02)=\$2.50(0.98)=\$2.45

Step 2: Calculate the next-dividend yield.

\frac{D_1}{P_0}=\frac{2.45}{25.00}=0.098=9.80\%

Step 3: Include negative growth in the required-return expression.

k_e=0.098+(-0.02)=0.078=7.80\%

Check. The condition $k_e>g$ holds because $7.80\%>-2.00\%$. The Gordon price is $2.45/(0.078-(-0.02))=2.45/0.098=\$25.00$. The implied cost of equity, reported to two decimal places, is 7.80%.

Common mistake avoided. A decline of 2% means $1-0.02$, not $1+0.02$. Applying a positive growth factor would forecast $2.55 and would contradict the stated decline.

Keep the Timeline and Units Consistent

The definition of $D_1$ depends on the valuation date. In this treatment, the valuation occurs just after the latest dividend is paid, so the upcoming annual payment is one year away. If a price is observed on a different date, clarify whether the latest dividend has already been paid and whether the price includes an imminent payment. Do not silently change the date convention while keeping the same $D_0$ and $D_1$ labels.

Likewise, match the growth period to the dividend period. An annual growth rate is applied once to a current annual dividend to forecast the next annual dividend. If a forecast is stated per quarter, first determine the annual growth factor implied by the quarterly rate when the model requires an annual rate. For a quarterly rate $g_q$ compounded over four quarters, the effective annual rate is $(1+g_q)^4-1$, not simply $g_q$. The frequency of actual payments also matters: multiplying one quarterly payment by four is an annualized run-rate assumption, not a fact about a year’s total when payments vary.

Identify the latest dividend.
Determine whether the stated amount is already paid, and whether it is annual or periodic.

Match the growth interval.
Use the growth rate over the period between the known dividend and the forecast dividend; convert rates if their periods differ.

Calculate $D_1$.
For one year of annual growth, use $D_1=D_0(1+g)$.

Apply and check the Gordon model.
Use $D_1$ in the numerator and verify that the required return is greater than the perpetual growth rate.

This discipline matters because the numerator directly affects the estimated required return. If $D_0$ is used instead of $D_1$, the dividend yield is understated when growth is positive and overstated when growth is negative. The resulting estimate is internally inconsistent with the expected cash flow investors are assumed to receive.

A final check is to reconstruct the price. After finding $k_e$, compute $D_1/(k_e-g)$. If the inputs and timing have been handled consistently, this should reproduce $P_0$, subject to rounding. Also check that $k_e>g$; otherwise the constant-growth perpetuity does not converge to a finite positive value under the stated model.

Key takeaway: In the Gordon model, the dividend already paid is a starting point for forecasting, not the numerator itself. Convert it into the next expected annual dividend using the stated growth assumption, preserve consistent timing and units, and then use that forecast as $D_1$.

Check Your Understanding

For each problem, identify the known dividend and forecast interval before applying the Gordon model. Answers are rounded only as stated.

A hypothetical firm has just paid an annual dividend of $1.25. Its annual dividend is expected to grow by 6% indefinitely, and its share price is $25.00. Find $D_1$ and the implied cost of equity. (Answer: $D_1=\$1.325$; $k_e=11.30\%$.)
A company’s latest quarterly dividend was $0.55. Assume equal quarterly payments for annualization, then 3% annual growth from that annualized base. If the share price is $32.00, find the next expected annual dividend and the Gordon cost of equity. (Answer: $D_1=\$2.266$; $k_e\approx10.08\%$.)
A company has just paid an annual dividend of $3.00 and expects no dividend growth. Its share price is $40.00. Find $D_1$ and the implied cost of equity, and state whether $k_e>g$. (Answer: $D_1=\$3.00$; $k_e=7.50\%$; yes, $7.50\%>0\%$.)
A hypothetical share has a current annual dividend of $1.60 just paid. Dividends are expected to decline by 5% annually indefinitely, and the share price is $20.00. Find $D_1$, the implied cost of equity, and verify the return-growth condition. (Answer: $D_1=\$1.52$; $k_e=2.60\%$; yes, $2.60\%>-5.00\%$.)
A firm’s annual dividend just paid is $1.50. Forecast growth is 1% per quarter, compounded for four quarters, and the share price is $24.00. Convert the quarterly rate to an effective annual rate, then find $D_1$ and $k_e$. Report rates to two decimal places. (Answer: annual growth $(1.01)^4-1\approx4.06\%$; $D_1\approx\$1.5609$; $k_e\approx10.56\%$.)

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