Calculator Panel
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Enter your values above and click Calculate.
What This Calculator Does
This calculator estimates the fair value of a stock based on its dividend payments, expected growth, and the investor's required rate of return using the Dividend Discount Model.
How to Use This Calculator
Enter the current annual dividend, expected dividend growth rate, and required rate of return. Click Calculate to compute the intrinsic value.
How the Calculation Works
The underlying math engine processes your inputs using exact formulas. This systematic approach ensures professional, institutional-grade calculation precision:
Mathematical Formula
Formula Legend:
- · D_1 = Expected dividend in the next year (D_0 * (1 + g)).
- · r = Required rate of return (cost of equity).
- · g = Constant dividend growth rate.
Practical Example
A stock pays a current annual dividend of $2.50. The dividends are projected to grow at 4.0% per year, and your required rate of return is 9.0%:
Step-by-Step Mathematical Walkthrough:
- 1 Current dividend (D_0) = $2.50.
- 2 Expected Year 1 dividend (D_1) = $2.50 * (1 + 0.04) = $2.60.
- 3 Required return (r) = 9.0% (0.09). Growth rate (g) = 4.0% (0.04).
- 4 Subtract rates: r - g = 0.09 - 0.04 = 0.05.
- 5 Divide: $2.60 / 0.05 = $52.00.
- 6 The intrinsic value of the stock is exactly $52.00.
Important Assumptions & Notes
- The company pays a continuous and growing dividend.
- The dividend growth rate remains constant indefinitely.
- The required rate of return is strictly greater than the growth rate.
Common Mistakes or Considerations
- Using this model for non-dividend paying stocks, where other cash flow metrics like free cash flows are needed.
- Setting an unrealistic dividend growth rate that exceeds the required rate of return, causing a mathematical breakdown.
Frequently Asked Questions
What is the Gordon Growth Model?
The Gordon Growth Model (GGM) is a method for calculating the intrinsic value of a stock, assuming that dividends grow at a constant rate indefinitely.
How is required rate of return determined?
Required rate of return is often estimated using the Capital Asset Pricing Model (CAPM): Risk-Free Rate + Beta * (Market Risk Premium).
Can this calculator value growth stocks?
Only if they pay dividends. For non-dividend paying growth stocks, a discounted cash flow (DCF) model is far more appropriate.
What happens if required return is less than growth rate?
The formula will output a negative price, which is mathematically invalid. In reality, no stock can sustain a growth rate higher than its required return rate permanently.
What is the margin of safety?
The margin of safety is the difference between a stock's calculated intrinsic value and its current market price. Buying when market price is below intrinsic value provides protection.