Quiz: CAPM and beta

What does CAPM stand for?

CAPM stands for Capital Asset Pricing Model, a financial model used to determine the expected return on an asset.

Formula for expected return in CAPM?

The formula is: $\displaystyle E(R_i) = R_f + \\beta_i(E(R_m) - R_f)$, where $\displaystyle E(R_i)$ is the expected return.

True or False: CAPM considers only systematic risk.

True. CAPM focuses on systematic risk, which is the risk inherent to the entire market.

Components of the CAPM formula?

- Risk-Free Rate ($\displaystyle R_f$) - Expected Market Return ($\displaystyle E(R_m)$) - Beta ($\displaystyle \\beta_i$)

Fill in the blank: CAPM helps calculate the ______ return on an asset.

expected

How does beta affect expected return?

A higher beta indicates greater volatility compared to the market, leading to a higher expected return.

Risk-Free Rate definition?

The risk-free rate is the return on an investment with zero risk, typically represented by government bonds.

What is the market risk premium?

The market risk premium is the excess return expected from the market over the risk-free rate: $\displaystyle E(R_m) - R_f$.

Comparison: CAPM vs. DCF?

CAPM estimates expected return using market risk; DCF values an asset based on future cash flows.

Fill in the blank: CAPM assumes that investors are ______.

rational

True or False: CAPM assumes all investors have the same information.

True. CAPM is based on the assumption of perfect information among all investors.

What is the critical assumption of CAPM?

Investors hold diversified portfolios to eliminate unsystematic risk, focusing only on systematic risk.

Explain what beta represents.

Beta measures an asset's volatility relative to the market; a beta of 1 indicates average market risk.

Example: If $\displaystyle R_f$ is 2% and $\displaystyle E(R_m)$ is 8%, what is the market risk premium?

The market risk premium is: $\displaystyle 8\% - 2\% = 6\%$.

What does a beta of 1.5 mean?

A beta of 1.5 means the asset is 50% more volatile than the market, suggesting higher risk.

Expected return for a stock with beta 1.2?

If $\displaystyle R_f$ is 3% and $\displaystyle E(R_m)$ is 10%, then: $\displaystyle E(R) = 3\% + 1.2(10\% - 3\%) = 10.4\%$.

What is beta in finance?

Beta measures the volatility of an asset compared to the market. A beta greater than 1 indicates higher risk and potential return.

How is beta calculated?

Beta is calculated using the formula: \( \\beta = \\frac{Covariance(R_i, R_m)}{Variance(R_m)} \) where \( R_i \) is the asset's return, and \( R_m \) is the market return.

True or False: Beta is the same as standard deviation.

False. Beta measures systematic risk relative to the market, while standard deviation measures total risk.

A stock has a beta of 1.5. What does this imply?

This implies the stock is 50% more volatile than the market, indicating higher risk and potential returns.

How does beta affect CAPM?

In CAPM, beta is used to determine the expected return of an asset: \( E(R_i) = R_f + \\beta (E(R_m) - R_f) \).

What is the beta of a risk-free asset?

The beta of a risk-free asset is 0, as it has no volatility relative to the market.

Fill in the blank: A beta of ___ indicates an asset moves with the market.

1. A beta of 1 means the asset's price moves in sync with the market.

How does a high beta affect investment decisions?

Investors may view high beta stocks as riskier but with potential for higher returns, influencing their portfolio strategy.

Compare beta of 0.8 vs. beta of 1.2.

Beta 0.8: less volatile, lower risk. Beta 1.2: more volatile, higher risk.

What does a negative beta signify?

A negative beta indicates an asset moves inversely to the market, often seen in certain hedge assets.

Cause → Effect: High beta stocks during market downturns.

High beta stocks typically experience greater declines in value during market downturns compared to low beta stocks.

What factors can influence an asset's beta?

Factors include business risk, financial leverage, and market conditions.

True or False: Beta is constant over time.

False. Beta can change due to shifts in market conditions or the company's risk profile.

How does diversification affect portfolio beta?

Diversification can lower overall portfolio beta by combining assets with different beta values, reducing risk.

Example: Calculate beta from returns.

If stock A returns 10% and market returns 8%, beta = Covariance(10, 8) / Variance(8).

What role does beta play in modern portfolio theory?

In modern portfolio theory, beta helps in assessing risk and optimizing asset allocation based on investor risk tolerance.