For the analysis, we employ a nested dynamic model (a la simultaneous equations model) that controls endogeneity. The model is estimated by 2SLS. We then find that altcoins of larger market capitalizations (major altcoins) are positively correlated with EUR and negatively with CNY. Equivalent results are also obtained in the pooled regression model that uses a weight for BTC price based on relative market capitalization to treat altcoins of smaller market capitalizations (minor altcoins) as major ones. The weight is applied in order to adjust prices of altcoins to BTC price since they vary from few dollars to less than pennies. The regression for Bitcoin price also shows similar results: siginificantly positive correlation with EUR and negative with CNY. On the other hand, we also find that minor coins are negatively correlated with BTC. The results suggest that BTC is a substitute for minor altcoins and EUR and CNY are a complement and a substitute for major ones.
In the analysis, major and minor altcoins are classified by a structural breaking test. Identification tests, unit-root tests, and cointegration tests are provided for all regressions. In addition, heteroskedasticity is also considered and controled.