What is correlation
Correlation measures how returns move in relation to each other. It is between +1 (returns always move together) and -1 (returns always move in opposite way)
Skewness
Skewness for a normal distribution is zero, and any symmetric data
should have a skewness near zero
• Negative values for the skewness indicate data that are skewed left
• Positive values for the skewness indicate data that are skewed right
Positive and negative Kurtosis
- Negative excess kurtosis indicates a “flat” distribution
Leptocurtic Distribution
Leptocurtic Distribution - K > 3
A distribution with wide tails and a tall narrow peak is called leptokurtic
Compared with a normal distribution, a larger fraction of the returns are at the
extremes rather than slightly above or below the mean of the distribution
Platykurtic Distribution
Platykurtic Distribution - K
Which returns are better Leptocurtic or Platykurtic
Leptocurtic
Why Leptocurtic Returns?
Simple diversification
More advanced diversification
Why Portfolio variance equals
the average covariance
Diversification
Strategy designed to reduce risk by spreading
the portfolio across many investments.
Unique Risk
Risk factors affecting only that firm
- Also called “diversifiable risk”
Market Risk
Economy-wide sources of risk that affect the
overall stock market
- Also called “systematic risk”
- Reason why stocks have a tendency to move together – common factor affecting all stocks
What does correlation measure
Correlation measures how returns move in relation to each other