The Gordon Growth Model

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 The Gordon Growth Model is a widely used financial model that estimates the intrinsic value of a stock based on its expected future dividend payments. The model assumes that dividends will grow at a constant rate forever.


Formula:


The Gordon Growth Model formula is:


P = D / (r - g)


Where:


- P = Current stock price

- D = Expected dividend per share

- r = Required rate of return (cost of equity)

- g = Expected growth rate of dividends


Assumptions ; 


1. *Constant dividend growth rate*: The model assumes that dividends will grow at a constant rate forever.

2. *Constant required rate of return*: The model assumes that the required rate of return (cost of equity) remains constant.

3. *Infinite time horizon*: The model assumes that the company will continue to pay dividends forever.


 Example:


Suppose we want to estimate the intrinsic value of a stock with the following parameters:


- Expected dividend per share (D) = $5

- Required rate of return (r) = 10%

- Expected growth rate of dividends (g) = 5%


Using the Gordon Growth Model formula, we get:


P = $5 / (0.10 - 0.05)

P = $5 / 0.05

P = $100


Therefore, the estimated intrinsic value of the stock is $100.


Strengths and Limitations : 


Strengths:


1. *Simple and intuitive*: The Gordon Growth Model is easy to understand and apply.

2. *Useful for dividend-paying stocks*: The model is particularly useful for estimating the intrinsic value of dividend-paying stocks.


Limitations :


1. *Assumes constant growth rate*: The model assumes that dividends will grow at a constant rate forever, which may not be realistic.

2. *Ignores other factors*: The model ignores other factors that may affect the stock's value, such as interest rates, inflation, and market sentiment.

3. *Sensitive to input parameters*: The model is sensitive to the input parameters, particularly the required rate of return and the growth rate of dividends.

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