Capital Asset Pricing Model (CAPM
### Corporate Finance & Modern Portfolio Theory: The CAPM Framework Developed by Nobel laureate William Sharpe, the Capital Asset Pricing Model (CAPM) establishes the theoretical relationship.
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📐 Formula
💡 Practical Example
For example, analyzing a stock with a \, a risk-free rate \ (10-year Treasury), expected market return \), \(21.0\%\text{ corporate tax rate}\), and a \ that achieved a \(12.50\%\text{ realized return}\): The CAPM Expected Cost of Equity is \ = \mathbf{11.44\%}\). Jensen's Alpha is \ (outperforming benchmark). The Hamada Unlevered Beta is \(0.40)} = \mathbf{0.950}\).
📖 About Capital Asset Pricing Model (CAPM
Corporate Finance & Modern Portfolio Theory: The CAPM Framework
Developed by Nobel laureate William Sharpe, the Capital Asset Pricing Model (CAPM) establishes the theoretical relationship between systematic market risk and required return:
- Systematic vs. Unsystematic Risk: Diversification eliminates firm-specific (idiosyncratic) risk; therefore, the market only compensates investors for non-diversifiable systematic risk, measured by Beta (β).
- Jensen's Alpha (α): Measures whether a portfolio manager generated excess returns beyond the market return dictated by the portfolio's beta risk exposure.
- Hamada's Equation: Isolates pure operational business risk (β_U) from financial leverage risk introduced by corporate debt).
How to Use This Calculator
Enter your Risk-Free Rate (R_f % [e.g. 10-Yr US Treasury]) (e.g. 4.25), Expected Market Return (R_m % [e.g. S&P 500]) (e.g. 10.0), Levered Equity Beta (β_L) (e.g. 1.25 (Systematic market risk sensitivity)), Actual Realized / Historical Asset Return (% [Optional]) (e.g. 12.5 (For Jensen's Alpha calculation)), Corporate Tax Rate (T % [For Hamada Unlevering]) (e.g. 21 (21% US corporate tax)), and Debt-to-Equity Ratio (D/E Multiple) (e.g. 0.40 (0.40 D/E leverage)). Results update instantly as you type — no submit button or page reload required. Adjust any value to compare scenarios side by side.
The Formula
Modern Portfolio Theory \& Capital Asset Pricing Model (CAPM) equations:
Market Risk Premium (MRP) = R_m - R_f
CAPM Expected Return E(R_i) = R_f + β_L × (R_m - R_f)
Equity Risk Premium = β_L × MRP
Jensen's Alpha (α) = R_realized - E(R_i)
Hamada Unlevered Asset Beta (β_U) = (β_L) / (1 + (1 - T) (D)E)
Worked Example
For example, analyzing a stock with a a risk-free rate \ (10-year Treasury), expected market return , 21.0\% corporate tax rate, and a \ that achieved a 12.50\% realized return: The CAPM Expected Cost of Equity is \ = 11.44\%. Jensen's Alpha is \ (outperforming benchmark). The Hamada Unlevered Beta is 0.40) = 0.950.
Understanding Your Result
A CAPM-derived cost of equity represents the minimum return investors require to hold the asset given its systematic (market) risk. Beta above 1.0 means the stock amplifies market moves; below 1.0 means it dampens them. WACC is the blended cost of capital used to discount cash flows in DCF valuation — higher WACC lowers present value of future cash flows. For most stable public companies, WACC ranges from 6–10%; for high-growth or distressed companies, 12–20%.
💡 Financial Planning: Expert Principles & Risk Awareness
- All calculations assume fixed rates and idealized conditions. Real-world results vary due to market volatility, inflation, fees, and taxes.
- The Consumer Financial Protection Bureau (CFPB) recommends consulting a certified financial planner (CFP) for decisions involving significant sums.
- Run at least three scenarios: optimistic, pessimistic, and most-likely — to understand the full range of potential outcomes before committing.
- Inflation averages 2–3% annually in the US (Federal Reserve target). Long-term projections that ignore inflation significantly overstate future purchasing power.
- Tax treatment varies widely by account type (IRA, 401k, brokerage), jurisdiction, and income level. Verify tax implications with a CPA before acting.
- Compound interest works for you in savings/investments and against you in debt. The difference of even 1% in rate, sustained over decades, is enormous.
- Emergency funds (3–6 months of expenses) should be established before optimizing for returns — financial security precedes financial growth.
- Financial projections older than 12 months should be recalculated. Interest rates, tax brackets, and market conditions shift materially year to year.
Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.