  We derive a universal thermodynamic uncertainty relation (TUR) that applies
to an arbitrary observable in a general Markovian system. The generality of our
result allows us to make two findings: (1) for an arbitrary out-of-equilibrium
system, both the entropy production and the \textit{degree of non-stationarity}
are required to tightly bound the strength of a thermodynamic current; (2) by
removing the antisymmetric constraint on observables, the TUR in physics and a
fundamental inequality in theoretical finance can be unified in a single
framework.
