Kurtosis and Skewness

Kurtosis and skewness are statistical measures that describe the shape of a probability distribution beyond its mean and variance. Kurtosis measures the thickness of the tails, indicating the frequency of extreme events, while skewness measures the asymmetry of the distribution.

In finance, a distribution with high kurtosis and negative skewness indicates a high risk of sudden, large negative price moves. Cryptocurrency returns often exhibit these characteristics, necessitating more complex models than simple normal distributions.

Traders use these metrics to refine their risk assessments and understand the true nature of the potential outcomes. By accounting for the shape of the distribution, one can better estimate the risk of extreme losses or gains.

These concepts are essential for advanced portfolio construction and risk mitigation in derivatives trading.