Investment Risk and Return Concepts

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Questions and Answers

Which of the following terms defines the average annual return on an investment over a specified time period?

  • CAGR (correct)
  • Beta
  • Expected return
  • Standard deviation

What is a measure of a stock's volatility in relation to the overall market?

  • Standard deviation
  • Variance
  • Sharpe ratio
  • Beta (correct)

Which type of risk can be reduced through diversification?

  • Systematic risk
  • Interest rate risk
  • Market risk
  • Diversifiable risk (correct)

Which measure assesses the spread of returns around the expected return of an investment?

<p>Variance (C)</p> Signup and view all the answers

Which investment typically has the least variability in returns over a one-year period?

<p>Treasury bills (B)</p> Signup and view all the answers

What is the most common method for calculating the expected return of a stock?

<p>Applying the Capital Asset Pricing Model (CAPM) (B)</p> Signup and view all the answers

Which of the following measures of risk addresses only the downside of potential returns?

<p>Semivariance (C)</p> Signup and view all the answers

Which statement correctly describes the relationship between variance and standard deviation?

<p>Standard deviation is the square root of variance. (C)</p> Signup and view all the answers

What does the Compound Annual Growth Rate (CAGR) measure?

<p>The rate of return of an investment over a period as if it grew at a steady rate (C)</p> Signup and view all the answers

What type of risk can be eliminated through diversification?

<p>Specific risk (C)</p> Signup and view all the answers

Beta is a measure of which type of risk?

<p>Systematic risk (D)</p> Signup and view all the answers

Which scenario implies a higher risk based on volatility?

<p>Higher standard deviation (B)</p> Signup and view all the answers

What is the relationship between risk and return according to historical data?

<p>Higher risk typically leads to higher returns (B)</p> Signup and view all the answers

What does the variance of a financial return distribution measure?

<p>The magnitude of deviations from the mean return (A)</p> Signup and view all the answers

Which formula correctly represents the calculation of standard deviation from variance?

<p>SD(R) = √Var(R) (C)</p> Signup and view all the answers

If a stock has a variance of 0, what can be inferred about its return?

<p>The return is risk-free and constant (A)</p> Signup and view all the answers

How is standard deviation often interpreted in financial contexts?

<p>As the risk associated with an investment (B)</p> Signup and view all the answers

Systematic risk is defined as risk that:

<p>Affects all securities in the market (A)</p> Signup and view all the answers

What distinguishes standardized returns from expected returns?

<p>Standardized returns show past performance while expected returns predict future returns (A)</p> Signup and view all the answers

Flashcards

Expected Tail Loss

The expected loss in the worst x% of outcomes.

Semivariance

The variance of the losses only.

Downside Risk

A measure of the possibility of losing money.

Variance

A measure of the dispersion of a set of data points around their mean.

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Standard Deviation

The square root of variance, representing the typical deviation from the mean.

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Expected Return

The anticipated return of a specific investment, often a stock.

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Volatility

A measure of risk that considers both upside and downside potential.

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Behavioral Finance

The study of how investors make decisions when faced with uncertain outcomes.

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Probability Distribution

A table or graph that shows the probability of each possible return for an investment.

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Risk

A measure of how much an investment's return is expected to vary from its expected return.

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Return

The potential for an investment to generate gains or losses.

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Risk-Return Tradeoff

An investment with a higher expected return typically carries a higher level of risk.

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Value at Risk (VaR)

A comprehensive measure of risk that accounts for both the probability and magnitude of losses.

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Variance of the Return

A measure of how spread out a distribution of returns is. It's calculated by averaging the squared deviations of each return from the expected return.

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Standard Deviation of the Return

The square root of the variance, expressed in the same units as the returns. It provides a more intuitive measure of variability.

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Risk-free Return

A return that never deviates from its expected value, resulting in a variance of zero.

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Variance Formula

The formula to calculate the variance of a return is Var(R) = E[(R - E[R])^2], which means averaging the squared differences between each return (R) and the expected return (E[R]).

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Standard Deviation Calculation

Calculating the standard deviation involves taking the square root of the variance.

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Risk and Variance/Standard Deviation

The higher the variance and standard deviation, the greater the risk associated with an investment.

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Study Notes

  • Risk and return are closely connected concepts in investment opportunities.
  • Investors only require a risk premium for non-eliminable market risk, not for risk that may be diversified away.
  • The Capital Asset Pricing Model (CAPM) relates risk and return.
  • Investors' optimal portfolio choices are quantified.
  • Estimating the cost of capital for individual projects and firms is also crucial.
  • Investor behavior and capital market efficiency are explored.
  • Historical investment data illustrates the effects of risk on returns.
  • The Law of One Price applies when comparing investment opportunities with equal risk.
  • The performance of different investment options varies significantly.
  • Examples include Procter & Gamble (PG), Advanced Micro Devices (AMD), and U.S. Treasury bills.

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