In　this　paper,　we　establish　a　dynamic　model　of　the　hyper-chaotic　finance　system　which　is　composed　of　four　sub-blocks:　production,　money,　stock　and　labor　force.　We　use　four　first-order　differential　equations　to　describe　the　time　variations　of　four　state　variables　which　are　the　interest　rate,　the　investment　demand,　the　price　exponent　and　the　average　profit　margin.　The　hyper-chaotic　finance　system　has　simplified　the　system　of　four　dimensional　autonomous　differential　equations.　According　to　four　dimensional　differential　equations,　numerical　simulations　are　carried　out　to　find　the　nonlinear　dynamics　characteristic　of　the　system.　From　numerical　simulation,　we　obtain　the　three　dimensional　phase　portraits　that　show　the　nonlinear　response　of　the　hyper-chaotic　finance　system.　From　the　results　of　numerical　simulation,　it　is　found　that　there　exist　periodic　motions　and　chaotic　motions　under　specific　conditions.　In　addition,　it　is　observed　that　the　parameter　of　the　saving　has　significant　influence　on　the　nonlinear　dynamical　behavior　of　the　four　dimensional　autonomous　hyper-chaotic　system.