CAPM Calculator
Print| Market Risk Premium (Rm - Rf) | 0.00% |
When investing in risky assets, investors demand a minimum return to compensate for taking on risk above risk-free government securities. The standard financial model used globally to quantify this required rate of return is the Capital Asset Pricing Model (CAPM).
Our free CAPM Calculator computes the expected return of an asset or company’s cost of equity by establishing a mathematical link between risk-free yields, systematic market risk (Beta), and the overall equity market risk premium.
How to Calculate Expected Return Using CAPM
The CAPM equation asserts that an asset’s expected return equals the risk-free rate plus a risk premium proportional to its systematic market risk (Beta).
The CAPM Formula:
E(Rᵢ) = R_f + βᵢ × (R_m - R_f)
- E(Rᵢ): Expected Return on the asset (or Cost of Equity, Kₑ).
- R_f: Risk-Free Rate (e.g., yield on 10-year U.S. Treasury bonds).
- βᵢ: Stock Beta (systematic risk coefficient relative to the market).
- R_m: Expected Market Return (e.g., historical annual return of S&P 500).
- (R_m – R_f): Market Risk Premium (MRP) — the additional reward required for investing in equities over risk-free bonds.
Step-by-Step Calculation Example
Suppose a financial analyst needs to determine the cost of equity for a firm with the following market variables:
- 10-Year U.S. Treasury Yield (R_f): 4.0%
- Stock Beta (βᵢ): 1.25 (25% more volatile than the market)
- Expected S&P 500 Market Return (R_m): 10.0%
Let’s calculate the Market Risk Premium and the resulting Expected Return:
Market Risk Premium (MRP) = 10.0% - 4.0% = 6.0%
E(Rᵢ) = 4.0% + [ 1.25 × 6.0% ]
E(Rᵢ) = 4.0% + 7.5% = 11.50%
| CAPM Component | Input Parameter | Calculated Value |
|---|---|---|
| Risk-Free Rate (R_f) | 10-Year US Treasury | 4.00% Baseline |
| Market Risk Premium (R_m – R_f) | 10.0% Market – 4.0% R_f | 6.00% Equity Premium |
| Systematic Risk Multiplier (β) | 1.25 Stock Beta | +7.50% Risk Premium |
| Required CAPM Return E(Rᵢ) | Target Hurdle Rate | 11.50% Expected Return |
Frequently Asked Questions (FAQ)
Why is CAPM critical in corporate finance?
CAPM is the standard framework for calculating a company’s Cost of Equity, which feeds directly into the Weighted Average Cost of Capital (WACC). Companies use WACC as the discount rate for evaluating capital expenditures and corporate acquisitions.
What is the difference between Alpha and CAPM expected return?
CAPM predicts what an investment should return given its Beta. Alpha (α) measures the actual outperformance or underperformance realized by a fund manager relative to the CAPM expectation.
What are the primary limitations of the CAPM model?
CAPM relies on single-factor systematic risk (Beta) and assumes ideal conditions (frictionless markets, single holding periods, borrowing/lending at risk-free rates). It ignores other risk factors like company size or value premiums, which models like Fama-French address.