“…The extraction of implied statistical quantities, such as the implied volatility of the asset probability distribution, goes back to the seminal paper by Black and Scholes (). Interest has more recently expanded to other implied moments, such as those of the underlying asset distributions that are constructed from option prices, not only because of their relevance to provide a clearer picture of current market expectations (Vergote and Puigvert, ; Vesela and Puigvert, ; Sihvonen and Vähämaa, ), but also because of their predictive and forward looking power in decision and policy making (Mixon, ; DeMiguel et al ., ; Driessen et al ., ; Atilgana et al ., ). The implied volatility (Atilgana et al ., ), correlation (Skintzi and Apostolos, ; Driessen et al ., ), skewness (Mixon, ; DeMiguel et al ., ) and kurtosis (DeMiguel et al ., ) all help to improve significantly the understanding of expectations, risk management and asset return predictability.…”