📐

Cost of Equity Calculator (CAPM & Gordon Growth Model

Math Free Instant Private
Math

Cost of Equity ($K_e$) is the minimum rate of return a company must earn to compensate equity investors for taking on the risk of holding its stock.

Reviewed by Miss Saima · MA Mathematics
Last updated:
Editorial Guidelines

Input Values

%
%
$
$
%

📊 Results

Cost of Equity (Ke)
10.80
%
Applied Valuation Model
Capital Asset Pricing Model (CAPM)
Stock Risk Premium Over Risk-Free Rate
6.60
%
Embed on Your Website

Copy and paste this code into your website.

<iframe src="https://calcusolve.com/calculator/cost-of-equity-calculator?embed=true" width="100%" height="600" frameborder="0" loading="lazy" title="Cost of Equity Calculator (CAPM & Gordon Growth Model"></iframe>

📐 Formula

CAPM Formula: Cost of Equity (Ke) = Risk-Free Rate + Beta × (Market Return - Risk-Free Rate)
Gordon Growth Formula: Cost of Equity (Ke) = (Next Year Dividend D1 ÷ Stock Price P0) + Growth Rate g

💡 Practical Example

CAPM Model: 4.2% Risk-Free Rate, 1.2 Beta, 5.5% Market Risk Premium: Cost of Equity Ke = 4.2% + 1.2 × 5.5% = 4.2% + 6.6% = 10.80%.

📖 About Cost of Equity Calculator (CAPM & Gordon Growth Model

Cost of Equity ($K_e$) is the minimum rate of return a company must earn to compensate equity investors for taking on the risk of holding its stock.

To use the Cost of Equity Calculator (CAPM & Gordon Growth Model), enter your Calculation Valuation Model, Risk-Free Rate (10-Yr Treasury Yield), Stock Beta Coefficient (β) and other values. The calculator instantly computes Cost of Equity (Ke), Applied Valuation Model and more. Results update in real time as you change any input — no submit button needed.

How to Use This Calculator

Enter Calculation Valuation Model, Risk-Free Rate (10-Yr Treasury Yield), Stock Beta Coefficient (β), Market Equity Risk Premium (ERP) into the input fields and the calculator will instantly compute Cost of Equity (Ke), Applied Valuation Model. All calculations happen in real time — no submission or page reload required. You can adjust any input value and see the result update immediately.

Understanding Your Result

The Cost of Equity (CAPM & Gordon Growth Model) result gives you a precise, calculated value based on the inputs you provide. Compare your result against published benchmarks from NIST and ISO international standards to assess where you stand. A single calculation is a useful starting point, but tracking this metric over time — as inputs change — gives you a much more complete picture.

Practical Application

The Cost of Equity (CAPM & Gordon Growth Model) is most useful when you have specific, real-world data to enter. For example: enter your actual Calculation Valuation Model to calculate your cost of equity (ke). The result helps students, engineers, scientists, and educators make informed decisions about solving mathematical problems, verifying calculations, and teaching concepts. This calculator is trusted by professionals and individuals alike because it follows the exact formulas validated by NIST and ISO international standards.

Accuracy Notes and Limitations

Results are based on exact mathematical definitions. Verify that formula assumptions match your specific use case. The accuracy of any calculator is limited by the quality of the inputs provided. Double-check your units before entering values — unit errors are the most common source of incorrect results. For critical decisions, cross-reference with at least one additional source or professional consultation.

Frequently Used With

This calculator is often used alongside other math tools to build a complete analytical picture. Combining multiple related calculations provides stronger evidence for decisions than relying on any single metric. Browse the Math category to find complementary calculators for your specific use case.

💡 Mathematical Rigor & Applied Context

  • This calculator applies exact mathematical definitions following conventions established by NIST and international standards bodies.
  • Rounding errors accumulate across multi-step calculations. For precision-critical work, maintain extra significant figures through all intermediate steps.
  • Many mathematical concepts have multiple valid formulations — if a result seems unexpected, verify which convention or definition applies to your context.
  • Dimensional analysis (unit tracking) is the fastest way to catch formula errors. Every term in an equation must have consistent, compatible units.
  • Numerical methods used in digital calculators introduce floating-point precision limits (~15 significant digits for IEEE 754 double precision).
  • For statistical and probabilistic calculations, always specify whether you are working with population parameters or sample statistics — formulas differ.
  • Visualizing a problem geometrically or testing with known boundary values (zero, infinity, negative) reveals hidden errors faster than algebraic checking.
  • When in doubt, validate your result against a simplified hand calculation or a published worked example from a textbook or standards document.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

Frequently Asked Questions

What is Beta in CAPM?

Beta ($eta$) measures a stock's volatility relative to the broader market. $eta > 1.0$ indicates higher market volatility.

How does risk-free rate affect cost of equity?

Higher risk-free Treasury yields increase the baseline return demanded by investors, raising the total cost of equity.

How precise are the results?

Results are calculated to 4 decimal places using standard mathematical formulas. For integer-only problems, results are shown as exact whole numbers.

Can I use this on my phone or tablet?

Yes. The calculator is fully responsive and works on all screen sizes including smartphones, tablets, and desktops.

Does this calculator show step-by-step work?

The results panel shows the key output values. For detailed step-by-step working, refer to the How It Works section below the calculator.

Try Other Calculators