Journal of Risk and Financial Management Article A Comprehensive Statistical Analysis of the Six Major Crypto-Currencies from August 2015 through June 2020 Beatriz Vaz de Melo Mendes 1,* and André Fluminense Carneiro 2 1 IM/COPPEAD (Institute of Mathematics/Instituto de Pós-Graduação e Pesquisa em Administração), Federal University at Rio de Janeiro, Rio de Janeiro 21941901, Brazil 2 COPPEAD (Instituto de Pós-Graduação e Pesquisa em Administração), Federal University at Rio de Janeiro, Rio de Janeiro 21941901, Brazil;
[email protected] * Correspondence:
[email protected] Received: 17 July 2020; Accepted: 19 August 2020; Published: 25 August 2020 Abstract: After more than a decade of existence, crypto-currencies may now be considered an important class of assets presenting some unique appealing characteristics but also sharing some features with real financial assets. This paper provides a comprehensive statistical analysis of the six most important crypto-currencies from the period 2015–2020. Using daily data we (1) showed that the returns present many of the stylized facts often observed for stock assets, (2) modeled the returns underlying distribution using a semi-parametric mixture model based on the extreme value theory, (3) showed that the returns are weakly autocorrelated and confirmed the presence of long memory as well as short memory in the GARCH volatility, (4) used an econometric approach to compute risk measures, such as the value-at-risk, the expected shortfall, and drawups, (5) found that the crypto-coins’ price trajectories do not contain speculative bubbles and that they move together maintaining the long run equilibrium, and (6) using static and dynamic D-vine pair-copula models, assessed the true dependence structure among the crypto-assets, obtaining robust copula based bivariate dynamic measures of association.