# Negatively Correlated Assets with similar medium-term trends

Theoretically, one could have stock prices with returns $$\rho_1(k)$$ and $$\rho_2(k)$$ having mean values $$\mu_1$$ and $$\mu_2$$, but still be negatively correlated with $$\mathbb{E}[(\rho_1(k)-\mu_1)(\rho_2(k)-\mu_2)]<0.$$ Could this kind of model have any practical applications? Could we say that pairs-trading exploits a similar model?