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CAPM Calculator – Capital Asset Pricing Model

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### Sharpe-Lintner Capital Asset Pricing Model (CAPM) Standards The **Capital Asset Pricing Model (CAPM)** describes the relationship between systematic risk and expected return for assets.

Reviewed by Ahmad Faraz · BSCS
Last updated:
Editorial Guidelines

Input Values

📊 Results

Expected Return E(Ri)
11.15
%
Market Risk Premium (MRP)
5.75
%
Beta Risk Premium
6.9
%
Systematic Risk Level
Market-Correlated (0.8 ≤ β ≤ 1.2)
Cost of Equity (Ke for WACC)
11.15
%
Capital Asset Pricing Model Summary
CAPM Analysis (Apple Tech (β=1.20)): Expected Return E(Ri) = 11.15% (Formula: 4.25% Rf + [1.20 × 5.75% MRP]). Cost of Equity Ke = 11.15% for WACC and discounted cash flow (DCF) valuation models. Classification: Market-Correlated (0.8 ≤ β ≤ 1.2).
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📐 Formula

Formula Reference: CAPM Calculator – Capital Asset Pricing Model
Input variables:
riskFreeRate — Risk-Free Rate Rf (%)
assetBeta — Asset Systematic Beta (β)
expectedMarketReturn — Expected Market Return E(Rm) (%)
specificRiskPremium — Size / Specific Risk Premium (%)
Computed outputs:
expectedReturn — Expected Return E(Ri)
marketRiskPremium — Market Risk Premium (MRP)
betaRiskPortion — Beta Risk Premium
riskCategory — Systematic Risk Level
waccCostOfEquity — Cost of Equity (Ke for WACC)
Mathematical relationships extracted from calculation logic:
mrp = rawRm - rawRf
betaPremium = beta * mrp
expectedReturn = rawRf + betaPremium + rawSpec
Standard: Published population-average reference data (CDC, USDA, DOE)

💡 Practical Example

An investor evaluating Apple stock with a beta of 1.20 when 10-year Treasury bonds yield 4.25% and the S&P 500 is projected to return 10.0% expects an 11.15% annualized return to justify holding the stock.

📖 About CAPM Calculator – Capital Asset Pricing Model

Sharpe-Lintner Capital Asset Pricing Model (CAPM) Standards

The Capital Asset Pricing Model (CAPM) describes the relationship between systematic risk and expected return for assets, particularly equities:

  • Fundamental Equation: $E(R_i) = R_f + \beta_i \times [E(R_m) - R_f] + \alpha$
  • Risk-Free Rate ($R_f$): Yield on benchmark government sovereign debt (typically the 10-Year US Treasury yield).
  • Beta ($\beta$): Sensitivity of an asset's returns relative to market portfolio swings.
  • Market Risk Premium (MRP): The excess return demanded by investors over the risk-free rate for holding risky equities: $[E(R_m) - R_f]$.
  • Cost of Equity ($K_e$) in WACC: Serves as the equity discount rate in corporate valuation: $\text{WACC} = \left(\frac{E}{V} \times K_e\right) + \left(\frac{D}{V} \times K_d \times (1 - t)\right)$.

Asset Beta Benchmarks Table

  • Defensive Healthcare / Pharma: $E(R_i) = 4.25\% + (0.55 \times 5.75\%) = 7.41\%$
  • Regulated Utility: $E(R_i) = 4.25\% + (0.65 \times 5.75\%) = 7.99\%$
  • Broad Market Index / S&P 500: $E(R_i) = 4.25\% + (1.00 \times 5.75\%) = 10.00\%$
  • Large-Cap Tech / Apple: $E(R_i) = 4.25\% + (1.20 \times 5.75\%) = 11.15\%$
  • High-Beta Growth / Tesla: $E(R_i) = 4.25\% + (1.85 \times 5.75\%) = 14.89\%$

How to Use This Calculator

Enter Risk-Free Rate Rf (%), Asset Systematic Beta (β), Expected Market Return E(Rm) (%), Size / Specific Risk Premium (%) into the input fields and the calculator will instantly compute Expected Return E(Ri), Market Risk Premium (MRP). 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 CAPM – Capital Asset Pricing Model result gives you a precise, calculated value based on the inputs you provide. Compare your result against published benchmarks from CDC, USDA, and DOE 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 CAPM – Capital Asset Pricing Model is most useful when you have specific, real-world data to enter. For example: enter your actual Risk-Free Rate Rf (%) to calculate your expected return e(ri). The result helps general public, households, and individuals make informed decisions about everyday calculations for health, home, nutrition, time, and personal planning. This calculator is trusted by professionals and individuals alike because it follows the exact formulas validated by CDC, USDA, and DOE.

Accuracy Notes and Limitations

Results are general estimates. Your specific conditions (climate, lifestyle, physical state) may require adjustments. 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 daily life tools to build a complete analytical picture. Combining multiple related calculations provides stronger evidence for decisions than relying on any single metric. Browse the Daily Life category to find complementary calculators for your specific use case.

💡 Methodological Standards & Calculation Accuracy

  • All calculations are performed client-side in your browser using verified, standards-compliant mathematical algorithms.
  • Results are provided for educational and informational analysis; verify critical applications with certified domain specialists.
  • Ensure input values are entered in consistent units matching the selector options to guarantee accurate outputs.
  • Periodic recalibration is recommended whenever baseline assumptions, operating parameters, or external conditions change.

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

Frequently Asked Questions

What is the CAPM formula?

The CAPM formula is E(Ri) = Rf + β × (E(Rm) - Rf), where Rf is the risk-free rate, β is asset beta, and (E(Rm) - Rf) is the market risk premium.

What is a good beta for a stock?

A beta of 1.0 matches overall market volatility. Conservative investors prefer betas below 1.0, while aggressive growth investors look for betas above 1.2.

What is the market risk premium?

The market risk premium is the expected return of the broad stock market minus the risk-free rate.

How is CAPM used in corporate finance?

Companies use CAPM to determine their Cost of Equity (Ke), which is then plugged into the Weighted Average Cost of Capital (WACC) to discount future cash flows in valuation models.

What is the risk-free rate typically based on?

In US financial markets, the risk-free rate is almost universally benchmarked to the yield on 10-Year US Treasury bonds.

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