In this paper, we investigate the behavior of the bitcoin (BTC) price through the vanilla options available on the market. We calibrate a series of Markov models on the option surface. In particular, we consider the Black-Scholes model, Laplace model, five Variance Gamma related models and the...

Lower and upper prudent valuations in two price economies obtained on sufficiently distorting physical probabilities for returns to horizons matching option maturities straddle the market prices of options. Market prices are then modeled as geometric averages of the extremal valuations. Upper...

In this paper, we introduce two classes of indices which can be used to measure the market perception concerning the degree of dependency that exists between a set of random variables, representing different stock prices at a fixed future date. The construction of these measures is based on the...