The objective of the study is to verify whether the use of traditional derivative pricing tools for the analysis of the crypto market generates coherent results with values practiced by the market. After the advent of cryptoassets, several exchanges started derivatives trading, and a new pricing challenge arose, considering that it is a new object asset, with great potential for appreciation and uncertainty. Qualitative research was carried out applying the cross-sectional survey method. Time series of bitcoin spot and futures prices were analyzed, as well as history of trades carried out with bitcoin call options in the time frame between November 14, 2016 and April 20, 2020. Statistical tests validated the behavior of the bitcoin price series as like the Brownian Geometric Movement. The log-normality premise of the returns from bitcoin price series for using the Black-Scholes-Merton formulas has been relaxed. The comparative results of the theoretical pricing of the bitcoin futures contract with the futures prices practiced by the market showed that premiums were charged, meeting the normal backwardation theory, contango theory, and net protection hypothesis. The comparative results between the use of historical and implicit volatilities for pricing options using the Black-Scholes-Merton formulas showed that, despite shocks having impacted the predictive power of historical volatilities, it was possible to identify mean-reversion characteristics in the implied volatility graphs. For options with longer maturities, historical volatilities appeared to have some type of validity as predictors.