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Stock model is used to describe the evolution of stock price in the form of differential equations.In early years, the stock price was assumed to follow a stochastic differential equation driven by a Brownian motion, and some famous models such as Black-Scholes stock model and Black-Karasinski stock model were widely used.This paper assumes that the stock price follows an uncertain differential equation driven by a canonical process rather than Brownian motion, and accepts Lius stock model to simulate the uncertain market.Then this paper proves a no-arbitrage determinant theorem for Lius stock model and presents a sufficient and necessary condition for no-arbitrage.Finally, some examples are given to illustrate the usefulness of the no-arbitrage determinant theorem.