Capital Asset Pricing Model (CAPM): Definition, Formula, and Assumptions

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What Is the Capital Asset Pricing Model (CAPM)?

The Capital Asset Pricing Model (CAPM) is a financial framework that establishes the relationship between systematic risk (market-wide risks) and the expected return on assets, particularly stocks. It provides a linear equation to determine the required return on an investment based on its risk profile.

CAPM relies on three key components:

Widely used in finance, CAPM helps price risky securities, evaluate investment opportunities, and assess cost of capital.


Key Takeaways


CAPM Formula

The expected return of an asset is computed as:

ERi = Rf + βi × (ERm − Rf)

Where:

👉 Explore how beta impacts your portfolio


How Beta Works in CAPM

Beta is multiplied by the market risk premium to adjust for an asset’s specific risk.


Practical Example

Scenario:

Calculation:
ERi = 3% + 1.3 × (8% − 3%) = 9.5%

If discounted future cash flows align with $100, the stock is fairly valued.


Limitations of CAPM

  1. Unrealistic Assumptions:

    • Markets are perfectly efficient (often untrue).
    • Investors are rational and risk-averse.
  2. Beta’s Shortcomings:

    • Historical beta may not predict future risk.
    • Ignores asymmetric volatility (e.g., downside shocks).
  3. Static Risk-Free Rate:

    • Assumes constant Rf, which fluctuates in reality.
  4. Alternative Models:

    • Fama-French 3-Factor Model: Adds size and value factors.
    • Arbitrage Pricing Theory (APT): Multifactor approach.

CAPM vs. Efficient Frontier

While CAPM evaluates individual assets, the efficient frontier optimizes entire portfolios:

👉 Learn more about optimizing risk-return


FAQs

1. Who developed CAPM?

Answer: William Sharpe, Jack Treynor, and others in the 1960s, building on Harry Markowitz’s MPT.

2. What are CAPM’s core assumptions?

Answer: Efficient markets, rational investors, no taxes/transaction costs, and linear risk-return.

3. How is beta calculated?

Answer: Via statistical regression of an asset’s returns against market returns.

4. Can CAPM be used internationally?

Answer: Yes, via the International CAPM (ICAPM), which accounts for currency risks.

5. Why is CAPM still used despite flaws?

Answer: Simplicity, benchmark utility, and ease of comparing investments.


Bottom Line

CAPM offers a foundational approach to linking risk and return, though its assumptions often diverge from real-world conditions. Investors use it alongside tools like MPT and multifactor models to refine decisions. Always validate CAPM outputs with market context and alternative analyses.

For deeper dives, consult financial textbooks or certified advisors.

🚀 Pro Tip: Combine CAPM with qualitative analysis for robust valuations.