  In this paper we consider Huang--Li nonlinear financial system recently
studied in the literature. It has the form of three first order differential
equations \[ \dot x=z+(y-a)x,\quad \dot y=1-b y-x^2,\quad \dot z=-x-c z, \]
where $(a,b,c)$ are real positive parameters. We show that this system is not
integrable in the class of functions meromorphic in variables $(x,y,z)$. We
give an analytic proof of this fact analysing properties the of differential
Galois group of variational equations along certain particular solutions of the
system.
