How to Calculate Current Stock Price Using Beta

An expert financial calculator using the Capital Asset Pricing Model (CAPM) and Dividend Growth Model to estimate a stock’s intrinsic value.

Stock Price Calculator

What is Calculating Stock Price Using Beta?

Calculating the current stock price using beta is a multi-step valuation method designed to determine the intrinsic value of a company’s stock. This technique is not a simple, single formula but rather a combination of two cornerstone financial theories: the Capital Asset Pricing Model (CAPM) and the Gordon Growth Model (a form of Dividend Discount Model). This approach is best suited for stable, mature companies that pay regular, growing dividends.

First, the CAPM is used to calculate the stock’s required rate of return (often denoted as ‘k’). This rate represents the minimum return an investor should expect for taking on the risk of owning that specific stock. A key input for this is Beta (β), which measures the stock’s volatility relative to the broader market. A higher beta implies higher risk, which in turn leads to a higher required rate of return. After finding ‘k’, this value is then plugged into the Gordon Growth Model, which uses the required rate of return, the expected next-year dividend, and the constant dividend growth rate to solve for the stock’s present value. This final value is the theoretical or estimated current stock price.

The Formulas for Calculating Stock Price Using Beta

As mentioned, this valuation involves a two-step process using two distinct formulas.

Step 1: Capital Asset Pricing Model (CAPM)

First, we determine the required rate of return (k). Read our guide on the {related_keywords} for more details.

k = R_f + β * (R_m – R_f)

Step 2: Gordon Growth Model (GGM)

Next, we use ‘k’ in the GGM to find the stock price (P₀). This model is a type of {related_keywords}.

P₀ = D₁ / (k – g)

Variables Table

Variable	Meaning	Unit	Typical Range
P0	Estimated Current Stock Price	Currency ($)	Varies
k	Required Rate of Return	Percentage (%)	5% – 20%
Rf	Risk-Free Rate	Percentage (%)	1% – 5% (based on government bond yields)
β	Stock’s Beta	Unitless Ratio	0.5 – 2.5
Rm	Expected Market Return	Percentage (%)	8% – 12%
D1	Expected Dividend Next Year	Currency ($)	Varies
g	Constant Dividend Growth Rate	Percentage (%)	0% – 6% (must be less than k)

Understanding each variable is key to performing a correct beta stock price calculation.

Practical Examples

Example 1: Stable Utility Company

Let’s consider a stable utility company, which typically has low volatility.

• Inputs:
  • Risk-Free Rate (R_f): 4.0%
  • Stock’s Beta (β): 0.8
  • Expected Market Return (R_m): 10.0%
  • Expected Dividend Next Year (D₁): $3.00
  • Dividend Growth Rate (g): 4.5%
• Calculation:
  1. Calculate ‘k’: k = 4.0% + 0.8 * (10.0% – 4.0%) = 4.0% + 4.8% = 8.8%
  2. Calculate Price: P₀ = $3.00 / (0.088 – 0.045) = $3.00 / 0.043 = $69.77

Example 2: Growth-Oriented Tech Company

Now, let’s look at a tech company with higher volatility and growth prospects.

• Inputs:
  • Risk-Free Rate (R_f): 4.0%
  • Stock’s Beta (β): 1.5
  • Expected Market Return (R_m): 10.0%
  • Expected Dividend Next Year (D₁): $1.50
  • Dividend Growth Rate (g): 7.0%
• Calculation:
  1. Calculate ‘k’: k = 4.0% + 1.5 * (10.0% – 4.0%) = 4.0% + 9.0% = 13.0%
  2. Calculate Price: P₀ = $1.50 / (0.130 – 0.070) = $1.50 / 0.060 = $25.00

How to Use This Stock Price Calculator

Our calculator simplifies this two-step process into a single tool. Follow these steps for an accurate estimation:

1. Enter the Risk-Free Rate: Input the current yield on a long-term government bond (e.g., the 10-year U.S. Treasury). You can learn more about {related_keywords} in our guide.
2. Enter the Stock’s Beta: Find the stock’s published Beta from a reliable financial data provider. If you’re unsure, explore our article on {related_keywords}.
3. Enter the Expected Market Return: This is the long-term average return you expect from the stock market as a whole (e.g., S&P 500).
4. Enter the Expected Dividend: Input the total cash dividend per share you expect the company to pay in the upcoming year.
5. Enter the Dividend Growth Rate: Estimate the perpetual rate at which you expect the dividend to grow. This rate must be lower than the calculated Required Rate of Return for the model to work.
6. Click “Calculate”: The tool will display the estimated stock price and the intermediate calculation of the required rate of return.

Key Factors That Affect the Stock Price Calculation

• Interest Rate Changes: A change in the central bank’s interest rates directly impacts the {related_keywords}, altering the entire calculation.
• Market Sentiment: Broad market optimism or pessimism affects the Expected Market Return and the {related_keywords} component of the CAPM formula.
• Company-Specific News: Positive or negative news can alter a stock’s Beta, reflecting a change in its perceived risk relative to the market.
• Dividend Policy Changes: A company’s decision to increase, decrease, or suspend dividends directly impacts D₁ and g, having a massive effect on the valuation.
• Economic Growth Forecasts: The overall health of the economy influences both market return expectations and the sustainable dividend growth rate for companies.
• Inflation: High inflation can push up the risk-free rate and may impact a company’s ability to grow real dividends, affecting all variables.

Frequently Asked Questions (FAQ)

1. Can I use this calculator for stocks that don’t pay dividends?

No. This specific model, using the Gordon Growth Model, is fundamentally based on dividends. For non-dividend-paying stocks, you would need to use other valuation methods like a Discounted Cash Flow (DCF) analysis or an {related_keywords} based on earnings.

2. What does a Beta of 1.0 mean?

A Beta of 1.0 indicates that the stock’s price is expected to move in line with the overall market. If the market goes up 10%, the stock is expected to go up 10%, and vice versa.

3. What happens if the dividend growth rate (g) is higher than the required return (k)?

Mathematically, the formula becomes invalid and results in a negative price, which is meaningless. Conceptually, it implies an infinite valuation because the company’s growth outpaces its risk profile, an unsustainable scenario in the long run.

4. How accurate is this beta stock price calculation?

This method provides a theoretical estimate, not a guaranteed market price. Its accuracy depends heavily on the quality of the inputs. It’s a valuable tool for analysis but should be used alongside other research and not as the sole basis for an investment decision.

5. Where can I find the Beta of a stock?

Beta is a standard financial metric. You can typically find it on major financial news websites like Yahoo Finance, Bloomberg, and Reuters, or through your brokerage platform.

6. Why use the 10-year Treasury yield as the Risk-Free Rate?

The 10-year yield is a standard proxy because its duration roughly matches the long-term nature of stock investments. Using a very short-term rate would not be appropriate for valuing a long-term asset.

7. Is a higher estimated price always better?

A calculated intrinsic value that is significantly higher than the current market price may suggest the stock is undervalued, which could be a buy signal. Conversely, if the calculated value is much lower than the market price, the stock may be overvalued.

8. What is a “unitless” unit for Beta?

Beta is a measure of relative volatility, not an absolute value. It’s a ratio of the stock’s movement compared to the market’s movement. Therefore, it doesn’t have a unit like dollars or percent; it is simply a number.