Skewness
Measures asymmetry — are big losses or big gains more likely?
Skewness measures asymmetry in return distributions. Positive skew (right tail longer) means occasional large gains, many small losses — desirable. Negative skew (left tail longer) means occasional large losses, many small gains — undesirable crash risk. Zero skew is symmetric (normal distribution). Typical values: Equity indices ~0 to −0.5 (negative skew from crash risk). Individual stocks −0.5 to 0. Long-only portfolios typically negative. Options: Selling puts creates extreme negative skew (small premiums, rare blow-ups). Buying calls creates positive skew (small losses, rare home runs). Skewness matters because investors are asymmetrically sensitive to losses — a −30% crash hurts more than a +30% gain helps.
Kurtosis (Excess)
Measures fat tails — how often extreme events occur vs. normal distribution.
Monte Carlo Simulation
Generating thousands of possible future scenarios through random sampling.
DV01
Dollar change in value for a 1 basis point (0.01%) yield move.
CS01
Dollar change in value for a 1 basis point move in credit spread.
Macaulay Duration
The weighted average time (in years) to receive the bond's cash flows.
Modified Duration
Measures the percentage price change for a 1% yield change.