Financial Risk and Return Distributions
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Questions and Answers

What characterizes leptokurtic return distributions?

  • They are always normally distributed.
  • They exhibit fat tails, making extreme losses more likely. (correct)
  • They show no extreme changes in financial returns.
  • They have thin tails with low frequency of extreme changes.

Why is it risky to rely on a normal distribution for financial risk assessment?

  • It simplifies the complexities of market behavior.
  • It can lead to an underestimation of the risk of extreme events. (correct)
  • It requires less data for analysis.
  • It assumes that returns are always positive.

What is a consequence of neglecting leptokurtic distributions in risk management?

  • Increased likelihood of bankruptcy due to extreme losses. (correct)
  • A better understanding of moderate changes.
  • Enhanced accuracy in predictive modeling.
  • Overestimation of tail risk.

Which of the following statements is a stylized fact about financial returns?

<p>Kurtosis of financial returns declines with temporal aggregation. (D)</p> Signup and view all the answers

What does the term 'volatility clustering' imply in financial returns?

<p>It suggests that large changes tend to be followed by other large changes. (D)</p> Signup and view all the answers

Which type of risk is specifically addressed in the content?

<p>Price risk (A)</p> Signup and view all the answers

What does a skewness of 0 indicate about a distribution?

<p>The distribution is symmetric (B)</p> Signup and view all the answers

What characterizes a negatively skewed distribution?

<p>Majority of probability mass is located to the right of the mean (A)</p> Signup and view all the answers

What type of distribution has a higher kurtosis than a normal distribution?

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

Which statement is true regarding negatively skewed return distributions?

<p>They are generally unfavorable for investors due to extreme losses. (B)</p> Signup and view all the answers

What is the correct interpretation of positive kurtosis?

<p>Higher peak around the mean with infrequent extreme deviations. (D)</p> Signup and view all the answers

What does the third moment of a distribution describe?

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

What risk is characterized by the inability to find a counterpart to sell assets?

<p>Liquidity risk (B)</p> Signup and view all the answers

Flashcards

Fat Tails

A probability distribution with more extreme values (both positive and negative) than a normal distribution.

Leptokurtic Distribution

A probability distribution that has a higher peak and fatter tails compared to a normal distribution.

Leptokurtosis in Financial Returns

A property of financial returns where extreme price changes are more likely to occur than predicted by a normal distribution.

Volatility Clustering

The tendency for large price changes in financial markets to be followed by other large changes, and small changes by other small changes.

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Near-Symmetric Return Distributions

The tendency for financial returns to be distributed more symmetrically around zero, with less skewness than a normal distribution.

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Default Risk

The risk that an investor won't be able to receive the full amount invested back.

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Liquidity Risk

This risk is associated with the difficulty in selling an asset quickly for its fair market value.

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Skewness

A statistical measure that represents the symmetry or asymmetry of a distribution around its mean.

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Zero Skewness

Skewness is considered zero when the distribution is symmetrical.

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Negative Skewness

Negative skewness refers to a distribution where the left tail is longer than the right tail. This implies that the majority of the data is concentrated on the right side of the mean.

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Positive Skewness

Positive skewness represents a distribution where the right tail is longer than the left tail. This indicates that the majority of the data is concentrated on the left side of the mean.

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Kurtosis

Kurtosis describes the 'peakedness' or 'tailedness' of a distribution. Normal distributions have a kurtosis of 0.

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Study Notes

Financial Risk - Price Risk

  • Price risk is a type of financial risk.
  • Default risk and liquidity risk are other types of financial risk.

Normal Distribution

  • Useful for assessing investment risk.
  • Includes higher moments, not just mean and variance.
  • The third moment is skewness.

Skewness

  • Measures distribution symmetry.
  • 0 = symmetric distribution.
  • Negative skewness = left-skewed, majority of probability to the right of the mean. Longer tail on the left.
  • Positive skewness = right-skewed, majority of probability to the left of the mean. Longer tail on the right..

Kurtosis

  • The fourth moment of a distribution.
  • Normal distribution has kurtosis of 0.
  • Positive kurtosis = leptokurtic (fat tails, higher peak around the mean).
  • Negative kurtosis = platykurtic (thin tails, lower peak around the mean).

Financial Return Distributions

  • High-frequency financial returns are leptokurtic.
  • Kurtosis of financial returns decreases with increased time intervals.
  • Financial return distributions are roughly symmetric.
  • Market volatility tends to cluster. Large changes tend to be followed by large changes, and small changes tend to be followed by small changes.

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Description

This quiz covers essential concepts in financial risk, including price risk, default risk, and liquidity risk. It also explores normal distribution, skewness, and kurtosis, focusing on their relevance to assessing investment returns. Test your understanding of these key financial principles!

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