Shannon Entropy

Calculation

Shannon Entropy, within cryptocurrency, options, and financial derivatives, quantifies the uncertainty inherent in price movements or state transitions of underlying assets, serving as a measure of information content. Its application extends to assessing the randomness of order book events, identifying potential market manipulation, and gauging the predictability of volatility surfaces. A higher entropy value indicates greater unpredictability, influencing risk models and informing dynamic hedging strategies, particularly in illiquid or rapidly evolving digital asset markets.