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Capital asset pricing model (CAPM)

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Intro to Mathematical Economics

Definition

The capital asset pricing model (CAPM) is a financial formula that establishes a linear relationship between the expected return of an asset and its systematic risk, represented by beta. It helps investors understand the trade-off between risk and return, allowing them to make informed decisions about their investments based on the expected return for taking on a particular level of risk. CAPM is crucial for pricing risky securities and plays a key role in portfolio management and asset allocation.

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5 Must Know Facts For Your Next Test

  1. CAPM is based on the idea that investors need to be compensated for both the time value of money and the risk they take on by investing in assets.
  2. The formula for CAPM is: $$E(R_i) = R_f + \beta_i(E(R_m) - R_f)$$ where $E(R_i)$ is the expected return of the asset, $R_f$ is the risk-free rate, $\beta_i$ is the beta of the asset, and $E(R_m)$ is the expected return of the market.
  3. The model assumes that investors are rational and markets are efficient, meaning all available information is reflected in asset prices.
  4. CAPM provides a benchmark for evaluating investment performance by comparing actual returns against expected returns based on systematic risk.
  5. Despite its popularity, CAPM has limitations, including its reliance on historical data for estimating beta and assumptions about market efficiency that may not hold true in real-world situations.

Review Questions

  • How does CAPM relate to the concept of systematic risk and investor decision-making?
    • CAPM directly connects expected returns to systematic risk through beta, which measures how much an asset's price changes relative to market movements. By using CAPM, investors can assess whether an investment's potential return compensates adequately for its level of systematic risk. This relationship helps investors make informed choices about their portfolios by aligning their risk tolerance with expected returns.
  • Evaluate the effectiveness of CAPM as a tool for assessing investment performance in real-world markets.
    • While CAPM provides a useful framework for assessing expected returns based on risk, its effectiveness can be limited in real-world scenarios. The assumptions of market efficiency and rational investor behavior may not always hold true, leading to deviations between expected and actual returns. Additionally, factors such as behavioral biases and macroeconomic influences can affect asset pricing, challenging the model's accuracy and reliability as a sole tool for performance evaluation.
  • Analyze how changes in interest rates might impact CAPM calculations and investment strategies.
    • Changes in interest rates directly influence the risk-free rate component of the CAPM formula, affecting expected returns across all assets. When interest rates rise, the risk-free rate increases, leading to higher required returns for riskier investments. This shift can prompt investors to reassess their portfolios and potentially shift towards lower-risk assets or those with higher beta values to maintain desired return levels. Understanding these dynamics allows investors to adapt their strategies based on changing economic conditions while considering how rate fluctuations can alter the attractiveness of various investments.
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